PRESERVATION OF STOCHASTIC ORDERS UNDER MIXTURES OF EXPONENTIAL DISTRIBUTIONS

DOI10.1017/S0269964806060402zbMath1107.62014MaRDI QIDQ3422740

Jarosław Bartoszewicz, Magdalena Skolimowska

Publication date: 13 February 2007

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (13)

Variability ordering of multiplicative frailty models ⋮ On the second-order excess wealth order and its properties ⋮ Some results on an additive hazards model ⋮ Stochastic comparisons of mixtures of parametric families in stochastic epidemics ⋮ A note on the stochastic properties of a scale change random effects model ⋮ Block–Savits Characterization and Star Ordering of Exponential Mixtures ⋮ Increasing mean inactivity time ordering: a quantile approach ⋮ Stochastic comparisons for time transformed exponential models ⋮ Proportional ratios orders based on laplace transforms ⋮ A nonparametric test for exponentiality in LIFRA class of life distributions ⋮ Preservation of classes of life distributions and stochastic orders under weighting ⋮ Bounds for mixtures of order statistics from exponentials and applications ⋮ A new stochastic order based upon Laplace transform with applications

Cites Work

• A note on dispersive ordering defined by hazard functions
• Laplace transforms for classes of life distributions
• Mixtures of exponential distributions
• Mixtures of distributions, moment inequalities and measures of exponentiality and normality
• Stochastic orders based on the Laplace transform and infinitely divisible distributions
• Mixtures of exponential distributions and stochastic orders
• A useful ageing property based on the Laplace transform
• Dispersive ordering and monotone failure rate distributions
• On tail-ordering and comparison of failure rates
• Stochastic orders based on ratios of Laplace transforms
• Properties of some stochastic orders: A unified study
• Laplace ordering and its applications

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