Apply response adaptive randomization to group sequential with early stopping

Group sequential methods and response adaptive randomization (RAR) procedures have been applied in clinical trials due to economical and ethical considerations. Group sequential methods are able to reduce the average sample size by inducing early stopping, but patients are equally allocated with half of chance to inferior arm. RAR procedures incline to allocate more patients to better arm; however it requires more sample size to obtain a certain power. This study intended to combine these two procedures. We applied the Bayesian decision theory approach to define our group sequential stopping rules and evaluated the operating characteristics under RAR setting. The results showed that Bayesian decision theory method was able to preserve the type I error rate as well as achieve a favorable power; further by comparing with the error spending function method, we concluded that Bayesian decision theory approach was more effective on reducing average sample size.^

PaleoTools - extended software package for quantitative paleoenvironmental reconstructions

The Imbrie and Kipp transfer function method (IKM) and the modern analog technique (MAT) are accepted tools for quantitative paleoenvironmental reconstructions. However, no uncomplicated, flexible software has been available to apply these methods on modern computer devices. For this reason the software packages PaleoToolBox, MacTransfer, WinTransfer, MacMAT, and PanPlot have been developed. The PaleoToolBox package provides a flexible tool for the preprocessing of microfossil reference and downcore data as well as hydrographic reference parameters. It includes procedures to randomize the raw databases; to switch specific species in or out of the total species list; to establish individual ranking systems and their application on the reference and downcore databasessemi; and to convert the prepared databases into the file formats of IKM and MAT software for estimation of paleohydrographic parameters.

Optimal fits of diffusion constants from single-time data points of Brownian trajectories

Experimental methods based on single particle tracking (SPT) are being increasingly employed in the physical and biological sciences, where nanoscale objects are visualized with high temporal and spatial resolution. SPT can probe interactions between a particle and its environment but the price to be paid is the absence of ensemble averaging and a consequent lack of statistics. Here we address the benchmark question of how to accurately extract the diffusion constant of one single Brownian trajectory. We analyze a class of estimators based on weighted functionals of the square displacement. For a certain choice of the weight function these functionals provide the true ensemble averaged diffusion coefficient, with a precision that increases with the trajectory resolution.

Realización de un procedimiento para la medida del coeficiente de absorción sonora normal

El objetivo de este trabajo es la elaboración de un procedimiento para la medida del coeficiente de absorción sonora normal en un tubo de impedancia. Para ello se han estudiado los fundamentos básicos de la ecuación de ondas y sus soluciones. Se han considerado las soluciones pertinentes que describen el comportamiento de una onda sonora dentro de un tubo rígido. Se ha considerado también la teoría básica de funciones de transferencia. Estas teorías son claves a la hora de poder desarrollar el procedimiento de medida, ya que el coeficiente de absorción acústica se obtendrá con la ayuda de un tubo de impedancias que mide las funciones de transferencia entre dos posiciones de micrófonos incorporados en una de las caras del tubo. La utilización de esta técnica tiene como principal ventaja, la necesidad de poco espacio en un laboratorio y el empleo de muestras pequeñas de material. La implementación de los visto teóricamente a su aplicación práctica se ha hecho a través de un procedimiento de medida que sigue la Norma UNE-EN ISO 10534-2 (2002) “Determinación del coeficiente de absorción sonoro y la impedancia en tubos de impedancia Parte 2: método función de transferencia”. El valor del coeficiente de absorción se puede obtener a través de una instrumentación específica y un programa computador. Para poder validar los cálculos que realiza el programa utilizado, se ha realizado una batería de medidas del coeficiente de absorción a diferentes tipos de materiales acústicos, y los cálculos se han hecho por la vía del programa y por la vía de una hoja de cálculo. Como parte del procedimiento de medida se ha calculado la incertidumbre en las medidas. En definitiva se pretende contribuir con este trabajo a establecer un procedimiento de medida del comportamiento acústico de diversos materiales. SUMMARY. The aim of this work is the development of a procedure for measuring the sound absorption coefficient normal of an impedance tube. To this end we have studied the basics of the wave equation and its solutions. We have considered the relevant solutions that describe the behavior of a sound wave in a rigid tube. It has also considered the basic theory of transfer functions. These theories are key when we want to develop the measurement method, since the absorption coefficient is obtained with the aid of an impedance tube measuring transfer functions between two positions of microphones incorporated into one side of the tube. The use of this technique has the main advantage, the need of little space on a laboratory and use of small samples of material. The implementation of theoretically seen to his practical application has been made through a measurement procedure following the UNE-EN ISO 10534-2 (2002) "Determination of sound absorption coefficient and impedance in impedance tubes Part 2 : transfer function method ". The value of the absorption coefficient can be obtained through a specific instrumentation and computer software. In order to validate the calculations performed by the program used, there has been realized a series of measures of the absorption coefficient at different types of acoustical materials, and calculations were made by means of the program and by means of a spreadsheet. As part of the measurement procedure has been estimated uncertainty in the measurements. Ultimately it’s tried to contribute with this work to establish a procedure measuring the acoustic behavior of various materials.

