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The Journal of Statistics and Management Systems (JSMS) is a world leading journal publishing high quality, rigorously peer-reviewed original research on theoretical and applied statistics and management systems since 1998. The scope is intentionally broad, but papers must make a novel contribution to the field to be considered for publication. Topics include, but are not limited to, the following: • Statistics • Applied Statistics • Industrial Statistics • Statistical Inference • Interdisciplinary role of Statistics • Actuarial Sciences • Decision Sciences • Managerial Aspects • Management Sciences • Management Information Systems

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Open Access Research Article

Cure rate and statistical inference for the Marshall-Olkin generalized defective Gompertz distribution under censored survival data

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pp. 257–266Vol. 28Issue 2March 2025DOI: 10.47974/JSMS-978XML
Received:
07 Dec 2021
Accepted:
07 Jun 2022
Published Online:
01 Mar 2025
Article type:
Research Article
Language:
EN
Article no.:
JSMS-978
Pages:
257–266

Abstract

Cure fraction modeling usually requires the addition of an extra parameter. Defective modeling, alternatively, allows cure fraction modeling with less complexity. A new extension of the defective version of Gompertz distribution is studied in this paper. This distribution is compared to other well-founded distributions and its distinguished performance to fit censored survival data with and without a cure fraction is presented. A computational study is carried out to highlight the correlation between the censorship level and the proportion of long-term survivors. Interesting mathematical properties are established. The practical relevance of the model is illustrated by applying various real and simulated datasets. 

Keywords

Subject Classifications

62F0362F1062P10

References

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