Figure 4. Estimated pdf and cdf curves for Bladder Cancer Data
From Table 4, we may see that BL2PFD provides better fit for the above data set as it provides minimum AIC, BIC, CAIC, HQIC.
Failure Times Data of Air-Conditioned System
The 2nd data set is reported by [26][1], which corresponds to the 30 failure times of air-conditioned system of an airplane. The data are as follows: 23, 261, 87, 7, 120, 14, 62, 47, 225, 71, 246, 21, 42, 20, 5, 12, 120, 11, 3, 14, 71, 11, 14, 11, 16, 90, 1, 16, 52, and 95.
We have compared BL2PFD with the alpha power transformed inverse exponential (APTIE) distribution by [27], Marshall Olkin length biased exponential (MOLBE) distribution by [28], APT inverted Weibull (APTIW) distribution by [29], APT Pareto (APTP) distribution by [30] and Alpha Power Transformed Inverse Lomax distribution (APTIL) by [31].
Figure 5. TTT Plot for Failure Times Data of Air-Conditioned System The TTT-plot is displayed in Figure 5, which indicates that the HRF associated with the data set has a bathtub shape, since the plot shows a first concave curvature. So, we can easily fit BL2PFD on the failure time’s data of air-conditioned system.Table 5. “Statistics of air-conditioned system”