A new stochastic order based upon Laplace transform with applications
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Publication:1021995
DOI10.1016/J.JSPI.2008.12.002zbMath1163.60303OpenAlexW2082286048MaRDI QIDQ1021995
Xiaohu Li, Ping Li, Xiao-liang Ling
Publication date: 9 June 2009
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jspi.2008.12.002
Inequalities; stochastic orderings (60E15) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)
Related Items (11)
Some results on the relative ordering of two frailty models ⋮ Stochastic properties of a weighted frailty model ⋮ On comparisons of population and subpopulations in frailty models ⋮ Competing between two groups of individuals following frailty models ⋮ Stochastic comparisons of multivariate reversed frailty model ⋮ Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times ⋮ A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics ⋮ On a system of nonhomogeneous components sharing a common frailty ⋮ The additive hazard mixing models ⋮ Proportional ratios orders based on laplace transforms ⋮ Negative aging and stochastic comparisons of residual lifetimes in multivariate frailty models
Cites Work
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- On non-monotonic ageing properties from the Laplace transform, with actuarial applications
- Stochastic comparisons of multivariate frailty models
- Characterizations of stochastic orders based on ratios of Laplace transforms
- Laplace transform ordering of actuarial quantities.
- Effects of unobserved and partially observed covariate processes on system failure: A review of models and estimation strategies
- Negative dependence in frailty models
- Preservation of classes of life distributions and stochastic orders under weighting
- Stochastic comparisons in frailty models
- A useful ageing property based on the Laplace transform
- Preservation of stochastic orders for random minima and maxima, with applications
- Some Reliability Applications of the Variability Ordering
- PRESERVATION OF STOCHASTIC ORDERS UNDER MIXTURES OF EXPONENTIAL DISTRIBUTIONS
- Partial Ordering and Aging Properties of Order Statistics When the Sample Size is Random: A Brief Review
- Exponential and scale mixtures and equilibrium distributions
- Stochastic orders based on ratios of Laplace transforms
- Stochastic comparisons of random minima and maxima
- Criteria for the Stochastic Ordering of Random Sums, with Actuarial Applications
- On the Use of Generating Functions and Laplace Transforms in Applied Probability Theory
- Laplace ordering and its applications
- Stochastic comparisons of random minima and maxima from life distributions
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