Table 1.
Distributions and corresponding −log[Z(x; φ)] functions.
Fig 1.
Plots of EGuNH density for a variety of parameter combinations.
Fig 2.
Plots of EGuNH density for a variety of parameter combinations.
Fig 3.
Plots of EGuNH density for a variety of parameter combinations.
Fig 4.
Plots of EGuNH density for a variety of parameter combinations.
Fig 5.
Plots of EGuNH hazard rate for a variety of parameter combinations.
Fig 6.
Plots of EGuNH hazard rate for a variety of parameter combinations.
Fig 7.
Plots of EGuNH hazard rate for a variety of parameter combinations.
Fig 8.
Plots of EGuNH hazard rate for a variety of parameter combinations.
Fig 9.
Bowley skewness of EGuNH.
Fig 10.
Moors kurtosis of EGuNH.
Fig 11.
MacGillivray skewness of EGuNH for a variety of parameter combinations.
Fig 12.
MacGillivray skewness of EGuNH for a variety of parameter combinations.
Fig 13.
Plots of the Lorenz curves of EGuNH distribution.
Fig 14.
Plots of the Bonferroni curves of EGuNH distribution.
Table 2.
Descriptive measures of EGuNH for some parameter values.
Table 3.
Moments and moment ratios of EGuNH for some parameter combinations.
Fig 15.
Plots of the VaR of EGuNH distribution for some random parameter values.
Fig 16.
Plots of the ES of EGuNH distribution for some random parameter values.
Table 4.
AEs, Biases, MSEs and CPs for combination-I.
Table 5.
AEs, Biases, MSEs and CPs for combination-II.
Table 6.
AEs, Biases, MSEs and CPs for combination-IV.
Table 7.
AEs, Biases, MSEs and CPs for combination-IV.
Table 8.
The comparative fitted models.
Table 9.
The descriptive statistics related to D1, D2 and D3.
Fig 17.
TTT plot for D1.
Fig 18.
TTT plot for D2.
Fig 19.
TTT plot for D3.
Fig 20.
Estimated hrf for D1.
Fig 21.
TTT plot for D2.
Fig 22.
Estimated hrf plots for D3.
Fig 23.
Estimated density for D1.
Fig 24.
Estimated plots of density for D2.
Fig 25.
Estimated density plot for D3.
Fig 26.
PP plot for D1.
Fig 27.
PP plot for D2.
Fig 28.
PP plot for D3.
Fig 29.
Estimated cdf plot for D1.
Fig 30.
Estimated cdf plot for D2.
Fig 31.
Estimated cdf plot for D3.
Fig 32.
Estimated sf plot for D1.
Fig 33.
Estimated sf plot of density for D2.
Fig 34.
Estimated sf plot for D3.
Table 10.
MLEs with their respective SEs (in parenthesis) for D1, D2 and D3.
Table 11.
The statistics , AIC, BIC, A⋆, W⋆, D⋆ and p⋆ for D1, D2 and D3.
Fig 35.
Estimated VaRs for D1.
Fig 36.
Estimated VaRs for D2.
Fig 37.
Estimated VaRs for D3.
Fig 38.
Estimated ES for D1.
Fig 39.
Estimated ES for D2.
Fig 40.
Estimated ES for D3.
Table 12.
Numerical measures of VaRs and ESs of EGuNH for D1, D2 and D3.