Analysis of Count Data by Transmuted Geometric Distribution
- https://doi.org/10.2991/jsta.d.191218.001How to use a DOI?
- Transmuted geometric distribution, EM algorithm, Likelihood Ratio test, Rao score's test, Wald's test
Transmuted geometric distribution () was recently introduced and investigated by Chakraborty and Bhati [Stat. Oper. Res. Trans. 40 (2016), 153–176]. This is a flexible extension of geometric distribution having an additional parameter that determines its zero inflation as well as the tail length. In the present article we further study this distribution for some of its reliability, stochastic ordering and parameter estimation properties. In parameter estimation among others we discuss an EM algorithm and the performance of estimators is evaluated through extensive simulation. For assessing the statistical significance of additional parameter , Likelihood ratio test, the Rao's score tests and the Wald's test are developed and its empirical power via simulation are compared. We have demonstrate two applications of () in modeling real life count data.
- © 2019 The Authors. Published by Atlantis Press SARL.
- 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/).
Cite this article
TY - JOUR AU - Subrata Chakraborty AU - Deepesh Bhati PY - 2019 DA - 2019/12 TI - Analysis of Count Data by Transmuted Geometric Distribution JO - Journal of Statistical Theory and Applications SP - 450 EP - 463 VL - 18 IS - 4 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.191218.001 DO - https://doi.org/10.2991/jsta.d.191218.001 ID - Chakraborty2019 ER -