Exponentiated Transmuted Modified Weibull Distribution

Manisha Pal, Montip Tiensuwan

Abstract

The paper introduces the exponentiated transmuted modified Weibull distribution, which contains a number of distributions as special cases.  The properties of the distribution are discussed and explicit expressions for the quantiles, mean deviations and the reliability are derived. The distribution and moments of order statistics are also studied. Estimation of the model parameters by the methods of least squares and maximum likelihood are discussed. Finally, the usefulness of the distribution for modeling data is illustrated using real data.

Keywords

Reliability function, moment generating function, quantiles, mean deviation, order statistics, least square estimation, maximum likelihood estimation.

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