Table 1 Hazard function of BDETE distribution for combination values of \(p, \omega\) and \(\beta\).

From: Binomial-discrete Erlang-truncated exponential mixture and its application in cancer disease

  

\(\omega\)=0.1

\(\omega\)=0.25

\(\omega\)=0.5

\(\omega\)=0.75

\(\omega\)=0.9

\(\beta =2\)

\(p=\) 0.1

0.9990

0.9934

0.9677

0.8861

0.7011

\(p=\) 0.25

0.9975

0.9836

0.9231

0.7568

0.4841

\(p=\) 0.5

0.9950

0.9677

0.8571

0.6087

0.3193

\(p=\) 0.75

0.9925

0.9524

0.8000

0.5091

0.2382

\(p=\) 0.9

0.9910

0.9434

0.7692

0.4636

0.2067

\(\beta =4\)

\(p=\) 0.1

1.0000

0.9996

0.9934

0.9558

0.8398

\(p=\) 0.25

1.0000

0.9990

0.9836

0.8963

0.6771

\(p=\) 0.5

0.9999

0.9980

0.9677

0.8121

0.5118

\(p=\) 0.75

0.9999

0.9971

0.9524

0.7423

0.4114

\(p=\) 0.9

0.9999

0.9965

0.9434

0.7059

0.3680

\(\beta =8\)

\(p=\) 0.1

1.0000

1.0000

0.9996

0.9890

0.9297

\(p=\) 0.25

1.0000

1.0000

0.9990

0.9729

0.8411

\(p=\) 0.5

1.0000

1.0000

0.9980

0.9473

0.7257

\(p=\) 0.75

1.0000

1.0000

0.9971

0.9230

0.6382

\(p=\) 0.9

1.0000

1.0000

0.9965

0.9090

0.5952