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GENERALIZED DISCRETE LAPLACE DISTRIBUTION: ESTIMATION AND APPLICATIONS
Keywords:
discrete Laplace distribution, generalized discrete Laplace distribution, maximum likelihood estimation, INAR model, thinning operator.DOI:
https://doi.org/10.17654/0972361724037Abstract
Generalized discrete Laplace distribution, introduced by Seethalekshmi and Simi [21] is studied. The distribution is developed as a generalization of discrete Laplace distribution and various distributional properties of the model are reviewed. Estimation of the parameters of the distribution is obtained using MLE method and a simulation study is performed. Relevance of the model is established by fitting to a real data set and a comparative study is done with other three distributions. An INAR model using thinning operator is developed with GDL distribution as marginals.
Received: December 4, 2023
Accepted: March 13, 2024
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