A Unified Approach to Ordering Comparison of GPS Distributions with their Mixtures

DOI10.1080/03610926.2010.489177zbMath1220.60014OpenAlexW1987239420MaRDI QIDQ3017869

Somayyeh Abbasi, Mansour Aghababaei Jazi, Mohammad Hossein Alamatsaz

Publication date: 20 July 2011

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2010.489177

zbMATH Keywords

mixtureslikelihood ratio orderingconvex orderinghazard rate orderinggeneralized power series (GPS) distributionssimple stochastic orderinguniformly more variable ordering

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (4)

Some bounds related to Harris family of distributions ⋮ On comparisons of population and subpopulations in frailty models ⋮ Preservation properties of stochastic orders by transformation to the transmuted-G model ⋮ Unnamed Item

Cites Work

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• Ordering comparison of negative binomial random variables with their mixtures
• Stochastic orders
• Stochastic comparisons of Poisson and binomial random variables with their mixtures.
• Monotonicity and aging properties of random sums
• Certain properties of the generalized power series distribution
• Ordering Comparison of Logarithmic Series Random Variables with their Mixtures
• New class of location-parameter discrete probability distributions and their characterizations

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