Table 6 The coverage probability and coverage length of \(\alpha , \eta\), and \(\theta\) for set I.

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

n

Parameter

Coverage probability

Length

n=165

\(\alpha\)

0.8500

0.0155

\(\eta\)

0.8385

1.6153

\(\theta\)

0.9292

0.7178

n=200

\(\alpha\)

0.8617

0.1415

\(\eta\)

0.8480

4.5069

\(\theta\)

0.9300

0.7351

n=300

\(\alpha\)

0.8719

0.1202

\(\eta\)

0.8677

3.7172

\(\theta\)

0.9375

0.5381

n=500

\(\alpha\)

0.8599

0.1726

\(\eta\)

0.8713

2.4259

\(\theta\)

0.9480

0.4033

n=700

\(\alpha\)

0.8831

0.1757

\(\eta\)

0.8924

2.6463

\(\theta\)

0.9357

0.3796