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Table 1 The asymptotic relative efficiencies for our test versus δi, i = 1, 2, 3, 4

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

Test

Wiebull

LFR

Makeham

PARE (\( \hat{\Delta }(s),{\delta}_1 \))

4.682

2.113

1.198

PARE (\( \hat{\Delta }(s),{\delta}_2 \))

3.653

2.243

4.419

PARE (\( \hat{\Delta }(s),{\delta}_3 \))

2.771

1.71

0.937

PARE (\( \hat{\Delta }(s),{\delta}_4 \))

12.36

4.217

1.197