Estimation and testing procedures for the reliability functions of a family of lifetime distributions based on records
Chaturvedi, Ajit;
Malhotra, Ananya;
(2017)
Estimation and testing procedures for the reliability functions of a family of lifetime distributions based on records.
International Journal of System Assurance Engineering and Management, 8 (S2).
pp. 836-848.
ISSN 0975-6809
DOI: https://doi.org/10.1007/s13198-016-0531-2
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A family of lifetime distributions is considered. Two measures of reliability are considered, R(t) = P(X > t) and P = P(X > Y). Point estimation and testing procedures are developed for R(t) and P based on records. Two types of point estimators are developed—uniformly minimum variance unbiased estimators and maximum likelihood estimators. A comparative study of different methods of estimation is done through simulation studies. Testing procedures are developed for the hypothesis related to different parametric functions.