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

In: Optimization Models in Software Reliability

Author

Listed:
  • Taruna Kumari

    (University of Delhi)

  • Anupam Pathak

    (Ramjas College, University of Delhi)

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.

Suggested Citation

  • Taruna Kumari & Anupam Pathak, 2022. "Estimation and Testing Procedures for the Reliability Functions of Exponentiated Generalized Family of Distributions and a Characterization Based on Records," Springer Series in Reliability Engineering, in: Anu G. Aggarwal & Abhishek Tandon & Hoang Pham (ed.), Optimization Models in Software Reliability, pages 283-321, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-030-78919-0_13
    DOI: 10.1007/978-3-030-78919-0_13
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