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Characterizations of Discrete Weibull related distributions

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  • Szymkowiak, Magdalena
  • Iwińska, Maria

Abstract

In this paper discrete aging intensity and discrete alternative aging intensity functions are introduced. Further, using these functions we characterize some Discrete Weibull related distributions. Although, these discrete distributions have their continuous equivalents, quite often they seem to be more convenient in reliability analysis of elements and systems.

Suggested Citation

  • Szymkowiak, Magdalena & Iwińska, Maria, 2016. "Characterizations of Discrete Weibull related distributions," Statistics & Probability Letters, Elsevier, vol. 111(C), pages 41-48.
    • Handle: RePEc:eee:stapro:v:111:y:2016:i:c:p:41-48
    DOI: 10.1016/j.spl.2016.01.004
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    1. Nanda, Asok K. & Bhattacharjee, Subarna & Alam, S.S., 2007. "Properties of aging intensity function," Statistics & Probability Letters, Elsevier, vol. 77(4), pages 365-373, February.
    2. Roy, Dilip & Gupta, R. P., 1999. "Characterizations and model selections through reliability measures in the discrete case," Statistics & Probability Letters, Elsevier, vol. 43(2), pages 197-206, June.
    3. Nanda, Asok K., 2010. "Characterization of distributions through failure rate and mean residual life functions," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 752-755, May.
    4. Bhattacharjee, Subarna & Nanda, Asok K. & Misra, Satya Kr., 2013. "Reliability analysis using ageing intensity function," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1364-1371.
    5. Almalki, Saad J. & Nadarajah, Saralees, 2014. "Modifications of the Weibull distribution: A review," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 32-55.
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    Cited by:

    1. P. G. Sankaran & N. Unnikrishnan Nair & Nidhi P. Ramesh, 2016. "Quantification of relative ageing in discrete time," METRON, Springer;Sapienza Università di Roma, vol. 74(3), pages 339-355, December.

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