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On generating a random sequence

Published online by Cambridge University Press:  14 July 2016

F. K. Hwang  and
S. Lin
F. K. Hwang
Affiliation:
Bell Telephone Laboratories, Murray Hill, New Jersey
S. Lin
Affiliation:
Bell Telephone Laboratories, Murray Hill, New Jersey
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Extract

Suppose there are k kinds of balls identical except for their colours. The number of balls of the ith colour is ri (i = 1, 2, ···, k) and Put down the R balls in a sequence (a line), then an acceptable sequence is one which does not have two adjacent balls of the same colour. The problem is to generate a random sample of the set of acceptable sequences S(r1, r2, ···, rk).

Type
Research Papers
Information
Journal of Applied Probability , Volume 8 , Issue 2 , June 1971 , pp. 366 - 373
Copyright
Copyright © Applied Probability Trust 1971 

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References

[1] Barton, D. E. and David, F. N. (1957) Multiple runs. Biometrika 44, 168–178.Google Scholar
[2] Mood, A. M. (1940) The distribution theory of runs. Ann. Math. Statist. 11, 367–392.Google Scholar