New Odoma Distribution with Application to Cancer Data

Y Yassmen Abdelall

doi:10.17485/IJST/v16i11.2389

Article

New Odoma Distribution with Application to Cancer Data

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i11.2389

Year: 2023, Volume: 16, Issue: 11, Pages: 839-849

Original Article

New Odoma Distribution with Application to Cancer Data

Y Yassmen Abdelall^1*

¹Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt

*Corresponding Author
Email: [email protected]

Received Date:12 December 2022, Accepted Date:25 January 2023, Published Date:20 March 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: To find appropriate model more flexible than classical models for fitting the survival data in health research especially in cancer blood (Leukemia) studies by introducing some additional parameters to the basic models. Methods: Based on the Alpha Power transformation technique and using Two-Parameter Odoma distribution, the new distribution called the Alpha Power Two- Parameter Odoma distribution is introduced and studied. The maximum likelihood estimation procedure is employed to estimate the unknown parameters. A simulation study is carried out to evaluate the performance of the maximum likelihood estimators. Finding: Common statistical properties such as quantile function, rth moments, moment generating function, characteristic function, incomplete moments, entropy and order statistics are derived. The practical importance of the proposed model is illustrated by using goodness-of-fit criterias based on real data set. The APTPO distribution is the most appropriate model for fitting survival data Novelty:of cancer studies comparing with other competitive distributions.

Keywords: TwoParameter Odoma Distribution; Alpha Power Transformation; Quantile; Moments; Maximum Likelihood Estimation

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Copyright

© 2023 Abdelall. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)