Title Advances in statistics -- theory and applications : honoring the contributions of Barry C. Arnold in statistical science / Indranil Ghosh, N. Balakrishnan, Hon Keung Tony Ng, editors

Published Cham : Springer, 2021

Click on the following:
Springer eBooks

Copies

Description 1 online resource (443 pages) Series Emerging Topics in Statistics and Biostatistics Emerging topics in statistics and biostatistics. Contents Intro -- Life and Works of Barry C. Arnold -- Publications of Barry C. Arnold -- Books -- Books Edited -- Papers -- Preface -- Contents -- Contributors -- About the Editors -- Part I Ordered Data Analysis -- A Record-Based Transmuted Family of Distributions -- 1 Introduction -- 2 Transmuted Distributions -- 3 Record-Based Transmuted Distributions -- 4 Special Cases -- 4.1 Record-Based Transmuted Uniform Distribution -- 4.2 Record-Based Transmuted Exponential Distribution -- 4.3 Record-Based Transmuted Linear-Exponential Distribution -- 4.4 Record-Based Transmuted Weibull Distribution 4.5 Record-Based Transmuted Normal Distribution -- 4.6 Record-Based Transmuted Logistic Distribution -- 5 Dual Record-Based Transmuted Distributions -- 6 Concluding Remarks -- References -- Large-Sample Properties of Jackknife Estimators of the Variance of a Sample Quantile -- 1 Introduction -- 2 Preliminaries -- 2.1 Jackknife Estimators of Variance of an Estimator -- 2.2 Joint Limit Distribution of Spacings in a Neighborhood -- 3 Delete-d Jackknife Estimators of the Variance of Xk:n -- 3.1 The Central Case -- 3.2 Intermediate Case 4 Delete-d Jackknife Estimator of the Variance of the Sample Median -- 5 Concluding Remarks -- References -- Properties of System Lifetime in the Classical Model with I.I.D. Exponential Component Lifetimes -- 1 Introduction and Auxiliary Results -- 2 Density Function -- 3 Failure Rate -- 4 Mean Residual Lifetime -- References -- Part II Univariate Distribution Theory -- A Note on the Product of Independent Beta Random Variables -- 1 Introduction -- 2 Approximations Based on Mixtures -- 2.1 Mixtures of Generalized Gamma Distributions -- 2.2 A Single Beta or a Mixture of Two Beta Distributions 2.3 Mixtures of Gamma Distributions: Type I -- 2.4 Mixtures of Gamma Distributions: Type II -- 3 Simulation Study -- 4 Concluding Remarks -- References -- On the Distribution of the Product of Independent Beta Random Variables -- Applications -- 1 Introduction -- 2 Some Results Concerning Ratios of Gamma Functions -- 3 Main Results Concerning the Exact Distribution of the Product of Independent Beta Random Variables -- 3.1 The General Case -- 3.2 The Particular Case of All Different Sets of Pairs of Parameters -- 3.3 The Particular Case of All Equal Sets of Pairs of Parameters 3.4 The Distribution of the Product of Powers of Independent Beta Random Variables -- 4 The Practical Implementation of the Exact Distribution in Sect. 3 -- Another Look at the Exact Distribution on the Way to Near-Exact Distributions -- 5 Near-Exact Distributions for the Product of Independent Beta Random Variables -- 5.1 Near-Exact Distributions for Z in (2) -- 5.2 Near-Exact Distributions for the Product of Independent Beta Random Variables Raised to Different Powers -- 6 Some Evidence Better Analyzed from Numerical Studies -- 7 Applications Summary This edited collection brings together internationally recognized experts in a range of areas of statistical science to honor the contributions of the distinguished statistician, Barry C. Arnold. A pioneering scholar and professor of statistics at the University of California, Riverside, Dr. Arnold has made exceptional advancements in different areas of probability, statistics, and biostatistics, especially in the areas of distribution theory, order statistics, and statistical inference. As a tribute to his work, this book presents novel developments in the field, as well as practical applications and potential future directions in research and industry. It will be of interest to graduate students and researchers in probability, statistics, and biostatistics, as well as practitioners and technicians in the social sciences, economics, engineering, and medical sciences Notes 7.1 The Distribution of the Likelihood Ratio Test Statistic to Test Independence of Sets of Variables Print version record Subject Arnold, Barry C. SUBJECT Arnold, Barry C. fast Subject Mathematical statistics. Estadística matemática Mathematical statistics Genre/Form Festschriften Festschriften. Form Electronic book Author Ghosh, Indranil Balakrishnan, N Ng, Hon Keung Tony ISBN 9783030629007 3030629007 9783030629014 3030629015 9783030629021 3030629023

  Permalink