On the Transmuted AdditiveWeibull Distribution | Zendy

Ibrahim Elbatal | Zendy; Gokarna Aryal | Zendy

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On the Transmuted AdditiveWeibull Distribution

Author(s) -

Ibrahim Elbatal,

Gokarna Aryal

Publication year - 2016

Publication title -

austrian journal of statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.342

H-Index - 9

ISSN - 1026-597X

DOI - 10.17713/ajs.v42i2.160

Subject(s) - weibull distribution , mathematics , order statistic , statistics , exponentiated weibull distribution , distribution (mathematics) , mathematical analysis

In this article a continuous distribution, the so-called transmuted additive Weibull distribution, that extends the additive Weibull distribution and some other distributions is proposed and studied. We will use the quadratic rank transmutation map proposed by Shaw and Buckley (2009) in order to generate the transmuted additiveWeibull distribution. Various structural properties of the new distribution including explicit expressions for the moments, random number generation and order statistics are derived. Maximum likelihood estimation of the unknown parameters of the new model for completesample is also discussed. It will be shown that the analytical results are applicable to model real world data.

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