Table 6 Parameters estimates, −log (L), k-s test value and p-value for the selected distributions of the leukemia 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 | \(\widehat{p}=0.1128\) | \(\widehat{\theta }=0.00443\) | – | 127.54 | 33.05 | 0.1030 |
NB | \(\widehat{p}=0.03907\) | \(\widehat{r}=1.02983\) | – | 127.54 | 33.42 | 0.0954 |
DETE | \(\widehat{p}=0.4595\) | \(\widehat{\beta }=0.0497\) | – | 127.55 | 33.07 | 0.1030 |
DEETE | \(\widehat{\alpha }=1.582\) | \(\widehat{p}=0.9753\) | \(\widehat{\beta }=1.608\) | 127.55 | 33.91 | 0.0863 |
DKw_ETE | \(\widehat{\alpha }=1.471\) \(\widehat{\theta }=0.1169\) | \(\widehat{p}=0.0042\) | \(\widehat{\beta }=0.0648\) | 127.20 | 38.12 | 0.0337 |
BDETE (proposed) | \(\widehat{p}=0.5394\) | \(\widehat{\omega }=0.2728\) | \(\widehat{\beta }=0.0162\) | 127.24 | 33.01 | 0.1038 |