On ergodic least-squares estimators of the generalized diffusion coefficient for fractional Brownian motion

We analyse a class of estimators of the generalized diffusion coefficient for fractional Brownian motion Bt of known Hurst index H, based on weighted functionals of the single time square displacement. We show that for a certain choice of the weight function these functionals possess an ergodic property and thus provide the true, ensemble-averaged, generalized diffusion coefficient to any necessary precision from a single trajectory data, but at expense of a progressively higher experimental resolution. Convergence is fastest around H ? 0.30, a value in the subdiffusive regime.

Estudio de la precisión en la determinación del coeficiente de absorción acústica en tubo de impedancia

El objetivo del presente Trabajo Fin de Máster es estudiar la precisión de los resultados obtenidos en la medición del coeficiente de absorción acústica en tubo de impedancia, según la norma UNE-EN ISO 10534-2 “Determinación del coeficiente de absorción acústica y de la impedancia acústica en tubos de impedancia. Parte 2: Método de la función de transferencia”. En primer lugar, se han estudiado los fundamentos teóricos relacionados con el método de ensayo. A continuación, se ha detallado dicho método y se ha aplicado a un caso práctico con la instrumentación disponible en el laboratorio de Acústica de la Escuela. En relación a la precisión del método se ha analizado si la preparación e instalación de la muestra son causas de imprecisión. Para ello, se han realizado varios ensayos con dos tipos de materiales acústicos, con el fin de estudiar la dispersión entre los resultados que produce tanto el corte de la muestra, realizado en el proceso de confección, como su colocación en el tubo de impedancia. Además, se ha estudiado si desviaciones en la medida de la temperatura y de la distancia entre los micrófonos influyen en los valores del coeficiente de absorción acústica medido y de su incertidumbre asociada. Puesto que el resultado de un ensayo únicamente se halla completo cuando está acompañado de una declaración acerca de la incertidumbre de dicho resultado, en el presente trabajo se ha aplicado a este método de ensayo un procedimiento para estimar la incertidumbre empleando el método de Monte Carlo. ABSTRACT The objective of this project is studying the precision of the measurements of sound absorption coefficient in impedance tube, according to standard UNE-EN ISO 10534-2 “Determination of sound absorption coefficient and impedance in impedance tubes. Part 2: Transfer-function method”. Firstly, theoretical basis related to the test method have been studied. Furthermore, this method has been defined and applied to a particular case with the instrumentation available in the Acoustics laboratory of the College. In relation to the precision of the method, the preparation and installation of the test sample have been analyzed as possible causes of imprecision. For this purpose, two types of acoustic materials have been tested in order to study the deviation between the results produced by the cutting of the test sample and the collocation in impedance tube. In addition, it has been studied if deviations in the measurement of the temperature and distance between microphones may influence the sound absorption coefficient measured and its associated uncertainty. The test result must be accompanied by a statement of the uncertainty of the result. For this reason, in this project a procedure for estimating uncertainty of the result of this test method has been applied using the Monte Carlo method.

