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Table 2 Explicit constants for Example 4.2

From: Local limit theorems without assuming finite third moment

α

\(B_{1}\)

\(B_{2}\)

\(B_{3}\)

\(B_{4}\)

\(B_{5}\)

0.1

0.0120

5.6822â‹…108

351,302.9406

1.9714⋅10−11

2.5683⋅10−12

0.2

0.0147

2.6676â‹…106

1525.1266

1.0460⋅10−6

1.3627⋅10−7

0.3

0.0181

4.9135â‹…105

257.4494

3.6709⋅10−5

4.7821⋅10−6

0.4

0.0225

2.2850â‹…105

108.5686

2.0641⋅10−4

2.6891⋅10−5

0.5

0.0282

1.5570â‹…105

66.1785

5.5555⋅10−4

7.2372⋅10−5

0.6

0.0355

1.3065â‹…105

48.7213

1.0249⋅10−3

1.3353⋅10−4

0.7

0.0451

1.2714â‹…105

40.3174

1.4968⋅10−3

1.9500⋅10−4

0.8

0.0576

1.4431â‹…105

36.6187

1.8144⋅10−3

2.3638⋅10−4

0.9

0.0741

2.1802â‹…105

37.6321

1.7180⋅10−3

2.2382⋅10−4