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Some properties of discrete bathtub-shaped distributions

Author

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  • N. Unnikrishnan Nair
  • P. G. Sankaran
  • Nidhi P. Ramesh

Abstract

The existence and the usefulness of discrete bathtub-shaped and upside down bathtub-shaped distributions have been demonstrated in some papers of recent origin. However, the general properties of these two classes of distributions do not seem to have been discussed. This article proposes to study some reliability properties of such distributions. We investigate the closure properties with reference to convolution, mixing, series and parallel systems, etc. and existence of bounds on reliability functions, moment properties, and convergence.

Suggested Citation

  • N. Unnikrishnan Nair & P. G. Sankaran & Nidhi P. Ramesh, 2017. "Some properties of discrete bathtub-shaped distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(11), pages 5384-5393, June.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:11:p:5384-5393
    DOI: 10.1080/03610926.2015.1100743
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