Numerical simulation of group combustion of pulverized coal

A mathematical model for the group combustion of pulverized coal particles was developed in a previous work. It includes the Lagrangian description of the dehumidification, devolatilization and char gasification reactions of the coal particles in the homogenized gaseous environment resulting from the three fuels, CO, H2 and volatiles, supplied by the gasification of the particles and their simultaneous group combustion by the gas phase oxidation reactions, which are considered to be very fast. This model is complemented here with an analysis of the particle dynamics, determined principally by the effects of aerodynamic drag and gravity, and its dispersion based on a stochastic model. It is also extended to include two other simpler models for the gasification of the particles: the first one for particles small enough to extinguish the surrounding diffusion flames, and a second one for particles with small ash content when the porous shell of ashes remaining after gasification of the char, non structurally stable, is disrupted. As an example of the applicability of the models, they are used in the numerical simulation of an experiment of a non-swirling pulverized coal jet with a nearly stagnant air at ambient temperature, with an initial region of interaction with a small annular methane flame. Computational algorithms for solving the different stages undergone by a coal particle during its combustion are proposed. For the partial differential equations modeling the gas phase, a second order finite element method combined with a semi-Lagrangian characteristics method are used. The results obtained with the three versions of the model are compared among them and show how the first of the simpler models fits better the experimental results.

Piezoelectric sensing and non-parametric statistical signal processing for health monitoring of hysteretic dampers used in seismic-resistant structures

The paper proposes a new application of non-parametric statistical processing of signals recorded from vibration tests for damage detection and evaluation on I-section steel segments. The steel segments investigated constitute the energy dissipating part of a new type of hysteretic damper that is used for passive control of buildings and civil engineering structures subjected to earthquake-type dynamic loadings. Two I-section steel segments with different levels of damage were instrumented with piezoceramic sensors and subjected to controlled white noise random vibrations. The signals recorded during the tests were processed using two non-parametric methods (the power spectral density method and the frequency response function method) that had never previously been applied to hysteretic dampers. The appropriateness of these methods for quantifying the level of damage on the I-shape steel segments is validated experimentally. Based on the results of the random vibrations, the paper proposes a new index that predicts the level of damage and the proximity of failure of the hysteretic damper

Emissões de gases de efeito estufa e amônia oriundas da criação de frangos de corte em múltiplos reúsos da cama

