Skip to main content

Advertisement

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