Survival analysis of cancer patients using a new Lomax Rayleigh distribution-Reference-Cited by-同舟云学术

Survival analysis of cancer patients using a new Lomax Rayleigh distribution

Published:2023-05-01 Issue:1 Volume:19 Page:19-45
ISSN:1339-0015
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Naga Saritha K.¹,Rao G. S.²,Rosaiah K.³

Affiliation:

1. 1 Department of Community Medicine , NRI Medical College and Research Institute , Mangalagiri, Guntur , India

2. 2 Department of Mathematics and Statistics , The University of Dodoma , Dodoma, P.O.Box: 259 , Tanzania

3. 3 Department of Statistics , Acharya Nagarjuna University , Guntur , India

Abstract

Abstract A new Lomax Rayleigh distribution (NLRD) is proposed and generated using Transformed Transformer (T-X) family generator. Various structural properties like generating functions, moments, limiting form, quantile function median and mode of NLRD are studied. Maximum likelihood estimators (MLEs) of the parameters are obtained and the model fitting is tested with simulated data. Model adequacy with live data is explained with two real-time cancer data sets. The NLRD shows a better fit in the estimation of survival in bile duct cancer and head and neck cancer data than other existing distributions.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/jamsi-2023-0002

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