Estimation and Testing Procedures for the Reliability Functions of Exponentiated Generalized Family of Distributions and a Characterization Based on Records

Taruna Kumari () and Anupam Pathak ()
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Taruna Kumari: University of Delhi
Anupam Pathak: Ramjas College, University of Delhi

A chapter in Optimization Models in Software Reliability, 2022, pp 283-321 from Springer

Abstract: Abstract In this chapter, characterization based on record values for a family of distributions namely; exponentiated generalized family of distributions is provided. Two measures of reliability are considered, namely; R(t) = P(X > t) and P = P(X > Y). Point as well as interval estimation procedures are developed for unknown parameter(s), R(t) and P, based on records. Two types of point estimators are considered, namely; (i) uniformly minimum variance unbiased estimators and (ii) maximum likelihood estimators. Testing procedures are also developed for the hypotheses related to various parametric functions. A comparative study of different methods of estimation is done through simulation studies. Real data example is used to illustrate the results.

Keywords: Exponentiated generalized family of distributions; Characterization; Point estimation; Confidence interval; Records; Monte-Carlo simulation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-030-78919-0_13

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DOI: 10.1007/978-3-030-78919-0_13

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