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Activity Number: 401
Type: Contributed
Date/Time: Wednesday, August 6, 2008 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #300943
Title: The Epsilon-Skew Laplace Distribution
Author(s): Hassan Elsalloukh*+
Companies: University of Arkansas at Little Rock
Address: Department of Mathematics and Statistics, Little Rock, AR, 72204-1099,
Keywords: Skewness ; Kurtosis ; Epsilon-Skew Laplace ; Eplison-Skew Normal ; Normal Distribution ; score tests
Abstract:

In this paper, we introduce a new distribution family that we name the Epsilon-Skew Laplace Distribution (ESL). This set of random variables possesses both symmetric and asymmetric density functions and includes the Laplace distributions as a special case. we define basic properties and highlight special members of the ESL distribution family. we also derive general expressions for the mean, variance, skewness, kurtosis, moments about zero and about a location parameter, entropy, Fisher Information, score tests, and maximum likelihood estimation for the three parameters involved in the new distribution.

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Revised September, 2008