Table 10 MLEs, SE (in parentheses) for the four data sets.
From: A new family of alpha power-G using cosine function with applications and regression modeling
Distribution | Paramater | MLEs and SE in () | |||
|---|---|---|---|---|---|
First data | Second data | Third data | Fourth data | ||
CAP-W | \(\alpha\) | 0.4470 (0.8121) | 0.0326 (0.0647) | 0.0569 (0.0958) | 0.3041 (0.2924) |
\(\eta\) | 0.0755 (0.0765) | 0.1632 (0.0941) | 0.0059 (0.0028) | 0.0383 (0.0213) | |
\(\theta\) | 1.1602 (0.2151) | 0.9290 (0.1049) | 0.8788 (0.0736) | 0.7487 (0.0675) | |
GAPW | \(\alpha\) | 0.0046 (0.0076) | 2.1547 (0.5019) | 0.9530 (2.795e-01) | 0.0024(0.0012) |
\(\gamma\) | 0.7004 (0.0946) | 1.0999 (0.1243) | 1.1410 (2.858e-02) | 0.4184 (0.0263) | |
\(\theta\) | 0.5178 (0.1637) | 0.1214 (0.0446) | 0.0020 (5.853e-05) | 0.4417(0.0599) | |
APW | \(\alpha\) | 0.1027 (0.1348) | 0.0281 (0.0526) | 0.1174 (0.1265) | 0.1393 (0.0968) |
\(\lambda\) | 0.0086 (0.0045) | 0.0697 (0.0395) | 0.0024 (0.0004) | 0.0057 (0.0015) | |
\(\beta\) | 1.6930 (0.1168) | 1.1868 (0.1375) | 1.0134 (0.0592) | 1.0212 (0.0438) | |
NCW | \(\alpha\) | 0.1034 (0.0218) | 0.5058 (0.0878) | 0.0260 (0.0112) | 0.0670 (0.0117) |
\(\beta\) | 1.0969 (0.0799) | 0.7599 (0.0828) | 0.7448 (0.0761) | 0.6840 (0.0362) | |
SX | \(\theta\) | 0.0572 (0.0053) | 0.1386 (0.0209) | 0.0026 (0.0003) | 0.0060 (0.0004) |
