Efficient parametric uncertainty analysis within the hybrid Finite Element/Statistical Energy Analysis method

This paper is concerned with the development of efficient algorithms for propagating parametric uncertainty within the context of the hybrid Finite Element/Statistical Energy Analysis (FE/SEA) approach to the analysis of complex vibro-acoustic systems. This approach models the system as a combination of SEA subsystems and FE components; it is assumed that the FE components have fully deterministic properties, while the SEA subsystems have a high degree of randomness. The method has been recently generalised by allowing the FE components to possess parametric uncertainty, leading to two ensembles of uncertainty: a non-parametric one (SEA subsystems) and a parametric one (FE components). The SEA subsystems ensemble is dealt with analytically, while the effect of the additional FE components ensemble can be dealt with by Monte Carlo Simulations. However, this approach can be computationally intensive when applied to complex engineering systems having many uncertain parameters. Two different strategies are proposed: (i) the combination of the hybrid FE/SEA method with the First Order Reliability Method which allows the probability of the non-parametric ensemble average of a response variable exceeding a barrier to be calculated and (ii) the combination of the hybrid FE/SEA method with Laplace's method which allows the evaluation of the probability of a response variable exceeding a limit value. The proposed approaches are illustrated using two built-up plate systems with uncertain properties and the results are validated against direct integration, Monte Carlo simulations of the FE and of the hybrid FE/SEA models. © 2013 Elsevier Ltd.

Gaussian process volatility model

The prediction of time-changing variances is an important task in the modeling of financial data. Standard econometric models are often limited as they assume rigid functional relationships for the evolution of the variance. Moreover, functional parameters are usually learned by maximum likelihood, which can lead to over-fitting. To address these problems we introduce GP-Vol, a novel non-parametric model for time-changing variances based on Gaussian Processes. This new model can capture highly flexible functional relationships for the variances. Furthermore, we introduce a new online algorithm for fast inference in GP-Vol. This method is much faster than current offline inference procedures and it avoids overfitting problems by following a fully Bayesian approach. Experiments with financial data show that GP-Vol performs significantly better than current standard alternatives.

Molecular systematics and biogeography of Crawfurdia, Metagentiana and Tripterospermum (Gentianaceae) based on nuclear ribosomal and plastid DNA sequences

Background and Aims The systematic position of the genus Metagentiana and its phylogenetic relationships with Crawfurdia, Gentiana and Tripterospermum have not been explicitly addressed. These four genera belong to one of two subtribes (Gentianinae) of Gentianeae. The aim of this paper is to examine the systematic position of Crawfurdia, Metagentiana and Tripterospermum and to clarify their phylogenetic affinities more clearly using ITS and trnL intron sequences.Methods Nucleotide sequences from the internal transcribed spacers (ITS) of nuclear ribosomal DNA and the plastid DNA trnL (UAA) intron were analysed phylogenetically. Ten of fourteen Metagentiana species were sampled, together with 40 species of other genera in the subtribe Gentianinae.Key Results The data support several previously published conclusions relating to the separation of Metagentiana from Gentiana and its closer relationships to Crawfurdia and Tripterospermum based on studies of gross morphology, floral anatomy, chromosomes, palynology, embryology and previous molecular data. The molecular clock hypothesis for the tested sequences in subtribe Gentianinae was not supported by the data (P < 0.05), so the clock-independent non-parametric rate smoothing method was used to estimate divergence time. This indicates that the separation of Crawfurdia, Metagentiana and Tripterospermum from Gentiana occurred about 11.4-21.4 Mya (million years ago), and the current species of these three genera diverged at times ranging from 0.4 to 6.2 Mya.Conclusions The molecular analyses revealed that Crawfurdia, Metagentiana and Tripterospermum do not merit status as three separate genera, because sampled species of Crawfurdia and Tripterospermum are embedded within Metagentiana. The speciation and rapid radiation of these three genera is likely to have occurred in western China as a result of upthrust of the Himalayas during the late Miocene and the Pleistocene.

