Research Article

A Novel Frechet-Type Probability Distribution: Its Properties and Applications

Table 1

Simulation results.

ParameterNMSE ()MSE ()Bias ()Bias ()

 = 0.3635288
 = 0.4765585
500.0025780260.29812270.01997809−0.2981874
1000.0013160360.19594890.003959582−0.195388
2000.0006791100.057038540.003634784−0.05379642
 = 0.3735288
 = 0.3735288
500.00299770.21091660.008424304−0.2712479
1000.0017796350.14419120.004146879−0.1916479
2000.0008198250.095600070.003931851−0.1200957
 = 0.4048975
 = 0.3565585
500.0042890240.20295630.02249881−0.2622389
1000.002105580.14425190.01043012−0.1901263
2000.0008846410.077661410.004018672−0.10063
 = 0.4335288
 = 0.3865585
500.0055709320.27229050.01798329−0.3314039
1000.0015806990.19304870.006078905−0.236486
2000.0011439010.096536060.001407309−0.1170932
 = 0.4535288
 = 0.4065585
500.0055649720.25720820.0184824−0.3021972
1000.0025640850.21137780.01034615−0.2478211
2000.0014945820.11279260.007373421−0.1322202
 = 0.4648975
 = 0.3565585
500.0040060280.22102960.02249881−0.2946936
1000.0021537030.17374560.00791557−0.231912
2000.0011775390.07731780.002197945−0.1055793
 = 0.4735288
 = 0.3865585
500.0055967820.24607490.02127052−0.3002337
1000.002031430.19743260.00842539−0.245515
2000.0015126190.079871720.005135786−0.09911058