Statistical Properties and Different Estimation Procedures of Poisson–Lindley Distribution
- DOI
- 10.2991/jsta.d.210105.001How to use a DOI?
- Keywords
- Anderson–Darling method; Cramer–von Mises; Least square estimators; Maximum likelihood estimators; Poisson–Lindley distribution
- Abstract
In this paper, we propose a new class of distributions by compounding Lindley distributed random variates with the number of variates being zero-truncated Poisson distribution. This model is called a compound zero-truncated Poisson–Lindley distribution with two parameters. Different statistical properties of the proposed model are discussed. We describe different methods of estimation for the unknown parameters involved in the model. These methods include maximum likelihood, least squares, weighted least squares, Cramer–von Mises, maximum product of spacings, Anderson–Darling and right-tail Anderson–Darling methods. Numerical simulation experiments are conducted to assess the performance of the so obtained estimators developed from these methods. Finally, the potentiality of the model is studied using one real data set representing the monthly highest snowfall during February 2018, for a subset of stations in the Global Historical Climatological Network of USA.
- Copyright
- © 2021 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Mohammed Amine Meraou AU - Mohammad Z. Raqab PY - 2021 DA - 2021/01/11 TI - Statistical Properties and Different Estimation Procedures of Poisson–Lindley Distribution JO - Journal of Statistical Theory and Applications SP - 33 EP - 45 VL - 20 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.210105.001 DO - 10.2991/jsta.d.210105.001 ID - Meraou2021 ER -