Survival analysis of adult tuberculosis disease

Background: We conducted a survival analysis of all the confirmed cases of Adult Tuberculosis (TB) patients treated in Cork-City, Ireland. The aim of this study was to estimate Survival time (ST), including median time of survival and to assess the association and impact of covariates (TB risk factors) to event status and ST. The outcome of the survival analysis is reported in this paper. Methods: We used a retrospective cohort study research design to review data of 647 bacteriologically confirmed TB patients from the medical record of two teaching hospitals. Mean age 49 years (Range 18–112). We collected information on potential risk factors of all confirmed cases of TB treated between 2008–2012. For the survival analysis, the outcome of interest was ‘treatment failure’ or ‘death’ (whichever came first). A univariate descriptive statistics analysis was conducted using a non- parametric procedure, Kaplan -Meier (KM) method to estimate overall survival (OS), while the Cox proportional hazard model was used for the multivariate analysis to determine possible association of predictor variables and to obtain adjusted hazard ratio. P value was set at <0.05, log likelihood ratio test at >0.10. Data were analysed using SPSS version 15.0. Results: There was no significant difference in the survival curves of male and female patients. (Log rank statistic = 0.194, df = 1, p = 0.66) and among different age group (Log rank statistic = 1.337, df = 3, p = 0.72). The mean overall survival (OS) was 209 days (95%CI: 92–346) while the median was 51 days (95% CI: 35.7–66). The mean ST for women was 385 days (95%CI: 76.6–694) and for men was 69 days (95%CI: 48.8–88.5). Multivariate Cox regression showed that patient who had history of drug misuse had 2.2 times hazard than those who do not have drug misuse. Smokers and alcohol drinkers had hazard of 1.8 while patients born in country of high endemicity (BICHE) had hazard of 6.3 and HIV co-infection hazard was 1.2. Conclusion: There was no significant difference in survival curves of male and female and among age group. Women had a higher ST compared to men. But men had a higher hazard rate compared to women. Anti-TNF, immunosuppressive medication and diabetes were found to be associated with longer ST, while alcohol, smoking, RICHE, BICHE was associated with shorter ST.

Robust test method for time-course microarray experiments.

BACKGROUND: In a time-course microarray experiment, the expression level for each gene is observed across a number of time-points in order to characterize the temporal trajectories of the gene-expression profiles. For many of these experiments, the scientific aim is the identification of genes for which the trajectories depend on an experimental or phenotypic factor. There is an extensive recent body of literature on statistical methodology for addressing this analytical problem. Most of the existing methods are based on estimating the time-course trajectories using parametric or non-parametric mean regression methods. The sensitivity of these regression methods to outliers, an issue that is well documented in the statistical literature, should be of concern when analyzing microarray data. RESULTS: In this paper, we propose a robust testing method for identifying genes whose expression time profiles depend on a factor. Furthermore, we propose a multiple testing procedure to adjust for multiplicity. CONCLUSIONS: Through an extensive simulation study, we will illustrate the performance of our method. Finally, we will report the results from applying our method to a case study and discussing potential extensions.

Alcohol, Tobacco and Pharmacy Students: Usage and Views on Professional Issues

Introduction/background: This study aimed to ascertain pharmacy students’ use and views on cigarettes and alcohol (including in relation to provision of health promotion advice) and to establish if alcohol intake affected academic performance. Within the United Kingdom (UK), there has been limited research conducted in this area
Methods: Following ethical approval, pharmacy students (n=581) were invited to participate in a pre-piloted electronic questionnaire, consisting of 21 questions on smoking and alcohol. Descriptive statistics and non-parametric tests were used for data analyses.
Results: A response rate of 64.5% (375/581) was obtained (69.9% female, 30.2% male). Many respondents (77.9%) reported that they drank alcohol; whereas only 3.7% stated they currently smoked cigarettes. Students who drank alcohol were more likely to fail elements of the program than those who did not. Less than half (47.8%) were in agreement that it was hypocritical for a pharmacist to give health promotion advice and then get drunk outside of work.
Discussion/conclusions: Students seem to consider that lifestyle recommendations are less relevant for themselves and also that a pharmacist’s responsibility centers on providing advice, rather than being a role-model. Alcohol consumption appears to negatively influence academic achievement.

Empathy in UK pharmacy students: assessing differences by gender, level in the degree programme, part-time employment and medical status

Background: Empathy is an important aspect of patient–healthcare professional interactions.Aims: To investigate whether gender, level in the degree programme, employment and health status affected empathy scores of undergraduate pharmacy students.Method: All undergraduate pharmacy students (n=529) at Queen’s University Belfast were invited via email to completean online validated empathy questionnaire. Empathy scores were calculated and non-parametric tests used to determine associations between factors.Results: Response rate was 60.1% (318/529) and the mean empathy score was 106.19. Scores can range from 20 to 140,with higher scores representing a greater degree of empathy. There was no significant difference between genders (p=0.211). There was a significant difference in scores across the four levels of the programme (p<0.001); scores were lowest at Level 1 and greatest at Level 4 (final year). There were no significant differences in scores for respondents who had a part-time job, a chronic condition, or took regular medication in comparison to those who did not (p=0.028,p=0.880, p=0.456, respectively).Conclusion: A reasonable level of empathy was found relative to other studies; this could be further enhanced at lower levels of the degree pathway.

