Stochastic comparisons of Poisson and binomial random variables with their mixtures.

DOI10.1016/j.spl.2003.07.002zbMath1116.60314OpenAlexW2080921145WikidataQ23918835 ScholiaQ23918835MaRDI QIDQ1423050

Harshinder Singh, E. James Harner, Neeraj Misra

Publication date: 14 February 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2003.07.002

zbMATH Keywords

binomial distributionvariable orderingLikelihood ratio orderingConvex orderingMixedExpectation orderingMixed Poisson distributionSimple stochastic orderingUniformly more

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of statistics to environmental and related topics (62P12) Sampling theory, sample surveys (62D05) Characterization and structure theory of statistical distributions (62E10)

Related Items (14)

On relative log-concavity and stochastic comparisons ⋮ On comparisons of population and subpopulations in frailty models ⋮ A stochastic combustion model with thresholds on trees ⋮ Critical drift estimates for the frog model on trees ⋮ Stochastic comparisons of mixtures of parametric families in stochastic epidemics ⋮ Signed binomial approximation of binomial mixtures via differential calculus for linear opera\-tors ⋮ A Unified Approach to Ordering Comparison of GPS Distributions with their Mixtures ⋮ Infection spread for the frog model on trees ⋮ Stochastic Orderings of Integer Valued Random Variables ⋮ Ordering Comparison of Logarithmic Series Random Variables with their Mixtures ⋮ Ordering comparison of negative binomial random variables with their mixtures ⋮ Stochastic Ordering of Exponential Family Distributions and Their Mixturesxk ⋮ Mixed Poisson Distributions ⋮ The likelihood ratio test for general mixture models with or without structural parameter

Cites Work

• Stochastic orders in partition and random testing of software
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