Statistical inferences of Rs;k = Pr(Xk-s+1:k > Y ) for general class of exponentiated inverted exponential distribution with progressively type-II censored samples with uniformly distributed random removal

The problem of statistical inference of the reliability parameter Pr(Xk-s+1:k > Y ) of an s-out-of-k : G system with strength components X1,X2,…,Xk subjected to a common stress Y when X and Y are independent two-parameter general class of exponentiated inverted exponential (GCEIE) progressively type-II right censored data with uniformly random removal random variables, are discussed. We use p-value as a basis for hypothesis testing. There are no exact or approximate inferential procedures for reliability of a multicomponent stress-strength model from the GCEIE based on the progressively type-II right censored data with random or fixed removals available in the literature. Simulation studies and real-world data analyses are given to illustrate the proposed procedures. The size of the test, adjusted and unadjusted power of the test, coverage probability and expected confidence lengths of the confidence interval, and biases of the estimator are also discussed.

Grantor dc:publisher

University of Tennessee at Chattanooga

Author dc:creator

• Fisher, Aaron J.

Contributors dc:contributor

• Gunasekera, Sumith
• Gao, Cuilan; Saleh, Ossama; Dhamshala, Prakash
• College of Arts and Sciences

• Reliability (Engineering)
• Risk assessment -- Mathematical models

Licence

• https://rightsstatements.org/page/InC/1.0/?language=en

Language dc:language

English, eng

Repository record dc:identifier

https://scholar.utc.edu/theses/493

OAI identifier oai:identifier

oai:scholar.utc.edu:theses-1639