Advances in Distribution Theory, Order Statistics, and Inference

Editors:

ISBN: 978-0-8176-4361-4 (Print) 978-0-8176-4487-1 (Online)

Table of contents (29 chapters)

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  1. Discrete Distributions and Applications

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-11

      Stochastic Comparisons of Bernoulli Sums and Binomial Random Variables

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      Book Chapter

      Pages 13-27

      Stopped Compound Poisson Process and Related Distributions

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      Book Chapter

      Pages 29-58

      Constructions of Discrete Bivariate Distributions

  2. Continuous Distributions and Applications

    1. Front Matter

      Pages 59-59

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      Book Chapter

      Pages 61-74

      The Normal-Laplace Distribution and Its Relatives

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      Book Chapter

      Pages 75-84

      Some Observations on a Simple Means of Generating Skew Distributions

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      Book Chapter

      Pages 85-110

      Bivariate Distributions Based on the Generalized Three-Parameter Beta Distribution

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      Book Chapter

      Pages 111-124

      A Kotz-Type Distribution for Multivariate Statistical Inference

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      Book Chapter

      Pages 125-142

      Range of Correlation Matrices for Dependent Random Variables with Given Marginal Distributions

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      Book Chapter

      Pages 143-153

      Multifractional Probabilistic Laws

  3. Order Statistics and Applications

    1. Front Matter

      Pages 155-155

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      Book Chapter

      Pages 157-172

      Topics in the History of Order Statistics

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      Book Chapter

      Pages 173-185

      Order Statistics from Independent Exponential Random Variables and the Sum of the Top Order Statistics

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      Book Chapter

      Pages 187-206

      Fisher Information and Tukey’s Linear Sensitivity Measure Based on Ordered Ranked Set Samples

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      Book Chapter

      Pages 207-223

      Information Measures for Pareto Distributions and Order Statistics

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      Book Chapter

      Pages 225-237

      Confidence Coefficients of Interpolated Nonparametric Sign Intervals for Medians Under No or Weak Shape Assumptions

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      Book Chapter

      Pages 239-252

      Small Sample Asymptotics for Higher-Order Spacings

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      Book Chapter

      Pages 253-263

      Best Bounds on Expectations of L-Statistics from Bounded Samples

  4. Reliability and Applications

    1. Front Matter

      Pages 265-265

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      Book Chapter

      Pages 267-277

      The Failure Rates of Mixtures

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      Book Chapter

      Pages 279-289

      Characterizations of the Relative Behavior of Two Systems via Properties of Their Signature Vectors

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      Book Chapter

      Pages 291-306

      Systems with Exchangeable Components and Gumbel Exponential Distribution

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      Book Chapter

      Pages 307-325

      Estimating the Mean of Exponential Distribution from Step-Stress Life Test Data

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