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On the transmuted extreme value distribution with application. (English) Zbl 1238.60018
Summary: A functional composition of the cumulative distribution function of one probability distribution with the inverse cumulative distribution function of another is called the transmutation map. In this article, we will use the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distributions taking extreme value distribution as the base value distribution by introducing a new parameter that would offer more distributional flexibility. It will be shown that the analytical results are applicable to model real world data.

MSC:
60E05 Probability distributions: general theory
62E15 Exact distribution theory in statistics
62G32 Statistics of extreme values; tail inference
Software:
R
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