Table 1 Explicit constants for Example 4.1
From: Local limit theorems without assuming finite third moment
α | \(A_{1}\) | \(A_{2}\) | \(A_{3}\) | \(A_{4}\) | \(A_{5}\) |
|---|---|---|---|---|---|
0.1 | 815,329.3725 | 30,707.0472 | 7.8702⋅10−11 | 510,995.2818 | 4.7281⋅10−12 |
0.2 | 3830.6039 | 131.7570 | 4.2748⋅10−6 | 2192.5659 | 2.5681⋅10−7 |
0.3 | 709.0199 | 22.0903 | 1.5207⋅10−4 | 367.6043 | 9.1360⋅10−6 |
0.4 | 332.9755 | 9.2986 | 8.5826⋅10−4 | 154.7385 | 5.1561⋅10−5 |
0.5 | 230.5188 | 5.6875 | 2.2941⋅10−3 | 94.6455 | 1.3782⋅10−4 |
0.6 | 198.0421 | 4.2260 | 4.1553⋅10−3 | 70.3248 | 2.4963⋅10−4 |
0.7 | 199.3648 | 3.5533 | 5.8776⋅10−3 | 59.1302 | 3.5310⋅10−4 |
0.8 | 237.4348 | 3.3064 | 6.7879⋅10−3 | 55.0225 | 4.0779⋅10−4 |
0.9 | 384.3726 | 3.5196 | 5.9908⋅10−3 | 58.5688 | 3.5990⋅10−4 |