Session 11 - Methods: Stress-strength Inference for the Multicomponent System Based on Progressively type-II Censored Samples from Pareto Distributions

Presenter Information/ Coauthors Information

Lauren Sauer, University of South DakotaFollow

Presentation Type

Oral

Student

Yes

Track

Methodology

Abstract

A system of k components, where the strengths of all k components are independent and have identical distribution and each component is subject to a common random stress, is investigated. This system is alive only if at least s (k ) component strengths exceed the stress. This is also called a multicomponent stress-strength problem. In this talk, the maximum likelihood estimate of the multicomponent system reliability and the related confident intervals of the system reliability are presented based on progressively type-II censored samples from Pareto distributions. An intensive Monte Carlo simulation study is conducted to compare the impact from difference progressive censoring schemes.

Start Date

2-11-2020 2:30 PM

End Date

2-11-2020 3:25 PM

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Feb 11th, 2:30 PM Feb 11th, 3:25 PM

Session 11 - Methods: Stress-strength Inference for the Multicomponent System Based on Progressively type-II Censored Samples from Pareto Distributions

Campanile & Hobo Day Gallery (A & B)

A system of k components, where the strengths of all k components are independent and have identical distribution and each component is subject to a common random stress, is investigated. This system is alive only if at least s (k ) component strengths exceed the stress. This is also called a multicomponent stress-strength problem. In this talk, the maximum likelihood estimate of the multicomponent system reliability and the related confident intervals of the system reliability are presented based on progressively type-II censored samples from Pareto distributions. An intensive Monte Carlo simulation study is conducted to compare the impact from difference progressive censoring schemes.