Research Article

A New Scale-Invariant Lindley Extension Distribution and Its Applications

Table 7

Results of fitting models.

Data setModelAICK-S statistic p valueCVM statistic p valueAD statistic p value

Table 3EL14(1.8070, 0.0185)309.43340.0876, 0.99060.0305, 0.97660.2805, 0.9517
PEL14(1.5846, 0.0235, 0.9598)311.41350.0822, 0.99590.0302, 0.97750.2714, 0.9576
QL(0.0843, 0.0107)308.91540.1323, 0.77360.0542, 0.85470.3327, 0.9109
PQL(2.5383, 0.0010, 1.3536)310.96130.1101, 0.92230.0474, 0.89590.3269, 0.9159

Table 4EL72(0.0051, 0.2051)638.58090.0379, 0.99870.0236, 0.99240.1614, 0.9976
PEL96(0.000001, 1.7927, 0.5545)640.23480.0356, 0.99960.0136, 0.99890.1382, 0.9993
QL(, 0.2024)638.60140.0422, 0.99410.0282, 0.98190.1836, 0.9943
PQL(480.295, 0.0304, 1.4587)643.46150.0590, 0.87660.0638, 0.79060.4150, 0.8333

Table 5EL41(0.7893, 0.001)1045.15900.0751, 0.86200.0608, 0.81060.5470, 0.6987
PEL14(2.6871, 0.0071, 0.7976)1043.48500.0642, 0.95180.0271, 0.98540.2137, 0.9862
QL(2.4425, 0.00058)1046.510.0830, 0.77170.0787, 0.70100.7385, 0.5269
PQL(2.8669, 0.0007, 0.9755)1048.5250.0769, 0.84300.0892, 0.64200.7207, 0.5411

Table 6EL102(0.1451, 0.0135)565.13870.0930, 0.80770.1054, 0.56060.6927, 0.5640
PEL102(0.0952, 0.0326, 0.8310)562.96480.0571, 0.99710.0172, 0.99900.1515, 0.9985
QL(761.09, 0.0044)568.01930.1454, 0.28160.1777, 0.31590.9673, 0.3744
PQL(565.2588, 0.00637, 0.9407)569.68340.1310, 0.40230.1438, 0.41000.8765, 0.4283