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Table 1 Critical values of \(\hat{\Delta }_{{U_{{\text{L}}} }}\)

From: Nonparametric Test for a class of Lifetime Distribution UBAC(2) Based on the Laplace Transform

n

1%

5%

10%

90%

95%

99%

5

 − 0.295886

 − 0.207452

 − 0.160331

0.170163

0.217285

0.305718

10

 − 0.214839

 − 0.152308

 − 0.118988

0.114707

0.148027

0.210559

15

 − 0.174203

 − 0.123146

 − 0.0959403

0.0948708

0.122076

0.173133

20

 − 0.152911

 − 0.108695

 − 0.085134

0.0801133

0.103674

0.14789

25

 − 0.134738

 − 0.0951898

 − 0.0741165

0.0736852

0.0947585

0.134307

30

 − 0.128788

 − 0.0926854

 − 0.0734482

0.0614756

0.0807128

0.116815

35

 − 0.112569

 − 0.0791448

 − 0.0613346

0.0635806

0.0813908

0.114815

40

 − 0.108597

 − 0.0773309

 − 0.060671

0.0561765

0.0728364

0.104102

45

 − 0.0958797

 − 0.066402

 − 0.0506949

0.05947

0.0751771

0.104655

50

 − 0.0930731

 − 0.065108

 − 0.050207

0.0543046

0.0692056

0.0971706

55

 − 0.0917535

 − 0.06509

 − 0.0508824

0.0487655

0.0629731

0.0896367

60

 − 0.0866307

 − 0.0611023

 − 0.0474995

0.047906

0.0615088

0.0870372

65

 − 0.0865124

 − 0.0619855

 − 0.0489164

0.0427463

0.0558154

0.0803424

70

 − 0.0831569

 − 0.0595222

 − 0.0469285

0.0413999

0.0539936

0.0776284

75

 − 0.0819245

 − 0.0590911

 − 0.0469245

0.0384089

0.0505755

0.0734089

80

 − 0.0739367

 − 0.0518285

 − 0.0400481

0.0425755

0.0543558

0.0764641

90

 − 0.0696858

 − 0.0488419

 − 0.0377353

0.040163

0.0512696

0.0721135

100

 − 0.0648092

 − 0.0450349

 − 0.0344983

0.0394026

0.0499392

0.0697135