ItemArticle

A New Versatile Discrete Distribution for Censored Data: Frequentist and Bayesian Methods With Real-Life Applications

Title
A New Versatile Discrete Distribution for Censored Data: Frequentist and Bayesian Methods With Real-Life Applications
Creator
Gillariose, Jiju; Abdelwahab, Mahmoud M.; Elbatal, Ibrahim; Joseph, Joshin; Balogun, Oluwafemi Samson; Hasaballah, Mustafa M.
Description
This study introduces a novel and highly flexible class of discrete probability distributions tailored to model the diverse monotonic failure-rate patterns frequently observed in stock-market data. The proposed distribution accommodates outliers effectively and serves as a discrete analogue of the exponential law, enabling analysts to derive robust and interpretable insights into market dynamics. Fundamental mathematical characteristics of the distributionsuch as the probability-generating function, mean, and varianceare thoroughly derived. The model is further extended to handle Type-II censored data, enhancing its applicability to real-world scenarios where incomplete observations are common. Parameter estimation is performed using both maximum-likelihood and Bayesian approaches, with a special focus on techniques suitable for censored samples. The performance and reliability of the estimators are examined through extensive simulation studies. To validate the practical utility of the model, it is applied to five real stock-market datasets obtained from Indiastat. The results demonstrate a superior empirical fit, affirming the models relevance in capturing the underlying patterns of financial time series. This distribution provides a valuable tool for analysts and researchers in the fields of financial statistics, risk modeling, and market behavior analysis. 2013 IEEE.
Source
IEEE Access;Volume;13;pp.196552-196564
Date
01-01-2025
Publisher
Institute of Electrical and Electronics Engineers Inc.
Subject
Bayesian analysis; Discrete probability distributions; generalized distribution families; maximum likelihood estimation; simulation; stock market data; type-II censored data
Coverage
Gillariose J., CHRIST (Deemed to be University), Department of Statistics and Data Science, Karnataka, Bengaluru, 560029, India; Abdelwahab M.M., Faculty of Science, Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia; Elbatal I., Faculty of Science, Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia; Joseph J., SCAPS, Marian College Kuttikkanam (Autonomous), Idukki, Kerala, Kuttikkanam, 685531, India; Balogun O.S., University of Eastern Finland, School of Computing, Kuopio, 70211, Finland; Hasaballah M.M., Marg Higher Institute of Engineering and Modern Technology, Department of Basic Sciences, Cairo, 11721, Egypt
Rights
All Open Access; Gold Open Access; Green Open Access
Relation
ISSN: 21693536;
Format
online
Language
English
Type
Article

Citation

Gillariose, Jiju; Abdelwahab, Mahmoud M.; Elbatal, Ibrahim; Joseph, Joshin; Balogun, Oluwafemi Samson; Hasaballah, Mustafa M., “A New Versatile Discrete Distribution for Censored Data: Frequentist and Bayesian Methods With Real-Life Applications,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/22953.

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