Form-invariant bivariate weighted models

In this paper the class of continuous bivariate distributions that has form-invariant weighted distribution with weight function w(x1, x2) ¼ xa1 1 xa2 2 is identified. It is shown that the class includes some well known bivariate models. Bayesian inference on the parameters of the class is considered and it is shown that there exist natural conjugate priors for the parameters

Characterizations of bivariate models using dynamic Kullback–Leibler discrimination measures

In this paper, the residual Kullback–Leibler discrimination information measure is extended to conditionally specified models. The extension is used to characterize some bivariate distributions. These distributions are also characterized in terms of proportional hazard rate models and weighted distributions. Moreover, we also obtain some bounds for this dynamic discrimination function by using the likelihood ratio order and some preceding results.

Bivariate distributions with weighted marginals and reliablity modelling

In this paper, a family of bivariate distributions whose marginals are weighted distributions in the original variables is studied. The relationship between the failure rates of the derived and original models are obtained. These relationships are used to provide some characterizations of specific bivariate models

Characterizations of Bivariate Models Using Some Dynamic Conditional Information Divergence Measures

In this article, we study some relevant information divergence measures viz. Renyi divergence and Kerridge’s inaccuracy measures. These measures are extended to conditionally specifiedmodels and they are used to characterize some bivariate distributions using the concepts of weighted and proportional hazard rate models. Moreover, some bounds are obtained for these measures using the likelihood ratio order

Compositional analysis of bivariate discrete probabilities

A joint distribution of two discrete random variables with finite support can be displayed as a two way table of probabilities adding to one. Assume that this table has n rows and m columns and all probabilities are non-null. This kind of table can be seen as an element in the simplex of n · m parts. In this context, the marginals are identified as compositional amalgams, conditionals (rows or columns) as subcompositions. Also, simplicial perturbation appears as Bayes theorem. However, the Euclidean elements of the Aitchison geometry of the simplex can also be translated into the table of probabilities: subspaces, orthogonal projections, distances. Two important questions are addressed: a) given a table of probabilities, which is the nearest independent table to the initial one? b) which is the largest orthogonal projection of a row onto a column? or, equivalently, which is the information in a row explained by a column, thus explaining the interaction? To answer these questions three orthogonal decompositions are presented: (1) by columns and a row-wise geometric marginal, (2) by rows and a columnwise geometric marginal, (3) by independent two-way tables and fully dependent tables representing row-column interaction. An important result is that the nearest independent table is the product of the two (row and column)-wise geometric marginal tables. A corollary is that, in an independent table, the geometric marginals conform with the traditional (arithmetic) marginals. These decompositions can be compared with standard log-linear models. Key words: balance, compositional data, simplex, Aitchison geometry, composition, orthonormal basis, arithmetic and geometric marginals, amalgam, dependence measure, contingency table

Análisis de polimorfismos genéticos del receptor beta-2 adrenérgico en pacientes pediátricos asmáticos y controles sanos en una muestra de la ciudad de Bogotá

El asma bronquial es una enfermedad inflamatoria crónica, se asocia a hiperrespuesta de la vía aérea, la cual lleva a episodios recurrentes de sibilancias, tos y disnea. La entidad se ha correlacionado con una gran variedad de genes involucrados en su fisiopatología, dentro de los cuales se encuentran genes localizados en el cromosoma 5 (5q23-31), como el del Receptor ß2 Adrenérgico (RB2A). En el presente trabajo se realizó una estimación de las frecuencias de los polimorfismos Arg16Gly, Gln27Glu y Thr164Ile de este receptor, y se estudió la relación existente entre los diferentes polimorfismos y asma, así como su relación con respecto a la severidad de la enfermedad, finalmente se estimó la relación de los haplotipos conformados por estos tres polimorfismos y su asociación con la enfermedad y severidad del fenotipo asmático.

Análisis de polimorfismos del receptor Beta 2 adrenérgico en pacientes colombianos afectados por fibrosis quística

El gen ADRB2 y sus polimorfismos se han asociado al cuadro clínico de los pacientes con Fibrosis Quística. En nuestra población existe asociación de los haplotipos G16E27I164 y R16Q27I164 y la enfermedad, así como la presencia de Pólipos y genotipo E27E y el haplotipo R16E27T164.

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Extension Mathematics Beta.

Este libro cumple las expectativas de los alumnos de matemáticas en relación a los exámenes de secundaria (KS3). Beta está dirigido a estudiantes en los años 8 y 9. Los temas del libro son: los triángulos Isósceles, simplificando fracciones, calculando ángulos, ecuaciones, tipos de triángulos, suma y resta de fracciones, números primos, área y problemas de perímetro con rectángulos, líneas paralelas, multiplicación: integrales y decimales, fracciones y decimales, calculando con medidas, área de triángulos y paralelogramos, simplificando fracciones, números negativos, división: fracciones y decimales.

Interactions of alpha and beta synuclein proteins in auditory functioning

Alpha-synuclein is found in synaptic terminals at the base of both inner and outer hair cells, while the beta isoform is prominently localized to spiral ganglion neuron cell bodies. The present study assessed the role of beta-synuclein in auditory function, and potential interactions between isoforms.

Down-regulation of the CSLF6 gene results in decreased (1,3;1,4)-beta-D-glucan in endosperm of wheat

(1,3;1,4)-beta-d-Glucan (beta-glucan) accounts for 20% of the total cell walls in the starchy endosperm of wheat (Triticum aestivum) and is an important source of dietary fiber for human nutrition with potential health benefits. Bioinformatic and array analyses of gene expression profiles in developing caryopses identified the CELLULOSE SYNTHASE-LIKE F6 (CSLF6) gene as encoding a putative beta-glucan synthase. RNA interference constructs were therefore designed to down-regulate CSLF6 gene expression and expressed in transgenic wheat under the control of a starchy endosperm-specific HMW subunit gene promoter. Analysis of wholemeal flours using an enzyme-based kit and by high-performance anion-exchange chromatography after digestion with lichenase showed decreases in total beta-glucan of between 30% and 52% and between 36% and 53%, respectively, in five transgenic lines compared to three control lines. The content of water-extractable beta-glucan was also reduced by about 50% in the transgenic lines, and the M(r) distribution of the fraction was decreased from an average of 79 to 85 x 10(4) g/mol in the controls and 36 to 57 x 10(4) g/mol in the transgenics. Immunolocalization of beta-glucan in semithin sections of mature and developing grains confirmed that the impact of the transgene was confined to the starchy endosperm with little or no effect on the aleurone or outer layers of the grain. The results confirm that the CSLF6 gene of wheat encodes a beta-glucan synthase and indicate that transgenic manipulation can be used to enhance the health benefits of wheat products.