Open AccessOn the Characteristics and Application of Inverse Power Pranav Distribution
Author(s) -
Kingsley C. Nwankwo,
I. S. Onyeagu,
Chike Henry Nwankwo,
George A. Osuji,
Chrisogonus K. Onyekwere
Publication year - 2021
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2021/v36i730384
Subject(s) - inverse , inverse distribution , mathematics , distribution (mathematics) , generalized inverse gaussian distribution , power (physics) , inverse problem , inverse gamma distribution , statistics , inverse chi squared distribution , distribution fitting , mathematical analysis , probability distribution , heavy tailed distribution , physics , geometry , thermodynamics , gaussian random field , gaussian process , quantum mechanics , gaussian
In this article, we study the mathematical characteristics of the inverse power Pranav distribution. The proposed distribution has three special cases namely Pranav, inverse Pranav and inverse power Pranav distributions. In addition with the basic properties of the distribution, the maximum likelihood method was employed in computing the parameters of the distribution. The 95% confidence interval was estimated for each of the parameters and finally, the distribution was applied to 128 bladder cancer patients to illustrate its applicability, and compared to Pranav distribution, inverse power Lindley distribution and inverse Ishita distribution. However, the inverse power Pranav distribution proved superiority over the competing models.