Likelihood ratio and dispersive orders for smallest order statistics and smallest claim amounts from heterogeneous Weibull sample

DOI10.1016/j.spl.2015.11.009zbMath1383.62147OpenAlexW2184609831MaRDI QIDQ273680

Ghobad Barmalzan, Amir T. Payandeh Najafabadi, Narayanaswamy Balakrishnan

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.spl.2015.11.009

zbMATH Keywords

weak supermajorizationlikelihood ratio orderWeibull distributiondispersive ordersmallest claim amountweak submajorization

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)

Related Items (13)

Ordering results for smallest claim amounts from two portfolios of risks with dependent heterogeneous exponentiated location-scale claims ⋮ On stochastic comparisons of coherent systems with two different types of components ⋮ Ordering the largest claim amounts and ranges from two sets of heterogeneous portfolios ⋮ Lower and upper bounds for survival functions of the smallest and largest claim amounts in layer coverages ⋮ Ordering results on extremes of inverse Kumaraswamy random samples ⋮ Stochastic comparisons of the largest claim amounts from two sets of interdependent heterogeneous portfolios ⋮ Stochastic comparisons of largest claim amount from heterogeneous and dependent insurance portfolios ⋮ ORDERING PROPERTIES OF EXTREME CLAIM AMOUNTS FROM HETEROGENEOUS PORTFOLIOS ⋮ Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components ⋮ A METHOD FOR CONSTRUCTING AND INTERPRETING SOME WEIGHTED PREMIUM PRINCIPLES ⋮ Stochastic Comparisons between the Extreme Claim Amounts from Two Heterogeneous Portfolios in the Case of Transmuted-G Model ⋮ Orderings of the smallest claim amounts from exponentiated location-scale models ⋮ On transform orders for largest claim amounts

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• Weibull distribution: some stochastic comparisons results
• Comparisons of smallest order statistics from Weibull distributions with different scale and shape parameters
• Weibull Models
• Inequalities: theory of majorization and its applications

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