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”