Table 7 Finding the value of K by maximizing the log-likelihood function for fitting the data of Table 6 by the multivariate ZTCS distribution
From: Multivariate zero-truncated/adjusted Charlier series distributions with applications
K | \(\hat {\pi }\) | \(\hat {\lambda }_{1}\) | \(\hat {\lambda }_{2}\) | Log-likelihood |
|---|---|---|---|---|
2 | 0.1220034 | 1.394314 | 1.600330 | −328.8195 |
3 | 0.1024329 | 1.326026 | 1.531414 | −328.1680 |
4 | 0.0869704 | 1.281892 | 1.486834 | −327.7241 |
5 | 0.0748624 | 1.252965 | 1.457593 | −327.4137 |
8 | 0.0517887 | 1.208834 | 1.412942 | −326.8897 |
9 | 0.0468272 | 1.200906 | 1.404915 | −326.7862 |
10 | 0.0427041 | 1.194675 | 1.398604 | −326.7022 |
14 | 0.0314939 | 1.179167 | 1.382890 | −326.4824 |
15 | 0.0295422 | 1.176680 | 1.380369 | −326.4453 |
20 | 0.0225358 | 1.168154 | 1.371725 | −326.3146 |
30 | 0.0152633 | 1.160049 | 1.363504 | −326.1831 |
50 | 0.0092682 | 1.153806 | 1.357169 | −326.0775 |
75 | 0.0062141 | 1.150805 | 1.354123 | −326.0247 |
100 | 0.0046735 | 1.149330 | 1.352626 | −325.9982 |
150 | 0.0031242 | 1.147871 | 1.351145 | −325.9718 |
250 | 0.0018786 | 1.146717 | 1.349972 | −325.9507 |
350 | 0.0013431 | 1.146225 | 1.349473 | −325.9416 |