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Decreasing in transposition property of overlapping sums, and applications

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Publication:1149215
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DOI10.1016/0047-259X(81)90131-7zbMath0453.62084MaRDI QIDQ1149215

Frank Proschan, Jayaram Sethuraman, Myles Hollander

Publication date: 1981

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)


zbMATH Keywords

reliabilityshock modelsecologycompound multivariate Poisson distributionfrequency functionsfunctions decreasing in transposition


Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Reliability and life testing (62N05)


Related Items

Inequalities for probability contents of convex sets via geometric average ⋮ ISO\(^*\) property of two-parameter compound Poisson distributions with applications



Cites Work

  • Unnamed Item
  • Majorization in multivariate distributions
  • Functions decreasing in transposition and their applications in ranking problems
  • On Infinitely Divisible Random Vectors
  • Polya Type Distributions of Convolutions
  • Bivariate generalizations of Neyman's Type A distribution
  • A Multivariate Exponential Distribution
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