Table 19 The simulation study for the two sets when censoring percentage equal 0.5.

From: A new family of alpha power-G using cosine function with applications and regression modeling

Censoring percentage

n

Parameter

set1

set2

Estimate

MSE

Estimate

MSE

0.5

60

\(\nu _{0}\)

0.4908

0.4956

1.1532

0.6409

\(\nu _{1}\)

0.8780

1.2503

0.0742

1.5283

\(\sigma\)

2.7860

0.4182

3.4680

0.7443

\(\alpha\)

3.3774

1.8236

4.9208

1.7385

120

\(\nu _{0}\)

0.4912

0.2990

1.1639

0.3785

\(\nu _{1}\)

1.0002

0.7021

0.0992

0.9056

\(\sigma\)

2.9351

0.1962

3.6699

0.3721

\(\alpha\)

3.3147

1.6880

4.7730

1.5874

250

\(\nu _{0}\)

0.5270

0.1904

1.1966

0.1913

\(\nu _{1}\)

0.9994

0.3594

0.0643

0.4269

\(\sigma\)

3.0530

0.1006

3.7983

0.1898

\(\alpha\)

3.2328

1.2982

4.8114

1.2527

350

\(\nu _{0}\)

0.5140

0.1623

1.2123

0.1629

\(\nu _{1}\)

1.0455

0.2332

0.0560

0.3377

\(\sigma\)

3.0999

0.0730

3.8649

0.1405

\(\alpha\)

3.1935

1.1863

4.7544

1.0682

500

\(\nu _{0}\)

0.5454

0.1255

1.1890

0.1316

\(\nu _{1}\)

1.0210

0.1800

0.0725

0.2236

\(\sigma\)

3.1104

0.0535

3.9280

0.0908

\(\alpha\)

3.1907

1.0076

4.8057

0.9639