Essays on Applications of the Factor Model

Thesis (Ph.D.)--University of Washington, 2013

Jumps in the Volatility of Financial Markets.

Recent work suggests that the conditional variance of financial returns may exhibit sudden jumps. This paper extends a non-parametric procedure to detect discontinuities in otherwise continuous functions of a random variable developed by Delgado and Hidalgo (1996) to higher conditional moments, in particular the conditional variance. Simulation results show that the procedure provides reasonable estimates of the number and location of jumps. This procedure detects several jumps in the conditional variance of daily returns on the S&P 500 index.

Les multiples trajectoires d’activité physique supervisée et non supervisée chez les enfants du primaire au Québec : un modèle écologique

Contexte : L’activité physique est une composante centrale du développement physique, psychologique et social de l'enfant, particulièrement au sein d'une société où l'impact de la sédentarité et de l'obésité devient de plus en plus important. Cependant, les trajectoires d’activité physique hors école et leurs déterminants sont peu étudiés et les connaissances sur ce sujet sont limitées. Il est également notoire que les types d’activité physique sont rarement pris en considération. Objectif : Ce mémoire a pour but (a) de déterminer les trajectoires de pratique d’activité physique au cours du développement des enfants (b) de valider l’association entre l’activité physique supervisée et l’activité non supervisée et (c) d’identifier les déterminants au niveau du quartier, de la famille et des caractéristiques individuelles associés aux trajectoires de pratique d’activité physique supervisée et non supervisée. Participants : 1 814 enfants (51% garçons) nés en 1998 ayant participé à l’Étude Longitudinale du Développement des Enfants du Québec (ELDEQ). Les données récoltées proviennent uniquement de leur mère. Mesures : La fréquence de l’activité physique supervisée et non supervisée a été mesurée à quatre reprises alors que les enfants étaient âgés entre 5 et 8 ans. Les déterminants ainsi que les variables contrôles ont été mesurés alors que les enfants avaient 4 ou 5 ans. Résultats : Trois trajectoires d’activité physique supervisée et non supervisée ont été identifiées. Les résultats suggèrent que les trajectoires d’activité physique supervisée, représentant respectivement 10%, 55.3% et 34.7% de la population, sont relativement stables même si elles subissent une légère augmentation avec le temps. Des trois trajectoires d’activité physique non supervisée représentant respectivement 14.1%, 28.1% et 57.8% de la population, une augmente considérablement avec le temps alors iv que les deux autres sont stables. Ces deux séries de trajectoires ne sont pas associées significativement entre elles. L’éducation de la mère, l’entraide dans le quartier de résidence ainsi que la prosocialité des enfants déterminent les deux types d’activité physique. La suffisance de revenu et la pratique sportive de la mère sont associées seulement aux trajectoires d’activité physique supervisée. La famille intacte discrimine l’appartenance aux trajectoires d’activité physique non supervisée. Conclusion : Premièrement, la pratique de l’activité physique est relativement stable entre 5 et 8 ans. Deuxièmement, l’activité physique supervisée ainsi que l’activité physique non supervisée sont deux pratiques qui se développent différemment et qui possèdent leurs propres déterminants. Troisièmement, une approche écologique permet de mieux saisir la complexité de ces deux processus.

Détection de mouvement par modèle biologique de fusion de donnée inspiré de la rétine humaine

