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.
Highlights
As mentioned in our previous works, the problem of characterizing a distribution is an important problem in applied sciences, where an investigator is vitally interested to know if their model follows the right distribution
We present certain characterizations of the discrete Weibull distributions listed above, which have been taken from the interesting review paper of Almalki and Nadarajah (2014)
For a detailed treatment of each one of these distributions and their domain of applicability, we refer the interested reader to the corresponding paper cited in the references
Summary
As mentioned in our previous works, the problem of characterizing a distribution is an important problem in applied sciences, where an investigator is vitally interested to know if their model follows the right distribution. (a) The cdf, pmf, hf and rhf of DWI distribution are given, respectively, by (b) The cdf , pmf, hf and rhf of DWII distribution are given, respectively, by (c) The cdf , pmf, hf and rhf of DWIII distribution are given, respectively, by
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