Time-series regression models to study the short-term effects of environmental factors on health

Time series regression models are especially suitable in epidemiology for evaluating short-term effects of time-varying exposures on health. The problem is that potential for confounding in time series regression is very high. Thus, it is important that trend and seasonality are properly accounted for. Our paper reviews the statistical models commonly used in time-series regression methods, specially allowing for serial correlation, make them potentially useful for selected epidemiological purposes. In particular, we discuss the use of time-series regression for counts using a wide range Generalised Linear Models as well as Generalised Additive Models. In addition, recently critical points in using statistical software for GAM were stressed, and reanalyses of time series data on air pollution and health were performed in order to update already published. Applications are offered through an example on the relationship between asthma emergency admissions and photochemical air pollutants

Multivariate ARIMA Compositional Time Series Analysis

A compositional time series is obtained when a compositional data vector is observed atdifferent points in time. Inherently, then, a compositional time series is a multivariatetime series with important constraints on the variables observed at any instance in time.Although this type of data frequently occurs in situations of real practical interest, atrawl through the statistical literature reveals that research in the field is very much in itsinfancy and that many theoretical and empirical issues still remain to be addressed. Anyappropriate statistical methodology for the analysis of compositional time series musttake into account the constraints which are not allowed for by the usual statisticaltechniques available for analysing multivariate time series. One general approach toanalyzing compositional time series consists in the application of an initial transform tobreak the positive and unit sum constraints, followed by the analysis of the transformedtime series using multivariate ARIMA models. In this paper we discuss the use of theadditive log-ratio, centred log-ratio and isometric log-ratio transforms. We also presentresults from an empirical study designed to explore how the selection of the initialtransform affects subsequent multivariate ARIMA modelling as well as the quality ofthe forecasts

Compositional Time Series: An Application

The composition of the labour force is an important economic factor for a country.Often the changes in proportions of different groups are of interest.I this paper we study a monthly compositional time series from the Swedish LabourForce Survey from 1994 to 2005. Three models are studied: the ILR-transformed series,the ILR-transformation of the compositional differenced series of order 1, and the ILRtransformationof the compositional differenced series of order 12. For each of thethree models a VAR-model is fitted based on the data 1994-2003. We predict the timeseries 15 steps ahead and calculate 95 % prediction regions. The predictions of thethree models are compared with actual values using MAD and MSE and the predictionregions are compared graphically in a ternary time series plot.We conclude that the first, and simplest, model possesses the best predictive power ofthe three models

Análisis de complementos y herramientas GNU/Linux en el campo educativo de las matemáticas y el cálculo numérico

El primer objetivo del TFC es la revisión de las características definitorias de calidad y eficiencia del software libre frente a soluciones privativas de uso amplio en ambientes educativos o de ingeniería.

Series enlazadas de empleo y VAB para España, 1955-2010 (RegDat_Nac versión 3.0)

En este trabajo se elaboran series de distintos agregados de empleo y de VAB a precios corrientes y constantes para el conjunto de España durante el período 1955-2010. Las series se construyen mediante el enlace de diversas bases de la CNE y de la Contabilidad Trimestral, introduciéndose también una corrección tentativa para reconciliar las series de empleo de la CNE con las de la EPA.

Series enlazadas de los principales agregados nacionales de la EPA,1964-2009 (RegDat_EPA_nac_v10)

En el presente trabajo se recopilan y extienden diversas series históricas de los principales agregados nacionales de la Encuesta de Población Activa (EPA) y se construyen nuevas series anuales homogéneas de las mismas variables para el período 1964-2009 corrigiendo algunas de las rupturas que persisten en las series históricas más recientes del INE.

Series enlazadas de empleo y VAB para España, 1955-2010 (RegDat_Nac versión 3.1)

En este trabajo se elaboran series homogéneas de distintos agregados de empleo y de VAB a precios corrientes y constantes para el conjunto de España durante el período 1955-2010. Las series se construyen mediante el enlace de diversas bases de la CNE y de la Contabilidad Trimestral, introduciéndose también una corrección tentativa para reconciliar las series de empleo de la CNE con las de la EPA.

Initial convergence of the perturbation series expansion for vibrational nonlinear optical properties

Initial convergence of the perturbation series expansion for vibrational nonlinear optical (NLO) properties was analyzed. The zero-point vibrational average (ZPVA) was obtained through first-order in mechanical plus electrical anharmonicity. Results indicated that higher-order terms in electrical and mechanical anharmonicity can make substantial contributions to the pure vibrational polarizibility of typical NLO molecules

Predictability of music descriptor time series and its application to cover song detection

Intuitively, music has both predictable and unpredictable components. In this work we assess this qualitative statement in a quantitative way using common time series models fitted to state-of-the-art music descriptors. These descriptors cover different musical facets and are extracted from a large collection of real audio recordings comprising a variety of musical genres. Our findings show that music descriptor time series exhibit a certain predictability not only for short time intervals, but also for mid-term and relatively long intervals. This fact is observed independently of the descriptor, musical facet and time series model we consider. Moreover, we show that our findings are not only of theoretical relevance but can also have practical impact. To this end we demonstrate that music predictability at relatively long time intervals can be exploited in a real-world application, namely the automatic identification of cover songs (i.e. different renditions or versions of the same musical piece). Importantly, this prediction strategy yields a parameter-free approach for cover song identification that is substantially faster, allows for reduced computational storage and still maintains highly competitive accuracies when compared to state-of-the-art systems.

