Table 14 Coefficients and MSEs of Estimators for the Australian Institute of Sports Data.
Estimates | Parameters | \(\beta _0\) | \(\beta _1\) | \(\beta _2\) | \(\beta _3\) | \(\beta _4\) | \(\beta _5\) | \(\beta _6\) | \(\beta _7\) | \(\beta _8\) | \(\beta _9\) | \(\beta _{10}\) | MSE |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
PIGMLE | – | 8.4170 | 0.0652 | − 0.0352 | − 0.0224 | − 0.0534 | 0.0115 | 0.0224 | 0.0164 | − 0.0392 | 0.1340 | − 0.0269 | 103.5890 |
PIGRRE | \(\hat{k}_1\) | 5.9212 | 0.0651 | − 0.0213 | − 0.0395 | 0.0022 | 0.0113 | 0.0239 | 0.0163 | − 0.0394 | 0.1337 | − 0.0266 | 57.6193 |
\(\hat{k}_2\) | 3.4255 | 0.0650 | − 0.0074 | − 0.0566 | 0.0579 | 0.0111 | 0.0254 | 0.0161 | − 0.0395 | 0.1334 | − 0.0263 | 42.2953 | |
\(\hat{k}_3\) | 3.4269 | 0.0650 | − 0.0074 | − 0.0566 | 0.0578 | 0.0111 | 0.0254 | 0.0161 | − 0.0395 | 0.1334 | − 0.0263 | 42.2953 | |
\(\hat{k}_4\) | 0.0040 | 0.0309 | 0.0120 | − 0.0462 | 0.1160 | 0.0086 | 0.0033 | 0.0130 | 0.0014 | 0.0434 | − 0.0367 | 70.8322 | |
\(\hat{k}_5\) | 9.53e−05 | 0.0055 | 0.0157 | 0.0058 | 0.0021 | 0.0032 | 0.0005 | 0.0007 | 0.0042 | 0.0015 | 0.0006 | 70.8747 | |
PIGGRE | \(\hat{K}_1\) | 0.0006 | 0.0007 | 0.0053 | 0.0029 | 7.6e−06 | 0.0055 | 0.0083 | 0.0031 | 0.0640 | 0.0053 | − 0.0174 | 42.0372 |
\(\hat{K}_2\) | 0.0020 | 0.0020 | 0.0079 | − 0.0005 | 2.97e−05 | 0.0077 | 0.0031 | 0.0075 | 0.0529 | 0.0177 | − 0.0296 | 59.7067 | |
\(\hat{K}_3\) | 0.0068 | 0.0066 | 0.0091 | − 0.0057 | 0.0001 | 0.0086 | − 0.0078 | 0.0125 | 0.0365 | 0.0563 | − 0.0314 | 86.2329 | |
\(\hat{K}_4\) | 0.0008 | 0.0008 | 0.0060 | 0.0021 | 1.02e−05 | 0.0061 | 0.0075 | 0.0039 | 0.0618 | 0.0068 | − 0.0208 | 42.9759 | |
\(\hat{K}_5\) | 0.0078 | 0.0200 | 0.0090 | − 0.0183 | 0.0065 | 0.0090 | 0.0008 | 0.0130 | 0.0329 | 0.0529 | − 0.0257 | 67.0565 |