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Table 2 0−1 HMC1 sequence with p 00=p 11=0.9, \(p_{1}^{(1)}=0.5\)

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

0.00914441

0.00872875

0.00831310

0.00789744

0.00748179

0.03366804

3

2

 

0.01745750

0.01662619

0.01579488

0.01496357

0.06733609

 

3

  

0.00010263

0.00019500

0.00027710

0.00166262

4

2

  

0.02493929

0.02369233

0.02244536

0.10100413

 

3

   

0.00029250

0.00055421

0.00374089

 

4

    

0.00000114

0.00001539

5

2

   

0.03158977

0.02992715

0.13467217

 

3

    

0.00055421

0.00498786

 

4

     

0.00002053

6

2

    

0.03740894

0.16834021

 

3

     

0.00415655

7

2

     

0.20200826

f 8,1(d)

 

0.00914441

0.02618626

0.04998121

0.07946192

0.11361346

0.72161274

v 8,2(d,m,s)

4

2

  

0.02225160

0.02081956

0.01806565

0.08228685

5

2

   

0.04163913

0.03569068

0.16259088

6

2

    

0.05353602

0.24091210

 

3

     

0.00099141

7

2

     

0.32121613

f 8,2(d)

   

0.02225160

0.06245869

0.10729236

0.80799735

v 8,3(d,m,s)

6

2

    

0.06896552

0.31034483

7

2

     

0.62068966

f 8,3(d)

     

0.06896552

0.93103448