Harris extended modified Weibull lifetime distribution properties and applications

Authors

  • I. ELBATAL Department of Mathematics and Statistics – College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia.
  • ROSHINI GEORGE Department of Statistics, Loyola College (Autonomous), Chennai, Tamil Nadu 600 034, India.
  • ALBIN PAUL Department of Statistics, Nirmala College, Muvattupuzha (Autonomous), Kerala, India.

Keywords:

Harris extended family, Modified Weibull, Moments, Maximum Likelihood Estimation, Reliability test plan

Abstract

A new five parameter lifetime distribution called the Harris Extended modified Weibull (HEMW) distribution is proposed, various statistical properties including moments, generating function, incomplete moments, mean deviations, Bonferroni and Lorenz Curves, residual life and reversed residual functions are investigated. Estimation of the model parameters by the method of maximum likelihood is discussed. Applications to some real data sets which motivate the flexibility and potentiality of the new model are provided. For the proposed model an acceptance sampling plan is also derived.

Journal of Statistical Research 2026, Vol. 60, No. 1, pp. 175-196.

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Published

2026-08-17

How to Cite

ELBATAL, I. ., GEORGE, R. ., & PAUL, A. . (2026). Harris extended modified Weibull lifetime distribution properties and applications. Journal of Statistical Research , 60(1), 175-196. https://doi.org/10.3329/jsr.v60i1.92818

Issue

Vol. 60 No. 1 (2026)

Section

Articles

License

Copyright (c) 2026 Journal of Statistical Research

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

ELBATAL, I. ., GEORGE, R. ., & PAUL, A. . (2026). Harris extended modified Weibull lifetime distribution properties and applications. Journal of Statistical Research , 60(1), 175-196. https://doi.org/10.3329/jsr.v60i1.92818