On the Characteristics and Application of Inverse Power Pranav Distribution
K. C. Nwankwo
Department of Statistics, Nnamdi Azikiwe University Awka, Nigeria.
I. S. Onyeagu
Department of Statistics, Nnamdi Azikiwe University Awka, Nigeria.
C. H. Nwankwo
Department of Statistics, Nnamdi Azikiwe University Awka, Nigeria.
G. A. Osuji
Department of Statistics, Nnamdi Azikiwe University Awka, Nigeria.
C. K. Onyekwere *
Department of Statistics, Nnamdi Azikiwe University Awka, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Pranav distribution, inverse power pranav distribution; stochastic ordering, exponentiated inverse power pranav distribution, goodness of fit test