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Table 1 0−1 IID sequence with p 1=0.5

From: Joint distribution of k-tuple statistics in zero-one sequences of Markov-dependent trials

s

m

d=3

d=4

d=5

d=6

d=7

d=8

v 8,1(d,m,s)

2

2

0.02739726

0.02283105

0.01826484

0.01369863

0.00913242

0.00456621

3

2

 

0.04566210

0.03652968

0.02739726

0.01826484

0.00913242

 

3

  

0.01826484

0.02739726

0.02739726

0.01826484

4

2

  

0.05479452

0.04109589

0.02739726

0.01369863

 

3

   

0.04109589

0.05479452

0.04109589

 

4

    

0.00913242

0.01369863

5

2

   

0.05479452

0.03652968

0.01826484

 

3

    

0.05479452

0.05479452

 

4

     

0.01826484

6

2

    

0.04566210

0.02283105

 

3

     

0.04566210

7

2

     

0.02739726

f 8,1(d)

 

0.02739726

0.06849315

0.12785388

0.20547945

0.28310503

0.28767123

v 8,2(d,m,s)

4

2

  

0.18518519

0.09259259

0.07407407

0.05555556

5

2

   

0.18518519

0.07407407

0.07407407

6

2

    

0.11111111

0.05555556

 

3

     

0.01851852

7

2

     

0.07407407

f 8,2(d)

   

0.18518519

0.27777778

0.25925925

0.27777778

v 8,3(d,m,s)

6

2

    

0.40000000

0.20000000

7

2

     

0.40000000

f 8,3(d)

     

0.40000000

0.60000000