Research Article
Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application
Table 7
Mean, variance, and coefficient of skewness and kurtosis of
and
when
and
.
| | | | | | Mean | | | | Mean | | | |
| 1 | 7 | 0 | 0 | 0.039518 | 1.293415 | 2.911714 | −0.869812 | 0.077551 | 0.742414 | 0.979527 | 1 | 0 | 0.053594 | 1.192561 | 2.520105 | −0.797493 | 0.092252 | 0.779777 | 1.008172 | 2 | 0 | 0.081318 | 1.120099 | 2.226028 | −0.711487 | 0.115903 | 0.855671 | 1.063987 | 10 | 0 | 0 | 0.019474 | 1.423328 | 3.072102 | −1.076674 | 0.050613 | 0.577731 | 0.656743 | 1 | 0 | 0.024152 | 1.390529 | 2.929123 | −1.010657 | 0.057441 | 0.646992 | 0.849696 | 2 | 0 | 0.030666 | 1.313859 | 2.779625 | −0.937868 | 0.066703 | 0.704326 | 0.996806 | 3 | 0 | 0.039518 | 1.293415 | 2.911714 | −0.869812 | 0.077551 | 0.742414 | 0.979527 | 4 | 0 | 0.053594 | 1.192561 | 2.520105 | −0.797493 | 0.092252 | 0.779777 | 1.008172 |
| 2 | 7 | 0 | 0 | 0.040446 | 1.346119 | 2.959134 | −0.872235 | 0.077554 | 0.657331 | 0.621787 | 1 | 0 | 0.056396 | 1.290511 | 2.950683 | −0.791361 | 0.094215 | 0.711686 | 0.724204 | 2 | 0 | 0.084088 | 1.154996 | 2.724035 | −0.702471 | 0.119568 | 0.845766 | 1.076625 | 10 | 0 | 0 | 0.020031 | 1.520931 | 3.976296 | −1.070904 | 0.051448 | 0.563839 | 0.452005 | 1 | 0 | 0.024299 | 1.464689 | 3.627171 | −1.008042 | 0.058065 | 0.589949 | 0.502475 | 2 | 0 | 0.030976 | 1.446371 | 3.457844 | −0.947609 | 0.065707 | 0.625893 | 0.561158 | 3 | 0 | 0.040446 | 1.346119 | 2.959134 | −0.872235 | 0.077554 | 0.657331 | 0.621787 | 4 | 0 | 0.056396 | 1.290511 | 2.950683 | −0.791361 | 0.094215 | 0.711686 | 0.724204 |
| 3 | 7 | 0 | 0 | 0.041336 | 1.406169 | 3.581796 | −0.862483 | 0.079136 | 0.678438 | 0.457074 | 1 | 0 | 0.057864 | 1.338369 | 3.284062 | −0.783676 | 0.095853 | 0.757721 | 0.647221 | 2 | 0 | 0.081859 | 1.167649 | 2.806261 | −0.696523 | 0.121341 | 0.870486 | 0.981312 | 10 | 0 | 0 | 0.019406 | 1.420998 | 3.140231 | −1.057713 | 0.052619 | 0.563401 | 0.372104 | 1 | 0 | 0.024194 | 1.468318 | 3.741814 | −0.994451 | 0.059526 | 0.590185 | 0.356138 | 2 | 0 | 0.030713 | 1.375474 | 3.216648 | −0.928065 | 0.068347 | 0.631802 | 0.412006 | 3 | 0 | 0.041336 | 1.406169 | 3.581796 | −0.862483 | 0.079136 | 0.678438 | 0.457074 | 4 | 0 | 0.057864 | 1.338369 | 3.284062 | −0.783676 | 0.095853 | 0.757721 | 0.647221 |
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