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Table 2 Upper bounds for : Vaggelatou (V) and Adell et al. (A).

From: The Kolmogorov Distance between the Binomial and Poisson Laws: Efficient Algorithms and Sharp Estimates

V

A

0.6

20

0.0054116

0.0059268

 

50

0.0020499

0.0021122

 

100

0.0010063

0.0010199

 

200

0.0004985

0.0005017

 

500

0.0001983

0.0001988

 

1000

0.0000990

0.0000991

0.9

20

0.0098476

0.0103392

 

50

0.0035463

0.0035676

 

100

0.0017095

0.0017106

 

200

0.0008390

0.0008388

 

500

0.0003318

0.0003317

 

1000

0.0001653

0.0001653

1

20

0.0114410

0.0117428

 

50

0.0040305

0.0040086

 

100

0.0019267

0.0019162

 

200

0.0009415

0.0009382

 

500

0.0003714

0.0003708

 

1000

0.0001848

0.0001847

2

20

0.0367148

0.0228808

 

50

0.0090741

0.0065533

 

100

0.0036183

0.0029671

 

200

0.0015808

0.0014156

 

500

0.0005777

0.0005510

 

1000

0.0002798

0.0002731