Sine Type II Topp-Leone Burr XII Distribution: Mathematical Properties and Application to Biomedical and Environmental Data
DOI:
https://doi.org/10.62933/tga3z730Keywords:
HWIBX Distribution, Moments, MLEs Method, OLSE Method, WLSE Method, Bladder cancer, chemotherapyAbstract
This paper introduces a novel three-parameter lifetime model known as the Sine Type II Top-Leone Burr XII distribution. We derive various mathematical properties of this distribution, including its survival function, hazard rate function, quantile and generating functions, moments, Rényi entropy, moment generating function, and order statistics. The parameters of the proposed model were estimated using the maximum likelihood method. A simulation study examines the consistency of these estimates across both small and large sample sizes. To demonstrate the flexibility and significance of the distribution, we apply it to model Biomedical and Environmental data sets.
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