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
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.
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.
PrefaceBarry C. Arnold: Career and AccomplishmentsPublicationsContributorsList of TablesList of FiguresPart I: Discrete Distributions and ApplicationsP.J. Boland and H. Singh: Stochastic Comparisons of Bernoulli Sums and Binomial Random VariablesC. Lefèvre: Stopped Compound Poisson Process and Related DistributionsC.D. Lai: Constructions of Discrete Bvariate DstributionsPart II: Continuous Distributions and ApplicationsW.J. Reed: The Normal–Laplace Distribution and Its RelativesA. Pewsey: Some Observations on a Simple Means of Generating Skew DistributionsJ.M. Sarabia and E. Castillo: Bivariate Distributions Based on the Generalized Three-Parameter Beta DistributionD.N. Naik and K. Plungpongpun: A Kotz-Type Distribution for Multivariate Statistical InferenceH. Joe: Range of Correlation Matrices for Dependent Random Variables with Given Marginal DistributionsM.D. Ruiz-Medina and J.M. Angulo: Multifractional Probabilistic LawsPart III: Order Statistics and ApplicationsH.A. David: Topics in the History of Order StatisticsH.N. Nagaraja: Order Statistics from Independent Exponential Random Variables and the Sum of the Top Order StatisticsN. Balakrishnan and T. Li: Fisher Information and Tukey's Linear Sensitivity Measure Based on Ordered Ranked Set SamplesM. Asadi, N. Ebrahimi, and G.G. Hamedani, and E.S. Soofi: Information Measures for Pareto Distributions and Order StatisticsO. Guilbaud: Confidence Coefficients of Interpolated Nonparametric Sign Intervals for Medians Under No or Weak Shape AssumptionsR. Gatto and S.R. Jammalamadaka: Small Sample Asymptotics for Higher-Order SpacingsT. Rychlik: Best Bounds on Expectations of L-Statistics from Bounded SamplesPart IV: Reliability and ApplicationsH.W. Block: The Failure Rates of MixturesH. Block, M.R. Dugas, and F.J. Samaniego: Characterizations of the Relative Behavior of Two Systems via Properties of Their Signature VectorsJ. Navarro, J.M. Ruiz, and C.J. Sandoval: Systems with Exchangeable Components and Gumbel Exponential DistributionZ. Chen, J. Mi, and Y.Y. Zhou: Estimating the Mean of Exponential Distribution from Step-Stress Life Test DataA. SenGupta: Random Stress-Dependent Strength Models Through Exponential Conditionals DistributionsPart V: InferenceE. Castillo, C. Castillo, A.S. Haid, and J.M. Sarabia: Some New Methods for Local Sensitivity Analysis in StatisticsA. García-Pérez: t-Tests with Models Close to the Normal DistributionM. Divinsky: Computational Aspect of the Chi-Square Goodness-of-Fit Test ApplicationsF.J. Girón, E. Moreno, and M.L. Martínez: An Objective Bayesian Procedure for Variable Selection in RegressionT.K. Nayak and A. El-Baz: On Bayesian and Decision-Theoretic Approaches to Statistical PredictionL. Pardo and M.L. Menéndez: Phi-Divergence-Type Test for Positive Dependence Alternatives in 2 x k Contingency TablesD. Pena and P. Poncela: Dimension Reduction in Multivariate Time SeriesW. Guo, S. Kasala, M.B. Rao, and B. Tucker: The Hat Problem and Some VariationsIndex
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.
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)
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.
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.
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)
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.
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.
Inhaltsverzeichnis
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. Lefèvre: 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. García-Pérez: t-Tests with Models Close to the Normal Distribution
M. Divinsky: Computational Aspect of the Chi-Square Goodness-of-Fit Test Applications
F.J. Girón, E. Moreno, and M.L. Martínez: 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. Menéndez: 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
Klappentext
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.
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.
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.