Variación denominativa y biunivocidad en el lenguaje de las matemáticas

A veces se ha sugerido una relación entre la variación (sinonimia o polisemia) y el campo temático, y parece necesaria la tarea de verificar la presencia de la variación en diferentes campos del conocimiento. En este artículo si toma como area de trabajo uno de los campos considerado menos variado por excelencia. El lenguaje de las matemáticas se considera preciso, conciso y muy formalizado; se afirma que los términos matemáticos son biunívocos y que esta característica sirve para evitar las ambigüedades lingüísticas y para asegurar la eficacia comunicativa. Nuestros objectivos son analizar algunos términos matemáticos en textos especializados y probar que también estan sujetos a variación denominativa. Los ejemplos se analizan desde el punto de vista formal y semántico, y se indagan también las causas que provocan la variación.

Distribución factorial del ingreso en América Latina, 1950-2000: nuevas series a partir de las cuentas nacionales

Este artículo presenta nuevas series de distribución factorial del ingreso entre 1950 y 2000 para 14 países de América Latina a partir de un proceso de armonización de los datos de compensación de los trabajadores recogidos en las cuentas nacionales. Además, se presentan estimaciones de la remuneración a los trabajadores autónomos, discutiéndose las diferentes metodologías de estimación posibles, y las limitaciones de datos que afectan a las mismas. El análisis de estas estimaciones coherentes nos permite llegar a algunas conclusionespreliminares. En primer lugar, las estimaciones presentan variaciones importantes entre los países. Segundo, a nivel regional, muestran variaciones tanto coyunturales como de largo plazo que apoyanlos estudios que cuestionan la estabilidad de la distribución factorial del ingreso en el largo plazo.Tercero, nuestras estimaciones de la remuneración del factor trabajo, una vez corregidas para incluir una estimación del trabajo no asalariado, siguen siendo sensiblemente inferiores a las de lospaíses desarrollados, cuestionando así los estudios que señalan que dichas variaciones desaparecen al aplicárseles esta corrección.

La construcción del espacio dramático en la ficción televisiva norteamericana. Análisis del espacio vivencial en las series dramáticas de la HBO

El presente trabajo analiza la construcción del espacio vivencial en cinco series televisivas producidas por la cadena norteamericana HBO: Carnivàle, Deadwood, The Sopranos, The Wire y Treme. La investigación parte de la convicción de una posible reelaboración de la historia del espacio doméstico norteamericano a través de la puesta en escena y de la potencialidad simbólica del espacio serial. De este modo, el trabajo propone un recorrido hermenéutico en el que se analiza la evolución del espacio narrativo, su evolución morfológica en dependencia de las necesidades diegéticas de cada una de las obras analizadas.

Strategies for sequential prediction of stationary time series

We present simple procedures for the prediction of a real valued sequence. The algorithms are based on a combinationof several simple predictors. We show that if the sequence is a realization of a bounded stationary and ergodic random process then the average of squared errors converges, almost surely, to that of the optimum, given by the Bayes predictor. We offer an analog result for the prediction of stationary gaussian processes.

On a series of Goldbach and Euler

Theorem 1 of Euler s paper of 1737 'Variae Observationes Circa Series Infinitas', states the astonishing result that the series of all unit fractions whose denominators are perfect powers of integers minus unity has sum one. Euler attributes the Theorem to Goldbach. The proof is one of those examples of misuse of divergent series to obtain correct results so frequent during the seventeenth and eighteenth centuries. We examine this proof closelyand, with the help of some insight provided by a modern (and completely dierent) proof of the Goldbach-Euler Theorem, we present a rational reconstruction in terms which could be considered rigorous by modern Weierstrassian standards. At the same time, with a few ideas borrowed from nonstandard analysis we see how the same reconstruction can be also be considered rigorous by modern Robinsonian standards. This last approach, though, is completely in tune with Goldbach and Euler s proof. We hope to convince the reader then how, a few simple ideas from nonstandard analysis, vindicate Euler's work.

Improved nonparametric confidence intervals in time series regressions

Condence intervals in econometric time series regressions suffer fromnotorious coverage problems. This is especially true when the dependencein the data is noticeable and sample sizes are small to moderate, as isoften the case in empirical studies. This paper suggests using thestudentized block bootstrap and discusses practical issues, such as thechoice of the block size. A particular data-dependent method is proposedto automate the method. As a side note, it is pointed out that symmetricconfidence intervals are preferred over equal-tailed ones, since theyexhibit improved coverage accuracy. The improvements in small sampleperformance are supported by a simulation study.