Figure 6. Estimated Density Plot for Failure Times Data of
Air-Conditioned System
From Table 5, we may see that BL2PFD provides better fit for the above
data set as it provides minimum AIC, BIC, CAIC, HQIC.
ConclusionWe have proposed a new distribution called Beta Lehmann-2 Power
function distribution (BL2PFD). This distribution can have
applications in the fields of reliability, economics, actuaries and
survival analysis. We have studied the properties of the new
distribution including moments, survival function, hazard function,
inverse moments, conditional moments, Lorenz curve, incomplete moments
and order Statistics. We have also characterized the distribution by
conditional variance. Data sets from different scenarios of applied
sciences are used to show the efficiency of the proposed model over
the already available models. It is hoped that the findings of this
study will be useful for researchers in different field of applied
sciences.