6th International Young Scientist Congress (IYSC-2020) will be Postponed to 8th and 9th May 2021 Due to COVID-19. 10th International Science Congress (ISC-2020).  International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

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)

Abstract

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.

References

  1. Muraleedharan G., Rao, A.D., Kurup P.G., Unnikrishnan Nair N. and Mourani S., Modified Weibull Distribution forMaximum and Significant Wave Height Simulation and Prediction, Coast. Engng., 54(8), 630-638 (2007)
  2. Muraleedharan G., Unnikrishnan Nair N. and Kurup P.G., Application of Weibull model Redefined Significant Wave HeightDistributions, Proc. Ind. Aca. Sci., Ear. Planet. Sci., 108 (3), 149-153 (1999)
  3. Kendall G.M. and Stuart A., The Advanced Theory of Statistics; Distribution Theory, 1, London: Charles Griffin and Co.Ltd., London (1964)
  4. Ochi M., Ocean Waves, Ocean Technology Series-6; Cambridge University Press: Cambridge, UK (1998)