dc.description.abstract | In this project construction of Laplace distribution has been reviewed using the difference
method,method of mixture,product of Rayleigh and normal distributions.The properties of
Laplace distribution including mgf,skewness and kurtosis have been determined.
A generalization of Laplace distribution has been studied based on Beta generated distribution,
generalized Laplace distribution,Laplace mixtures and Exponential power mixtures.
Both Laplace mixtures and Exponential power mixtures are obtained using 16 mixing
distributions through the methods of modified Bessel function of the third kind and in
terms of confluent hypergeometric function.The the rth moments for Laplace mixtures
are looked into.In addition, the classical cases of EP when r = 1 giving rise to Laplace
distribution and when r = 2 to yield normal distribution are also studied. | en_US |