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 RecordBased Transmuted Family of Distributions  1 Introduction  2 Transmuted Distributions  3 RecordBased Transmuted Distributions  4 Special Cases  4.1 RecordBased Transmuted Uniform Distribution  4.2 RecordBased Transmuted Exponential Distribution  4.3 RecordBased Transmuted LinearExponential Distribution  4.4 RecordBased Transmuted Weibull Distribution 

4.5 RecordBased Transmuted Normal Distribution  4.6 RecordBased Transmuted Logistic Distribution  5 Dual RecordBased Transmuted Distributions  6 Concluding Remarks  References  LargeSample 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 Deleted Jackknife Estimators of the Variance of Xk:n  3.1 The Central Case  3.2 Intermediate Case 

4 Deleted 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 NearExact Distributions  5 NearExact Distributions for the Product of Independent Beta Random Variables  5.1 NearExact Distributions for Z in (2)  5.2 NearExact 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. http://id.loc.gov/authorities/names/n78019987


Arnold, Barry C. fast (OCoLC)fst01437207 
Subject 
Mathematical statistics.


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 
