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On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications

Author

Listed:
  • Bhatti Fiaz Ahmad

    (National College of Business Administration and Economics, Lahore, Pakistan)

  • Hamedani G. G.
  • Sheng Wenhui

    (Marquette University, Milwaukee, WI 53201-1881, USA)

  • Ahmad Munir

    (National College of Business Administration and Economics, Lahore, Pakistan)

Abstract

In this paper, we propose a flexible extended quadratic hazard rate (EQHR) distribution with increasing, decreasing, bathtub and upside-down bathtub hazard rate function. The EQHR density is arc, right-skewed and symmetrical shaped. This distribution is also obtained from compounding mixture distributions. Stochastic orderings, descriptive measures on the basis of quantiles, order statistics and reliability measures are theoretically established. Characterizations of the EQHR distribution are studied via different techniques. Parameters of the EQHR distribution are estimated using the maximum likelihood method. Goodness of fit of this distribution through different methods is studied.

Suggested Citation

  • Bhatti Fiaz Ahmad & Hamedani G. G. & Sheng Wenhui & Ahmad Munir, 2018. "On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 45-60, June.
  • Handle: RePEc:bpj:ecqcon:v:33:y:2018:i:1:p:45-60:n:5
    DOI: 10.1515/eqc-2018-0002
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    Cited by:

    1. Fiaz Ahmad Bhatti & G. G. Hamedani & Seyed Morteza Najibi & Munir Ahmad, 2019. "On Modified Extended Exponential Power Life Testing Distribution: Development, Properties, Characterizations and Application," Annals of Data Science, Springer, vol. 6(3), pages 413-439, September.

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