Ce mémoire s'intéresse à la détection de mouvement dans une séquence d'images acquises à l'aide d'une caméra fixe. Dans ce problème, la difficulté vient du fait que les mouvements récurrents ou non significatifs de la scène tels que les oscillations d'une branche, l'ombre d'un objet ou les remous d'une surface d'eau doivent être ignorés et classés comme appartenant aux régions statiques de la scène. La plupart des méthodes de détection de mouvement utilisées à ce jour reposent en fait sur le principe bas-niveau de la modélisation puis la soustraction de l'arrière-plan. Ces méthodes sont simples et rapides mais aussi limitées dans les cas où l'arrière-plan est complexe ou bruité (neige, pluie, ombres, etc.). Cette recherche consiste à proposer une technique d'amélioration de ces algorithmes dont l'idée principale est d'exploiter et mimer deux caractéristiques essentielles du système de vision humain. Pour assurer une vision nette de l’objet (qu’il soit fixe ou mobile) puis l'analyser et l'identifier, l'œil ne parcourt pas la scène de façon continue, mais opère par une série de ``balayages'' ou de saccades autour (des points caractéristiques) de l'objet en question. Pour chaque fixation pendant laquelle l'œil reste relativement immobile, l'image est projetée au niveau de la rétine puis interprétée en coordonnées log polaires dont le centre est l'endroit fixé par l'oeil. Les traitements bas-niveau de détection de mouvement doivent donc s'opérer sur cette image transformée qui est centrée pour un point (de vue) particulier de la scène. L'étape suivante (intégration trans-saccadique du Système Visuel Humain (SVH)) consiste ensuite à combiner ces détections de mouvement obtenues pour les différents centres de cette transformée pour fusionner les différentes interprétations visuelles obtenues selon ses différents points de vue.

Study on period search methods of variable stars: Application to ASAS and CRTS databases

Study on variable stars is an important topic of modern astrophysics. After the invention of powerful telescopes and high resolving powered CCD’s, the variable star data is accumulating in the order of peta-bytes. The huge amount of data need lot of automated methods as well as human experts. This thesis is devoted to the data analysis on variable star’s astronomical time series data and hence belong to the inter-disciplinary topic, Astrostatistics. For an observer on earth, stars that have a change in apparent brightness over time are called variable stars. The variation in brightness may be regular (periodic), quasi periodic (semi-periodic) or irregular manner (aperiodic) and are caused by various reasons. In some cases, the variation is due to some internal thermo-nuclear processes, which are generally known as intrinsic vari- ables and in some other cases, it is due to some external processes, like eclipse or rotation, which are known as extrinsic variables. Intrinsic variables can be further grouped into pulsating variables, eruptive variables and flare stars. Extrinsic variables are grouped into eclipsing binary stars and chromospheri- cal stars. Pulsating variables can again classified into Cepheid, RR Lyrae, RV Tauri, Delta Scuti, Mira etc. The eruptive or cataclysmic variables are novae, supernovae, etc., which rarely occurs and are not periodic phenomena. Most of the other variations are periodic in nature. Variable stars can be observed through many ways such as photometry, spectrophotometry and spectroscopy. The sequence of photometric observa- xiv tions on variable stars produces time series data, which contains time, magni- tude and error. The plot between variable star’s apparent magnitude and time are known as light curve. If the time series data is folded on a period, the plot between apparent magnitude and phase is known as phased light curve. The unique shape of phased light curve is a characteristic of each type of variable star. One way to identify the type of variable star and to classify them is by visually looking at the phased light curve by an expert. For last several years, automated algorithms are used to classify a group of variable stars, with the help of computers. Research on variable stars can be divided into different stages like observa- tion, data reduction, data analysis, modeling and classification. The modeling on variable stars helps to determine the short-term and long-term behaviour and to construct theoretical models (for eg:- Wilson-Devinney model for eclips- ing binaries) and to derive stellar properties like mass, radius, luminosity, tem- perature, internal and external structure, chemical composition and evolution. The classification requires the determination of the basic parameters like pe- riod, amplitude and phase and also some other derived parameters. Out of these, period is the most important parameter since the wrong periods can lead to sparse light curves and misleading information. Time series analysis is a method of applying mathematical and statistical tests to data, to quantify the variation, understand the nature of time-varying phenomena, to gain physical understanding of the system and to predict future behavior of the system. Astronomical time series usually suffer from unevenly spaced time instants, varying error conditions and possibility of big gaps. This is due to daily varying daylight and the weather conditions for ground based observations and observations from space may suffer from the impact of cosmic ray particles. Many large scale astronomical surveys such as MACHO, OGLE, EROS, xv ROTSE, PLANET, Hipparcos, MISAO, NSVS, ASAS, Pan-STARRS, Ke- pler,ESA, Gaia, LSST, CRTS provide variable star’s time series data, even though their primary intention is not variable star observation. Center for Astrostatistics, Pennsylvania State University is established to help the astro- nomical community with the aid of statistical tools for harvesting and analysing archival data. Most of these surveys releases the data to the public for further analysis. There exist many period search algorithms through astronomical time se- ries analysis, which can be classified into parametric (assume some underlying distribution for data) and non-parametric (do not assume any statistical model like Gaussian etc.,) methods. Many of the parametric methods are based on variations of discrete Fourier transforms like Generalised Lomb-Scargle peri- odogram (GLSP) by Zechmeister(2009), Significant Spectrum (SigSpec) by Reegen(2007) etc. Non-parametric methods include Phase Dispersion Minimi- sation (PDM) by Stellingwerf(1978) and Cubic spline method by Akerlof(1994) etc. Even though most of the methods can be brought under automation, any of the method stated above could not fully recover the true periods. The wrong detection of period can be due to several reasons such as power leakage to other frequencies which is due to finite total interval, finite sampling interval and finite amount of data. Another problem is aliasing, which is due to the influence of regular sampling. Also spurious periods appear due to long gaps and power flow to harmonic frequencies is an inherent problem of Fourier methods. Hence obtaining the exact period of variable star from it’s time series data is still a difficult problem, in case of huge databases, when subjected to automation. As Matthew Templeton, AAVSO, states “Variable star data analysis is not always straightforward; large-scale, automated analysis design is non-trivial”. Derekas et al. 2007, Deb et.al. 2010 states “The processing of xvi huge amount of data in these databases is quite challenging, even when looking at seemingly small issues such as period determination and classification”. It will be beneficial for the variable star astronomical community, if basic parameters, such as period, amplitude and phase are obtained more accurately, when huge time series databases are subjected to automation. In the present thesis work, the theories of four popular period search methods are studied, the strength and weakness of these methods are evaluated by applying it on two survey databases and finally a modified form of cubic spline method is intro- duced to confirm the exact period of variable star. For the classification of new variable stars discovered and entering them in the “General Catalogue of Vari- able Stars” or other databases like “Variable Star Index“, the characteristics of the variability has to be quantified in term of variable star parameters.

