Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/763
Title: On Some Laplace-Type Discrete Distributions
Authors: Nourah Buhamra 
Supervisor: Prof. Emad-Eldin Aly Ahmed Aly
Keywords: Laplace : Discrete
Issue Date: 2018
Publisher:  Kuwait university - college of graduate studies
Abstract: The Laplace distribution (LD) has many applications in Engineering, Finance, Economics and Astronomy. Several representations of the continuous Laplace distribution are given in Kotz et al. (2001). Aly (2018) proposed and studied a unified approach for developing Laplace-type distributions using a random sign transformation (RST) and a random sign mixture transformation (RSMT). Recently, some discrete Laplace-type distributions have been developed and studied in the literature. These distributions are essentially obtained as the difference of two independent integer-valued random variables. This thesis examines a number of discrete Laplace-type distributions developed using the RST and the RSMT of the Geometric and the Poisson distributions. Properties of these distributions are derived. Moreover, using two real life of data sets, the proposed distributions are compared with their available counterparts in the literature.
URI: http://hdl.handle.net/123456789/763
Appears in Programs:0480 Statistics & Operations Research

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