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A new lifetime model with different types of failure rate

Author

Listed:
  • Laleh Tafakori
  • Armin Pourkhanali
  • Saralees Nadarajah

Abstract

A new class of lifetime distributions, which can exhibit with upside-down bathtub-shaped, bathtub-shaped, decreasing, and increasing failure rates, is introduced. The new distribution is constructed by compounding generalized Weibull and logarithmic distributions, leading to improvement on the lifetime distribution considered in Dimitrakopoulou et al. (2007) by having no restriction on the shape parameter and extending the result studied by Tahmasbi and Rezaei (2008) in the general form. The proposed model includes the exponential–logarithmic and Weibull–logarithmic distributions as special cases. Various statistical properties of the proposed class are discussed. Furthermore, estimation via the maximum likelihood method and the Fisher information matrix are discussed. Applications to real data demonstrate that the new class of distributions is more flexible than other recently proposed classes.

Suggested Citation

  • Laleh Tafakori & Armin Pourkhanali & Saralees Nadarajah, 2018. "A new lifetime model with different types of failure rate," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(16), pages 4006-4020, August.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:16:p:4006-4020
    DOI: 10.1080/03610926.2017.1367811
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    Cited by:

    1. Mohamed S. Eliwa & Muhammad H. Tahir & Muhammad A. Hussain & Bader Almohaimeed & Afrah Al-Bossly & Mahmoud El-Morshedy, 2023. "Univariate Probability-G Classes for Scattered Samples under Different Forms of Hazard: Continuous and Discrete Version with Their Inferences Tests," Mathematics, MDPI, vol. 11(13), pages 1-24, June.

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