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Advances in Distribution Theory, Order Statistics, and Inference de N. Balakrishnan

Advances in Distribution Theory, Order Statistics, and Inference: Statistics for Industry and Technology

Editat de N. Balakrishnan, Enrique Castillo, Jose-Maria Sarabia Alegria
en Limba Engleză Hardback – 17 mai 2006
Barry Arnold has made fundamental contributions to many different areas of statistics, including distribution theory, Bayesian inference, multivariate analysis, bounds and orderings, and characterization problems. Organized to honor Arnold’s significant contributions to the field, this volume is an outgrowth of the "International Conference on Distribution Theory, Order Statistics, and Inference," held at the University of Cantabria, Santander, Spain.
Several 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.
This comprehensive reference work will serve the statistical and applied mathematics communities, as well as practitioners, researchers, and graduate students in applied probability and statistics, reliability engineering, and biostatistics.
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Specificații

ISBN-13: 9780817643614
ISBN-10: 0817643613
Pagini: 483
Ilustrații: LVI, 484 p.
Dimensiuni: 178 x 254 x 32 mm
Greutate: 1.09 kg
Ediția:2006
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Statistics for Industry and Technology

Locul publicării:Boston, MA, United States

Public țintă

Professional/practitioner

Cuprins

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.

Recenzii

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)

Textul de pe ultima copertă

Barry Arnold has made fundamental contributions to many different areas of statistics, including distribution theory, Bayesian inference, multivariate analysis, bounds and orderings, and characterization problems. Organized to honor Arnold’s significant contributions to the field, this volume is an outgrowth of the "International Conference on Distribution Theory, Order Statistics, and Inference," held at the University of Cantabria, Santander, Spain.
Several 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. The volume is classified into the following five parts, according to the focus of the articles:
 
* Discrete distributions and applications
 
* Continuous distributions and applications
 
* Order statistics and applications
 
* Reliability and applications
 
* Inference
 
This comprehensive reference work will serve the statistical and applied mathematics communities, as well as practitioners, researchers, and graduate students in applied probability and statistics, reliability engineering, and biostatistics.

Caracteristici

Several distinguished and active researchers are contributors to the volume Recent developments in statistical distribution theory, order statistics, and inferential methods are presented Applications to survival analysis, reliability, quality control, and the environment are highlighted Good comprehensive reference work for practitioners, researchers and graduate students in applied probability and statistics, reliability engineering, and biostatistics