Advances in distribution theory, order statistics, and inference
著者
書誌事項
Advances in distribution theory, order statistics, and inference
(Statistics for industry and technology)
Birkhäuser, c2006
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The purpose of this book is to honor the fundamental contributions to many different areas of statistics made by Barry Arnold. Distinguished and active researchers highlight some of the recent developments in statistical distribution theory, order statistics and their properties, as well as inferential methods associated with them. Applications to survival analysis, reliability, quality control, and environmental problems are emphasized.
目次
Preface
Barry C. Arnold: Career and Accomplishments
Publications
Contributors
List of Tables
List of Figures
Part I: Discrete Distributions and Applications
P.J. Boland and H. Singh: Stochastic Comparisons of Bernoulli Sums and Binomial Random Variables
C. Lefevre: Stopped Compound Poisson Process and Related Distributions
C.D. Lai: Constructions of Discrete Bvariate Dstributions
Part II: Continuous Distributions and Applications
W.J. Reed: The Normal-Laplace Distribution and Its Relatives
A. Pewsey: Some Observations on a Simple Means of Generating Skew Distributions
J.M. Sarabia and E. Castillo: Bivariate Distributions Based on the Generalized Three-Parameter Beta Distribution
D.N. Naik and K. Plungpongpun: A Kotz-Type Distribution for Multivariate Statistical Inference
H. Joe: Range of Correlation Matrices for Dependent Random Variables with Given Marginal Distributions
M.D. Ruiz-Medina and J.M. Angulo: Multifractional Probabilistic Laws
Part III: Order Statistics and Applications
H.A. David: Topics in the History of Order Statistics
H.N. Nagaraja: Order Statistics from Independent Exponential Random Variables and the Sum of the Top Order Statistics
N. Balakrishnan and T. Li: Fisher Information and Tukey's Linear Sensitivity Measure Based on Ordered Ranked Set Samples
M. Asadi, N. Ebrahimi, and G.G. Hamedani, and E.S. Soofi: Information Measures for Pareto Distributions and Order Statistics
O. Guilbaud: Confidence Coefficients of Interpolated Nonparametric Sign Intervals for Medians Under No or Weak Shape Assumptions
R. Gatto and S.R. Jammalamadaka: Small Sample Asymptotics for Higher-Order Spacings
T. Rychlik: Best Bounds on Expectations of L-Statistics from Bounded Samples
Part IV: Reliability and Applications
H.W. Block: The Failure Rates of Mixtures
H. Block, M.R. Dugas, and F.J. Samaniego: Characterizations of the Relative Behavior of Two Systems via Properties of Their Signature Vectors
J. Navarro, J.M. Ruiz, and C.J. Sandoval: Systems with Exchangeable Components and Gumbel Exponential Distribution
Z. Chen, J. Mi, and Y.Y. Zhou: Estimating the Mean of Exponential Distribution from Step-Stress Life Test Data
A. SenGupta: Random Stress-Dependent Strength Models Through Exponential Conditionals Distributions
Part V: Inference
E. Castillo, C. Castillo, A.S. Haid, and J.M. Sarabia: Some New Methods for Local Sensitivity Analysis in Statistics
A. Garcia-Perez: t-Tests with Models Close to the Normal Distribution
M. Divinsky: Computational Aspect of the Chi-Square Goodness-of-Fit Test Applications
F.J. Giron, E. Moreno, and M.L. Martinez: An Objective Bayesian Procedure for Variable Selection in Regression
T.K. Nayak and A. El-Baz: On Bayesian and Decision-Theoretic Approaches to Statistical Prediction
L. Pardo and M.L. Menendez: Phi-Divergence-Type Test for Positive Dependence Alternatives in 2 x k Contingency Tables
D. Pena and P. Poncela: Dimension Reduction in Multivariate Time Series
W. Guo, S. Kasala, M.B. Rao, and B. Tucker: The Hat Problem and Some Variations
Index
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