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Table 3. Power estimates of the statistic \( \hat{\Delta }(s) \)

From: Testing exponentiality against renewal new better than used in Laplace transform order: applications in reliability

Distribution

Parameter θ

Sample size

n = 10

n = 20

n = 30

LFR

2

1.0000

1.0000

1.0000

3

1.0000

1.0000

1.0000

4

1.0000

1.0000

1.0000

Weibull

2

1.0000

1.0000

1.0000

3

1.0000

1.0000

1.0000

4

1.0000

1.0000

1.0000

Gamma

2

0.9858

0.9938

0.9999

3

0.9986

0.9998

1.0000

4

0.9998

1.0000

1.0000