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Beta Lehmann-2 Power function distribution with Application to Bladder Cancer Susceptibility and Failure Times of Air Conditioned System
  • Azam Zaka,
  • Ahmad Akhter,
  • Riffat Jabeen
Azam Zaka
College of Statistical & Actuarial Sciences University of the Punjab Lahore Pakistan
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Ahmad Akhter
College of Statistical & Actuarial Sciences University of the Punjab Lahore Pakistan
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Riffat Jabeen
COMSATS University Islamabad - Lahore Campus
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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.