Prevalencia de los trastornos de voz ocupacionales en los docentes de dos instituciones educativas de nivel superior en Colombia en el año 2013-2014

Resumen: En la población docente, el uso de la voz como principal herramienta del trabajo por su esfuerzo constante y prolongado constituye el principal factor de riesgo para padecer trastornos de la voz, concomitante con otros factores que inciden en la presentación de estas patologías. Objetivo: Determinar la prevalencia de los trastornos en la voz y sus factores asociados de la población docente de dos instituciones de educación superior (IES) en Colombia y los factores de riesgo asociados. Materiales y métodos: Se realizó un estudio descriptivo de tipo transversal, en el que participaron 149 docentes de dos IES (instituciones de educación superior) de dos ciudades de Colombia. Se aplicó un cuestionario sustentado en el Modelo de Técnicas Foniátricas para Prevenir la Disfonía en Profesores de Secundaria en Portugal y validado por la escuela de Medicina y Ciencias de la Salud, programa de fonoaudiología de la Universidad del Rosario con el trabajo denominado “La Voz como herramienta de trabajo” para Colombia; el cual indagaba los factores riesgo asociados al uso de la voz en el quehacer docente. Se realizó un análisis descriptivo de las variables cualitativas con frecuencias absolutas y porcentajes, medidas de tendencia central, promedio y mediana, de dispersión y desviación estándar. La información recolectada fue analizada con el software SPSS.PASW 18. La correlación entre las variables dependientes y las independientes, se realizaron con el coeficiente no-paramétrico de Spearman y la asociación con la prueba Ji-cuadrado de Pearson o el test exacto de Fisher (valores esperados < 5). Se evaluaron las distribuciones de las variables ordinales de las variables de problemas de la voz con el género, con la prueba no-paramétrica exacta de Mann Whitney. Las pruebas estadísticas se evaluaron a un nivel de significancia del 5% (p<0.05). Resultados: El promedio de edad fue de 36±11.7 años, con un rango que varió entre 25 y 68 años. El género más frecuente fue el masculino con 57,0% de participación. Los datos presentados se dan como resultado de las respuestas a tres preguntas indicativas de los trastornos de voz, las cuales no fueron respondidas por la totalidad de los docentes, por esta razón los datos se presentan así t= número total de personas que respondieron la pregunta y n= número de personas que respondieron afirmativamente. La prevalencia de alteración de voz fue del 63,4% (t=82; n=52), de disminución en el volumen de su voz de 57,3% (t=122; n=70) y cansancio laríngeo en el 76,8% (t=121; n=93). El cansancio laríngeo fue significativamente mayor en los hombres que en las mujeres (p=0.026, Test Mann Whitney exacto a una cola), con algunos hábitos de voz como el realizar esfuerzos en el cuello al hablar (rs = 0,461; p< 0,001) y con la dificultad para inhalar o exhalar aire al hablar (rs = 0,368; p<0.001), con el ruido de fondo (rs =0,361, p<0,001), al permanecer en ambientes contaminados con polvo y humedad (rs=0,311; p=0.001), con sufrir de estrés representado por dolor cervical en espalda y hombros (rs=0,349, p<0.001), y con los problemas familiares (rs= 0,397; p<0.001). Al analizar con la disminución del volumen de voz durante la práctica docente, las correlaciones más significativas mostradas fue estadísticamente mayor entre los hombres que en las mujeres (p=0.006, Test Mann Whitney exacto a una cola), con el esfuerzo cervical para hablar (rs =:0,596, p=<,001), y con el presentar dificultad para inhalar/exhalar aire al usar la voz (rs =0,508, p<,001), con la exposición a ruido de fondo (rs=0,204, p=0,030), ambientes contaminados con polvo y humedad (rs:=305, p<,001), con el estrés (rs =0,316, p=0,001), con los problemas familiares (rs =0,560, p<,001) y en las mujeres con