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Vol. 3 No. 1: June, 2015

A Note on the Minimax Distribution

March 2, 2016


We introduce a one parameter probability model bounded on (0, 1) support
called One Parameter Minimax distribution which is a special case of both the
Kumaraswamy distribution and Beta distribution. Its statistical properties are
systematically explored; we provide explicit expressions for its moments, quantile
function, reliability function and failure rate. The method of maximum likelihood
estimation was used in estimating its parameter. The proposed model can be used to
model data sets with increasing failure rates.
Keywords: Beta distribution, Increasing failure rate, Kumaraswamy distribution,
Minimax distribution.