Modeling of Cancer Patients Data Using Burr-X Log Logistic

Kanak  Modi

Authors

Kanak Modi Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, India

Keywords:

Burr-X generator, order statistics, probability weighted moments, maximum likelihood estimation, Rényi entropy

Abstract

The Burr-X Log Logistic probability distribution with three parameters is established with application. The projected distribution has a unimodal and bathtub shaped density function and hazard rate function with inverted bathtub shape. We considered its statistical properties to interpret about the nature of proposed distribution. Plots for its density function and survival function are drawn for different combination of parameters. Order statistics distribution and corresponding $t^{th}$ moment for proposed distribution is also considered. Rényi entropy and Probability weighted moments are calculated. Maximum likelihood estimation technique is applied to compute parameter estimates. We executed a simulation study to compare performance of the estimators. We apply derived distribution on three real datasets and results show that it provides better fit than some existing distributions.

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