# Beta-Burr Type X Distribution with Application to Luteinizing Hormone Data

## DOI:

https://doi.org/10.29244/icsa.2019.pp121-129## Keywords:

beta distribution, Burr Type X distribution, maximum likelihood## Abstract

Beta-Burr Type X distribution is a three parameter distribution and can model right skewed, left skewed, and symmetric data. Beta-Burr Type X distribution is the result of composition distribution functions of beta distribution and Burr Type X distribution. In this study, the characteristics such as probability density function (PDF), cumulative distribution function (CDF), the r-th moment, mean, and variance are presented. The maximum likelihood method is used to estimate the parameters of Beta-Burr Type X distribution, and the solution is obtained using a numerical method. As an illustration, Beta-Burr Type X distribution is used to model the data of luteinizing hormone in female blood samples.

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## Published

2021-02-26

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Articles