Vários países têm buscado investigar as emissões de gases do efeito estufa (GEE) e amônia (NH3) na atividade animal para melhor compreensão da dinâmica e excesso desses gases na atmosfera. As informações disponíveis na literatura sobre as emissões de GEE e NH3 em aviários são variáveis e incertas devido à diversidade e condições particulares das instalações, bem como das inúmeras diferenças no sistema de criação e das complexas interações observadas nos dejetos dos animais. A caracterização das emissões do setor avícola normalmente é realizada por monitoramento aéreo das concentrações dos gases dentro das instalações de produção. No entanto, alguns métodos adotados são insuficientes devido às interferências de outros gases, razão por que as medições podem não refletir, com exatidão, as emissões reais. Diante dessa complexidade, nesta pesquisa buscou-se aplicar técnicas que apresentam menores interferências, bem como desenvolver um sistema de amostragem para medir diretamente as emissões de N2O, CH4 e NH3 dos dejetos de frangos de corte. No desenvolvimento do método, utilizou-se como referência o princípio da câmara estática fechada e a análise por cromatografia gasosa (CG), para estimar as emissões de GEE. Para quantificação direta das emissões de NH3, adaptou-se um método semiaberto estático, baseado na captura, em meio ácido, do NH3 volatilizado dos dejetos das aves. Adicionalmente, buscou-se monitorar as emissões diárias de NH3, CH4 e N2O dos dejetos dos frangos, considerando o típico manejo de reutilização da cama de frango. Foram propostos modelos empíricos para as predições das emissões de N2O, CH4 e NH3, em função do número de reutilizações da cama, da idade das aves e de propriedades físico-químicas da cama de frango. As emissões acumuladas por quatro ciclos de criação permitiram calcular perdas anuais de 0,14, 0,35, e 72,0 g de N2O, CH4 e NH3 ave-alojada-1 ano-1, respectivamente. Considerando o número de frangos de corte alojados em 2015, a atividade avícola emitiu cerca de 545,1 Gg CO2eq pelo manejo dos dejetos nos aviários, correspondente a 0,04 kg CO2eq por kg de carne. Reduções de 21, 40 e 78% foram observadas nas emissões anuais de N2O, CH4 e NH3, respectivamente, ao utilizar (seis ciclos) a cama somente em um ciclo de criação. Contudo, um balanço de N foi conduzido para contabilizar as entradas e saídas de N na produção de frangos de corte durante os quatro ciclos de criação avaliados. A principal entrada de N no sistema foi pela ração, como entrada secundária, o N via cama de frango, o qual aumentou consideravelmente a cada ciclo de reutilização. Considerando que esta pesquisa apresenta uma metodologia aplicável e inovadora para determinar os fluxos de GEE em galpões abertos no país, os dados serão úteis para o inventário anual brasileiro das emissões de GEE oriundas dos dejetos da avicultura de corte. Os resultados são úteis também para incentivar novas pesquisas que possam avançar no conhecimento de impactos e alternativas de mitigação de GEE na produção de frangos de corte e, adicionalmente, conferir sustentabilidade à produção de carne no Brasil

Genetic algorithms with applications in wireless communications

Genetic algorithms (GAs) are known to locate the global optimal solution provided sufficient population and/or generation is used. Practically, a near-optimal satisfactory result can be found by Gas with a limited number of generations. In wireless communications, the exhaustive searching approach is widely applied to many techniques, such as maximum likelihood decoding (MLD) and distance spectrum (DS) techniques. The complexity of the exhaustive searching approach in the MLD or the DS technique is exponential in the number of transmit antennas and the size of the signal constellation for the multiple-input multiple-output (MIMO) communication systems. If a large number of antennas and a large size of signal constellations, e.g. PSK and QAM, are employed in the MIMO systems, the exhaustive searching approach becomes impractical and time consuming. In this paper, the GAs are applied to the MLD and DS techniques to provide a near-optimal performance with a reduced computational complexity for the MIMO systems. Two different GA-based efficient searching approaches are proposed for the MLD and DS techniques, respectively. The first proposed approach is based on a GA with sharing function method, which is employed to locate the multiple solutions of the distance spectrum for the Space-time Trellis Coded Orthogonal Frequency Division Multiplexing (STTC-OFDM) systems. The second approach is the GA-based MLD that attempts to find the closest point to the transmitted signal. The proposed approach can return a satisfactory result with a good initial signal vector provided to the GA. Through simulation results, it is shown that the proposed GA-based efficient searching approaches can achieve near-optimal performance, but with a lower searching complexity comparing with the original MLD and DS techniques for the MIMO systems.

Erosion-corrosion of mild steel in hot caustic. Part I: NaOH solution

A novel apparatus, high-pressure/high-temperature nickel flow loop, was constructed to study the effect of the flow on the rate of erosion-corrosion of mild steel in hot caustic. It has been successfully used to measure the corrosion rate of 1020 steel in 2.75 M NaOH solution at a temperature of 160 degrees C and velocities of 0.32 and 2.5 m/s. In situ electrochemical methods were used to measure the corrosion rate such as the potentiodynamic sweep, the polarization resistance method, and electrochemical impedance spectroscopy (EIS). Also used were the weight-loss method and scanning electron microscopy (SEM). Eight electrodes/coupons were used to monitor the metal loss rate, four were placed at the low velocity section, while the other four were placed in the high velocity section. The first three coupons in each section were placed within the disturbed flow region, while the fourth was placed in a fully developed flow region. The corrosion rate of the coupons in the high velocity section was generally higher than that of the coupons in the low velocity section. One coupon in the disturbed flow region had a significantly higher corrosion rate than the others. (c) 2005 Elsevier Ltd. All rights reserved.

