Open Access[Retracted] Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model
Author(s) -
Maha A. Aldahlan
Publication year - 2022
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2022/1985861
Subject(s) - mathematics , kurtosis , skewness , statistics , quantile function , inverse gamma distribution , inverse gaussian distribution , inverse , gamma distribution , maximum likelihood , quantile , probability density function , distribution (mathematics) , probability distribution , inverse chi squared distribution , distribution fitting , moment generating function , mathematical analysis , geometry
A more flexible two-parameter model named the Topp Leone inverse Lindley model is investigated. Some basic mathematical properties such as quantile, moments, order statistics, and Rényi entropy of the new distribution are considered. Plot analysis for mean, variance, skewness, and kurtosis is performed. The density of the new model can be right skewed and decreasing with unimodal and bimodal shapes. Also, its hazard rate function can be decreasing and upside-down. The maximum likelihood (ML) estimation method is used to estimate the parameters of the distribution. The simulation study is executed to investigate the effectiveness of the estimates. The potential of the distribution is demonstrated through the application of the real biomedical dataset.
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