Research Article
A Novel Method for Developing Efficient Probability Distributions with Applications to Engineering and Life Science Data
| Parameters | N | MSE () | MSE () | Bias () | Bias () |
| α = 5.557197 β = 7.558804 | 50 | 2.067219 | 0.9272915 | 0.5047117 | 0.2639728 | 70 | 0.9708544 | 0.7031859 | 0.3088091 | 0.2101214 | 100 | 0.7753223 | 0.372835 | 0.2578149 | 0.1197992 |
| α = 6.457197 β = 3.558804 | 50 | 2.026492 | 0.2259845 | 0.4415551 | 0.1637077 | 70 | 1.550174 | 0.1505096 | 0.4327197 | 0.1085847 | 100 | 0.8022496 | 0.1029645 | 0.1910671 | 0.03691258 |
| α = 5.457197 β = 3.558804 | 50 | 1.190428 | 0.2059653 | 0.4247818 | 2.342903 | 70 | 0.8619716 | 0.1373483 | 0.2461313 | 2.341802 | 100 | 0.4419579 | 0.08574337 | 0.04261996 | 2.333286 |
| α = 6.457197 β = 2.558804 | 50 | 2.518832 | 0.09526091 | 0.7185321 | 0.1320379 | 70 | 1.728531 | 0.09429495 | 0.4747864 | 0.07025322 | 100 | 0.8006676 | 0.04351014 | 0.1573213 | 0.01418112 |
| α = 4.557197 β = 4.558804 | 50 | 0.9564051 | 0.2857103 | 0.2557071 | 0.1324175 | 70 | 0.3593258 | 0.2089236 | 0.08780059 | 0.04002267 | 100 | 0.2750382 | 0.14968 | 0.02739781 | 0.01301724 |
| α = 6.557197 β = 1.558804 | 50 | 3.244032 | 0.04392251 | 0.5185741 | 0.03279788 | 70 | 1.495698 | 0.02470381 | 0.3520218 | 0.02578572 | 100 | 0.9790736 | 0.01922724 | 0.09188152 | 0.02093735 |
| α = 5.557197 β = 7.558804 | 50 | 2.067219 | 0.9272915 | 0.5047117 | 0.2639728 | 70 | 0.9708544 | 0.7031859 | 0.3088091 | 0.2101214 | 100 | 0.7753223 | 0.372835 | 0.2578149 | 0.1197992 |
| α = 2.557197 β = 7.558804 | 50 | 0.1693338 | 1.094077 | 0.1063671 | 0.3148875 | 70 | 0.08930482 | 0.4333755 | 0.08538295 | 0.1227512 | 100 | 0.06259663 | 0.3701105 | 0.02511625 | 0.03947369 |
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