Beta Lehmann-2 Power function distribution with Application to Bladder
Cancer Susceptibility and Failure Times of Air Conditioned System
Abstract
Probability distributions have great use in reliability engineering
where the researchers try to find the distribution of the different
processes. To meet the needs of the reliability engineers, we have
proposed a simple probability distribution named as Beta Lehman-2 which
may be proved more useful as compare to already existing models of the
probability distributions. The aim of the study is to show the
performance of the proposed distribution over already existing
distributions. In this study, a new Beta Lehmann-2 Power function
distribution (BL2PFD) is proposed. We suggest a new generator that will
modify the Power function distribution called Beta Lehmann-2 generator
(BL2-G). The various properties of the new distribution have been
discussed in detail such as moments, vitality function, conditional
moments and order statistics etc. We have also characterized the BL2PFD
based on conditional variance. This distribution can be used for
approximately symmetric data (normal data), positive and negative skewed
data. The application of this distribution is illustrated by using data
sets from medical and engineering sources. The shape of the new
distribution has been studied for applied sciences. After analyzing
data, we conclude that the proposed model BL2PFD perform better in all
the data sets while compared to different competitor models.