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Characteristic and Moment Generating Functions of Three Parameter Weibull Distribution-an Independent Approach

Author Affiliations

  • 1Centre for Marine Technology and Engineering (CENTEC), The University of Lisbon, Instituto Superior Tecnico, Lisboa, PORTUGAL

Res. J. Mathematical & Statistical Sci., Volume 1, Issue (8), Pages 25-27, September,12 (2013)


The characteristic function of three-parameter Weibull distribution is also derived independently and the moment generating function (MGF) is deduced from it. It generates all the moments of the distribution and satisfies the tests to verify a function to be a characteristic function. Expressions for mean, variance, skewness and kurtosis are also obtained from MGF.


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