Table 5 Parameters estimates, −log (L), k-s test value and p-value for the selected distributions of the tongue cancer patient’s data set.
From: Binomial-discrete Erlang-truncated exponential mixture and its application in cancer disease
Distribution | Distribution’s parameters | −Log(L) | k-s | p-value | ||
|---|---|---|---|---|---|---|
BG | \(\widehat{p}=0.1236\) | \(\widehat{\theta }=0.00246\) | – | 157.5224 | 23.69 | 0.5935 |
NB | \(\widehat{p}=0.01965\) | \(\widehat{r}=1.0025\) | – | 157.5224 | 23.71 | 0.5922 |
DETE | \(\widehat{p}=0.4672\) | \(\widehat{\beta }=0.02600\) | – | 157.5224 | 23.69 | 0.5933 |
DEETE | \(\widehat{\alpha }=0.999\) | \(\widehat{p}=0.98476\) | \(\widehat{\beta }=1.289\) | 157.5224 | 23.69 | 0.5938 |
DKw_ETE | \(\widehat{\alpha }=0.389\) \(\widehat{\theta }=0.0922\) | \(\widehat{p}=0.3754\) | \(\widehat{\beta }=0.1997\) | 158.1346 | 23.14 | 0.5904 |
BDETE (proposed) | \(\widehat{p}=0.54021\) | \(\widehat{\omega }=0.2856\) | \(\widehat{\beta }=0.0858\) | 157.487 | 23.12 | 0.5960 |
