Research Article

On the Extended Generalized Inverted Kumaraswamy Distribution

Table 1

Mean estimates, AB, and RMSEs of EGIKw-Burr XII distribution for some parameter values.

nParIII
MLERMSEABMLERMSEAB

25α2.0313690.782508−0.731372.0500771.869672−1.85008
β0.5060180.426535−0.406020.5239790.111397−0.02398
γ1.5397140.101712−0.039711.5361921.391208−1.38619
λ1.6794591.620032−1.479461.7215631.589122−1.47156
ψ0.5139950.7496180.7360050.4954472.808282.804553
Ξ5.5367252.076617−0.536725.6087493.802548−3.10875

50α2.0032410.732436−0.703242.0275231.835541−1.82752
Β0.49530.406724−0.39530.5118690.073648−0.01187
γ1.5165710.060813−0.016571.5194741.370756−1.36947
λ1.5534861.408353−1.353491.5986421.388082−1.34864
ψ0.5146570.7454240.7353430.494162.8059312.80584
ξ5.1406931.181488−0.140695.2303542.985746−2.73035

100α1.9994470.71545−0.699452.0114971.815691−1.8115
β0.4974150.403892−0.397410.5051930.051041−0.00519
γ1.5080290.040566−0.008031.5089471.359594−1.35895
λ1.5195431.347079−1.319541.5442231.312065−1.29422
ψ0.510660.7460590.739340.4972262.802822.802774
ξ5.0595940.784378−0.059595.063912.690264−2.56391

200α2.0013630.710236−0.701362.0095531.811641−1.80955
β0.4971360.400706−0.397140.502960.03563−0.00296
γ1.5046340.029312−0.004631.5054971.35581−1.3555
λ1.5131011.327808−1.31311.527031.285339−1.27703
ψ0.505960.7478740.744040.4984052.8016182.801595
ξ5.0001640.562188−0.000165.0256162.588476−2.52562