Marshall-Olkin Discrete Uniform Distribution | Zendy

E Sandhya | Zendy; C B Prasanth | Zendy

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Marshall-Olkin Discrete Uniform Distribution

Author(s) -

E Sandhya,

C B Prasanth

Publication year - 2014

Publication title -

journal of probability

Language(s) - English

Resource type - Journals

eISSN - 2356-7589

pISSN - 2314-8373

DOI - 10.1155/2014/979312

Subject(s) - mathematics , autoregressive model , statistics , principle of maximum entropy , order statistic , distribution fitting , distribution (mathematics) , univariate distribution , log cauchy distribution , statistical physics , probability distribution , inverse chi squared distribution , mathematical analysis , physics

We introduce and characterize a new family of distributions, Marshall-Olkin discrete uniform distribution. The natures of hazard rate, entropy, and distribution of minimum of sequence of i.i.d. random variables are derived. First order autoregressive (AR (1)) model with this distribution for marginals is considered. The maximum likelihood estimates for the parameters are found out. Also, the goodness of the distribution is tested with real data.

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