Stochastic comparisons of series and parallel systems with independent heterogeneous lower-truncated Weibull components

DOI10.1080/03610926.2015.1099671zbMath1338.60050OpenAlexW2235854961MaRDI QIDQ2807703

Jie Ling, Longxiang Fang, Narayanaswamy Balakrishnan

Publication date: 25 May 2016

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

Full work available at URL: https://doi.org/10.1080/03610926.2015.1099671

zbMATH Keywords

usual stochastic orderhazard rate ordermultivariate chain majorizationlower-truncated Weibull distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (5)

Stochastic orders of multivariate Jones-Larsen distribution family with empirical applications in physics, economy and social sciences ⋮ On stochastic comparisons of coherent systems with two different types of components ⋮ Ordering results of the smallest and largest order statistics from independent heterogeneous exponentiated gamma random variables ⋮ Ordering results of extreme order statistics from heterogeneous Gompertz–Makeham random variables ⋮ Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components

Cites Work

• Stochastic comparisons of series systems with heterogeneous Weibull components
• New results on stochastic comparison of order statistics from heterogeneous Weibull populations
• Stochastic orders
• Stochastic orders in reliability and risk. In honor of Professor Moshe Shaked. Based on the talks presented at the international workshop on stochastic orders in reliability and risk management, SORR2011, Xiamen, China, June 27--29, 2011
• Likelihood ratio order of sample minimum from heterogeneous Weibull random variables
• Comparisons of smallest order statistics from Weibull distributions with different scale and shape parameters
• Stochastic Order Relations Among Parallel Systems from Weibull Distributions
• Inequalities: theory of majorization and its applications

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