A GENERALIZATION TO LAPLACE AND LOGISTIC DISTRIBUTIONS

Dr. Thomas Mathew

Dr. Thomas Mathew Associate Professor, Department of Statistics, Mar Dionysius College, Kerala, India.

Keywords: Asymmetric Laplace Distribution, Chi-Square Test, Kolmogrove Smirnove Two Sample Test, Laplace Distribution, Logistic Distribution Linnik Distribution, Marshall-Olkin Half-Logistic Distribution

Abstract

Half-logistic distribution is generalized by introducing a parameter. A new family of distribution that generalizes the Laplace and logistic distribution is introduced and studied. Symmetric Laplace and asymmetric Laplace distributions discussed in Kozubowski and Podgorski (2000) are included in this class as special cases. The logistic distribution is also a member of this family. The asymmetric logistic distribution is explored. Estimation of parameters of the family of distribution is done. This distribution is applied to model the share index of Bombay stock exchange (INDIA). It is shown that generalized asymmetric Laplace logistic distribution is suitable to model the share index of Bombay stock exchange (INDIA).

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