Some generalizations of Bernoulli and Polya-Eggenberger contagion models

DOI10.1007/BF02925473zbMath0744.62023MaRDI QIDQ3971441

Samuel Kotz, Norman L. Johnson

Publication date: 25 June 1992

Published in: Statistical Papers (Search for Journal in Brave)

zbMATH Keywords

order statisticsdistribution-free testsdegree of dependencetolerance limitsgeneralization of the Bernoulli modelgeneralizations of Polya-Eggenberger contagion modelsplacement statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (11)

Random threshold models based on multivariate observations. ⋮ Further comments on Matveychuk and Petunin's generalized Bernoulli model, and nonparametric tests of homogeneity ⋮ Distributions of exceedances of generalized order statistics ⋮ On a new sample rank of an order statistics and its concomitant. ⋮ Joint distribution of new sample rank of bivariate order statistics ⋮ Robust inference with GMM estimators ⋮ On distributions of exceedances associated with order statistics and record values for arbitrary distributions ⋮ On Distributions of Exceedances Based on Generalized Order Statistics ⋮ Waiting times of exceedances in random threshold models ⋮ A Poisson limit law for a generalized birthday problem ⋮ On exceedances of record and order statistics

Cites Work

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• On the Distribution of the Number of Exceedances
• Polya-Eggenberger Distribution: Parameter Estimation and Hypothesis Tests
• The exact power of two-sample location tests based on exceedance statistics against shift alternatives
• Some Applications of Sample Analogues to the Probability Integral Transformation and a Coverage Property
• The Distribution of the Number of Exceedances

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