Erosion-corrosion of mild steel in hot caustic. Part II: The effect of acid cleaning

Corrosion rates of 1020 steel in 2.75 M NaOH solution at a temperature of 160 degrees C and velocities of 0.32 and 2.5 m/s were studied. The focus was on the effect of the acid cleaning which was performed by using strong, inhibited sulphuric acid in between the exposures to caustic. In situ electrochemical methods were used to measure the corrosion rate such as the potentiodynamic sweep and the polarization resistance method. Also used were the weight-loss method and scanning electron microscopy (SEM). Eight electrodes/coupons were used to monitor the metal loss rate, four were placed at the low velocity section, while the other four were placed in the high velocity section of a high temperature flow. The first three coupons in each section were placed within the disturbed flow region, while the fourth was placed in a fully developed flow region. During the exposure of mild steel to the inhibited acid, following the first caustic period, the corrosion rate increased significantly to between 3 and 10mm/y with a few electrodes experiencing as high as 50 mm/y. The second caustic period following the acidic period typically started with very high corrosion rates (20-80 mm/y). The length of this corrosion period was typically 2-3 h with a few exceptions when the high corrosion period lasted 7-10 h. Following the very high corrosion rates experienced at the beginning of the second caustic period, the corrosion rates were reduced sharply (as the corrosion potential increased) to nearly the same levels as those observed during the passive part of the first caustic period. (c) 2005 Elsevier Ltd. All rights reserved.

Sigmoidal cosine series on the interval

We construct a set of functions, say, psi([r])(n) composed of a cosine function and a sigmoidal transformation gamma(r) of order r > 0. The present functions are orthonormal with respect to a proper weight function on the interval [-1, 1]. It is proven that if a function f is continuous and piecewise smooth on [-1, 1] then its series expansion based on psi([r])(n) converges uniformly to f so long as the order of the sigmoidal transformation employed is 0 < r

Stochastic modelling and simulations for solute transport in porous media

A stochastic model for solute transport in aquifers is studied based on the concepts of stochastic velocity and stochastic diffusivity. By applying finite difference techniques to the spatial variables of the stochastic governing equation, a system of stiff stochastic ordinary differential equations is obtained. Both the semi-implicit Euler method and the balanced implicit method are used for solving this stochastic system. Based on the Karhunen-Loeve expansion, stochastic processes in time and space are calculated by means of a spatial correlation matrix. Four types of spatial correlation matrices are presented based on the hydraulic properties of physical parameters. Simulations with two types of correlation matrices are presented.

Genetic algorithm based distance spectrum technique for performance union bound of space-time trellis coded OFDM

This paper derives the performance union bound of space-time trellis codes in orthogonal frequency division multiplexing system (STTC-OFDM) over quasi-static frequency selective fading channels based on the distance spectrum technique. The distance spectrum is the enumeration of the codeword difference measures and their multiplicities by exhausted searching through all the possible error event paths. Exhaustive search approach can be used for low memory order STTC with small frame size. However with moderate memory order STTC and moderate frame size the computational cost of exhaustive search increases exponentially, and may become impractical for high memory order STTCs. This requires advanced computational techniques such as Genetic Algorithms (GAS). In this paper, a GA with sharing function method is used to locate the multiple solutions of the distance spectrum for high memory order STTCs. Simulation evaluates the performance union bound and the complexity comparison of non-GA aided and GA aided distance spectrum techniques. It shows that the union bound give a close performance measure at high signal-to-noise ratio (SNR). It also shows that GA sharing function method based distance spectrum technique requires much less computational time as compared with exhaustive search approach but with satisfactory accuracy.