Main Article Content

Abstract

Seven versions of the discrete Weibull distribution are characterized via conditional expectation of function of the random variable as well as based on the hazard or reverse hazard function.

Keywords

Discrete Weibull distribution Discrete Modified Weibull distribution Discrete Reduced Modified Weibull distribution Characterizations

Article Details

How to Cite
Hamedani, G., & Butt, N. S. (2020). Characterizations of Discrete Weibull Distributions. Pakistan Journal of Statistics and Operation Research, 16(3), 599-607. https://doi.org/10.18187/pjsor.v16i3.3464

References

  1. Almalki, S.J. (2018). A reduced new modified Weibull distribution. Commun. Statist. Theo-Meth, 47(10), 2297-2313.
  2. Almalki, S.J. and Nadarajah, S. (2014). A new discrete modified Weibull distribution. IEEE Trans Reliab, 63(1), 68-80.
  3. Bebbington, M, Lai, C.D., Wellington, M. and Zitikis, R. (2012). The discrete additive Weibull distribution: a bathtub shaped hazard for discontinuous failure data. Reliab Eng syst Safety, 106, 37-44.
  4. Jazi, M.A., Lai, C.D., Alamatsaz, M.H. (2010). A discrete inverse Weibull distribution and estimation of its parameters. Stat Methodol, 7, 121-132.
  5. Lai, C.M., Xie, M. and Murthy, D.N.P. (2003). A modified Weibull distribution. IEEE Trans Reliab, 52, 33-37.
  6. Nakagawa, T. and Osaki, S. (1975). The discrete Weibull distribution. IEEE Trans Reliab, 24, 300-301.
  7. Nooghabi, M.S., Borzadaran, G.R.M. and Roknabadi, A.H.R. (2011). Discrete modified Weibull distribution. Metron, 69, 207-222.
  8. Padgett, W.J., Spurrier, J.D. (1985). On discrete failure models. IEEE Trans Reliab, 34, 253-256.
  9. Stein, E.W. and Dattero, R.A. (1984). A new discrete Weibull distribution. IEEE Trans Reliab, 33, 196-197.