Advances in Distribution Theory, Order Statistics, and Inference

From the reviews: "This volume, which is written in the honour of Professor Barry C. Arnold, reflects his diverse interests and recognizes his important contributions to different areas of statistics (e.g., order statistics, distribution theory, Bayesian inference ... and characterization problems). ... This book marks the main advances in these areas of research containing theory, methods, applications and extensive bibliographies. All these elements recommend this work as a significant scientific contribution and an important instrument for researchers and graduate students in the areas of statistics and applied mathematics." (Lucian Maticiuc, Iasi Polytechnic Magazine, Vol. 21 (1/4), March/December, 2009)

• Discrete Distributions and Applications.- Stochastic Comparisons of Bernoulli Sums and Binomial Random Variables.- Stopped Compound Poisson Process and Related Distributions.- Constructions of Discrete Bivariate Distributions.- Continuous Distributions and Applications.- The Normal-Laplace Distribution and Its Relatives.- Some Observations on a Simple Means of Generating Skew Distributions.- Bivariate Distributions Based on the Generalized Three-Parameter Beta Distribution.- A Kotz-Type Distribution for Multivariate Statistical Inference.- Range of Correlation Matrices for Dependent Random Variables with Given Marginal Distributions.- Multifractional Probabilistic Laws.- Order Statistics and Applications.- Topics in the History of Order Statistics.- Order Statistics from Independent Exponential Random Variables and the Sum of the Top Order Statistics.- Fisher Information and Tukey’s Linear Sensitivity Measure Based on Ordered Ranked Set Samples.- Information Measures for Pareto Distributions and Order Statistics.- Confidence Coefficients of Interpolated Nonparametric Sign Intervals for Medians Under No or Weak Shape Assumptions.- Small Sample Asymptotics for Higher-Order Spacings.- Best Bounds on Expectations of L-Statistics from Bounded Samples.- Reliability and Applications.- The Failure Rates of Mixtures.- Characterizations of the Relative Behavior of Two Systems via Properties of Their Signature Vectors.- Systems with Exchangeable Components and Gumbel Exponential Distribution.- Estimating the Mean of Exponential Distribution from Step-Stress Life Test Data.- Random Stress-Dependent Strength Models Through Bivariate Exponential Conditionals Distributions.- Inference.- Some New Methods for Local Sensitivity Analysis in Statistics.- t-Tests with Models Close to theNormal Distribution.- Computational Aspect of the Chi-Square Goodness-of-Fit Test Application.- An Objective Bayesian Procedure for Variable Selection in Regression.- On Bayesian and Decision-Theoretic Approaches to Statistical Prediction.- Phi-Divergence-Type Test for Positive Dependence Alternatives in 2×k Contingency Tables.- Dimension Reduction in Multivariate Time Series.- The Hat Problem and Some Variations.