la alteración de la voz en presencia de la menstruación (rs =0,751, p=0,000). Por último, se correlacionó con las alteraciones de voz durante la exposición laboral en la que se mostró mayor correlación en las mujeres que en los hombres (p=0.001, Test Mann Whitney exacto a una cola). Se mostró correlación directa con el no realizar pausas al hablar (rs=0,337, p<0,001), con toser para aclarar la voz (rs =0,349, p=0,001), y con el uso de la voz grave (rs =0,975; p=,004) ,con la presencia de ruido de fondo mientras se dicta clase (rs =0,370, p=0,001) con el permanecer en ambientes contaminados con polvo y humedad (rs =0,253,p=,023), con los síntomas cervicales asociados al estrés (rs=0,323, p=0,003), e inversa con los cambios en tono y volumen de la voz en presencia de menstruación en las mujeres (rs=-0,414,p=,017). Conclusiones: Con los hallazgos encontrados en este estudio es importante reconocer que en las características demográficas, se encontró que el género masculino refirió mayor cantidad de problemas de voz. Para las características laborales la antigüedad ocupacional es factor principal que incide en los problemas de voz; en el análisis de las características demográfico– laborales en las variables analizadas, el grupo etario que reporto cansancio laríngeo se encontraba entre los 36 a 45 años de edad, y los que referían un tiempo de exposición ocupacional mayor a 6 y menor a 15 años. En cuanto a los factores ambientales se identificó que la asociación más significativa está relacionada con estar sometido a cambios bruscos de temperatura, estar expuesto a ruido de fondo durante su labor y finalmente a permanecer en ambientes contaminados. Por ultimo al analizar las alteraciones de la voz con las características personales de los docentes, se observó que el estrés y los problemas familiares inciden de forma significativa en estas patologías. Con estos resultados se recomienda establecer un sistema de vigilancia epidemiológica en las IES, donde se capacite integralmente a los docentes en cuanto a los factores de riesgo personales y de hábitos de voz, además de supervisar y adecuar los factores ambientales que inciden en la presentación de trastornos de voz para evitar la presentación de estas patologías.

Online bayesian inference in some time-frequency representations of non-stationary processes

The use of Bayesian inference in the inference of time-frequency representations has, thus far, been limited to offline analysis of signals, using a smoothing spline based model of the time-frequency plane. In this paper we introduce a new framework that allows the routine use of Bayesian inference for online estimation of the time-varying spectral density of a locally stationary Gaussian process. The core of our approach is the use of a likelihood inspired by a local Whittle approximation. This choice, along with the use of a recursive algorithm for non-parametric estimation of the local spectral density, permits the use of a particle filter for estimating the time-varying spectral density online. We provide demonstrations of the algorithm through tracking chirps and the analysis of musical data.

Linear and non-linear transmission of equity return volatility: evidence from the US, Japan and Australia

This paper models the transmission of shocks between the US, Japanese and Australian equity markets. Tests for the existence of linear and non-linear transmission of volatility across the markets are performed using parametric and non-parametric techniques. In particular the size and sign of return innovations are important factors in determining the degree of spillovers in volatility. It is found that a multivariate asymmetric GARCH formulation can explain almost all of the non-linear causality between markets. These results have important implications for the construction of models and forecasts of international equity returns.