Table 7 The coverage probability and coverage length of \(\alpha , \eta\), and \(\theta\) for set II.

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

n

Parameter

Coverage probability

Length

n=165

\(\alpha\)

0.8571

0.5994

\(\eta\)

0.8735

1.7956

\(\theta\)

0.9291

0.8439

n=200

\(\alpha\)

0.8600

0.2562

\(\eta\)

0.8784

1.7062

\(\theta\)

0.9344

0.6481

n=300

\(\alpha\)

0.8718

0.0696

\(\eta\)

0.8828

1.0698

\(\theta\)

0.9299

0.51167

n=500

\(\alpha\)

0.8635

0.0188

\(\eta\)

0.8883

0.9743

\(\theta\)

0.9386

0.3602

n=700

\(\alpha\)

0.8734

0.0701

\(\eta\)

0.8883

0.8194

\(\theta\)

0.9431

0.3279