Families of Exponentiated Generalized Distributions

Families of Exponentiated Generalized Distributions PDF Author: Ahmad Alzaghal
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 188

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Families of Exponentiated Generalized Distributions

Families of Exponentiated Generalized Distributions PDF Author: Ahmad Alzaghal
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 188

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Book Description


G Families of Probability Distributions

G Families of Probability Distributions PDF Author: Mir Masoom Ali
Publisher: CRC Press
ISBN: 1000860353
Category : Mathematics
Languages : en
Pages : 365

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Book Description
Statistical distributions are essential tools to model the characteristics of datasets, such as right or left skewness, bi-modality or multi-modality observed in different applied sciences, such as engineering, medicine, and finance. The well-known distributions like normal, Weibull, gamma and Lindley are extensively used because of their simple forms and identifiability properties. In the last decade, researchers have focused on the more complex and flexible distributions, referred to as Generalized or simply G families of probability distributions, to increase the modelling capability of these distributions by adding one or more shape parameters. The main aim of this edited book is to present new contributions by researchers in the field of G families of probability distributions. The book will help researchers to: Develop new univariate continuous and discrete G families of probability distributions. Develop new bivariate continuous and discrete G families of probability distributions. Derive beneficial mathematical properties such as ordinary and incomplete moments, moment generating functions, residual life and reversed residual life functions, order statistics, quantile spread ordering and entropies, and some bivariate and multivariate extensions of the new and existing models using a simple-type copula.

Statistical Methods for Survival Data Analysis

Statistical Methods for Survival Data Analysis PDF Author: Elisa T. Lee
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 504

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Book Description
Functions of survival time; Examples of survival data analysis; Nonparametric methods of estimating survival functions; Nonparametric methods for comparing survival distributions; Some well-known survival distributions and their applications; Graphical methods for sulvival distribution fitting and goodness-of-fit tests; Analytical estimation procedures for sulvival distributions; Parametric methods for comparing two survival distribution; Identification of prognostic factors related to survival time; Identification of risk factors related to dichotomous data; Planning and design of clinical trials (I); Planning and design of clinicL trials(II).

Beyond Beta

Beyond Beta PDF Author: Samuel Kotz
Publisher: World Scientific
ISBN: 9812561153
Category : Mathematics
Languages : en
Pages : 308

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Book Description
Statistical distributions are fundamental to Statistical Science and are a prime indispensable tool for its applications. This monograph is the first to examine an important but somewhat neglected field — univariate continuous distribution on a bounded domain, excluding the beta distribution. It provides an elementary but thorough discussion of “novel” contributions developed in recent years, such as the two-sided power, generalized trapezoidal and generalized Topp and Leone distributions, among others. It discusses a general framework for constructing two-sided distributions and some of its properties. It contains a comprehensive chapter on the triangular distribution as well as a chapter on earlier extensions not emphasized in existing literature. Special attention is given to estimation, in particular, non-standard maximum likelihood procedures. The applications are drawn mainly from the econometric and engineering domains.

Modeling Income Distributions and Lorenz Curves

Modeling Income Distributions and Lorenz Curves PDF Author: Duangkamon Chotikapanich
Publisher: Springer Science & Business Media
ISBN: 0387727965
Category : Business & Economics
Languages : en
Pages : 322

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Book Description
Jean-Jacques Rousseau wrote in the Preface to his famous Discourse on Inequality that “I consider the subject of the following discourse as one of the most interesting questions philosophy can propose, and unhappily for us, one of the most thorny that philosophers can have to solve. For how shall we know the source of inequality between men, if we do not begin by knowing mankind?” (Rousseau, 1754). This citation of Rousseau appears in an article in Spanish where Dagum (2001), in the memory of whom this book is published, also cites Socrates who said that the only useful knowledge is that which makes us better and Seneca who wrote that knowing what a straight line is, is not important if we do not know what rectitude is. These references are indeed a good illustration of Dagum’s vast knowledge, which was clearly not limited to the ?eld of Economics. For Camilo the ?rst part of Rousseau’s citation certainly justi?ed his interest in the ?eld of inequality which was at the centre of his scienti?c preoccupations. It should however be stressed that for Camilo the second part of the citation represented a “solid argument in favor of giving macroeconomic foundations to microeconomic behavior” (Dagum, 2001). More precisely, “individualism and methodological holism complete each other in contributing to the explanation of individual and social behavior” (Dagum, 2001).

Multivariate Exponential Families: A Concise Guide to Statistical Inference

Multivariate Exponential Families: A Concise Guide to Statistical Inference PDF Author: Stefan Bedbur
Publisher: Springer Nature
ISBN: 3030819000
Category : Mathematics
Languages : en
Pages : 147

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Book Description
This book provides a concise introduction to exponential families. Parametric families of probability distributions and their properties are extensively studied in the literature on statistical modeling and inference. Exponential families of distributions comprise density functions of a particular form, which enables general assertions and leads to nice features. With a focus on parameter estimation and hypotheses testing, the text introduces the reader to distributional and statistical properties of multivariate and multiparameter exponential families along with a variety of detailed examples. The material is widely self-contained and written in a mathematical setting. It may serve both as a concise, mathematically rigorous course on exponential families in a systematic structure and as an introduction to Mathematical Statistics restricted to the use of exponential families.

Exponentiated Distributions

Exponentiated Distributions PDF Author: Essam K. AL-Hussaini
Publisher: Springer
ISBN: 9462390797
Category : Mathematics
Languages : en
Pages : 149

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Book Description
This book contains entirely new results, not to be found elsewhere. Furthermore, additional results scattered elsewhere in the literature are clearly presented. Several well-known distributions such as Weibull distributions, exponentiated Burr type XII distributions and exponentiated exponential distributions and their properties are demonstrated. Analysis of real as well as well-simulated data are analyzed. A number of inferences based on a finite mixture of distributions are also presented.

Families of Frequency Distributions

Families of Frequency Distributions PDF Author: J. K. Ord
Publisher:
ISBN:
Category : Distribution (Probability theory).
Languages : en
Pages : 248

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Approximating distributions using the generalized exponential family

Approximating distributions using the generalized exponential family PDF Author: Jenny N. Lye
Publisher:
ISBN:
Category :
Languages : es
Pages : 31

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Book Description


Statistical Theory of Reliability and Life Testing

Statistical Theory of Reliability and Life Testing PDF Author: Richard E. Barlow
Publisher:
ISBN:
Category :
Languages : en
Pages : 290

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Book Description