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Communications in Statistics - Simulation and Computation Volume 21, 1992 - Issue 2
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Original Articles

The computer generation of bivariate binomial variables with given marginals and correlation

S. H. Ong Department of Mathematics, University of Malaya, Kuala Lumpur, Malaysia, 59100
Pages 285-299 | Received 01 May 1990, Published online: 27 Jun 2007

References

  • Aitken , A. C. and Gonin , H. T. 1935 . On fourfold sampling with and without replacement . Proc. Royal Soc. Edin. , 55 : 114 – 125 .
  • Devroye , L. 1986 . Non-uniform Random Variate Generation , New York : Springer Verlag .
  • Downton , F. 1970 . Bivariate exponential distribution in reliability theory . J. Roy. Statist. Soc , B32 : 408 – 417 .
  • Edwards , C.B. and Gurland , J. 1961 . A class of distributions applicable to accidents . J. Amer. Statist. Ass , 56 : 503 – 517 .
  • Kemp , A.W. 1979 . Convolutions involving binomial pseudovariables . Sankhya , 41 : 232 – 243 .
  • Kemp , C.D. 1986 . A modal method for generating binomial variables . Commun. Statist , 15 : 805 – 813 .
  • Kemp , C.D. and Kemp , A.W. 1987 . Rapid generat ion of frequency tables . Appl. Statist , 36 : 277 – 282 .
  • Kemp , C.D. and Loukas , S. 1978 . The computer generation of bivariate discrete random variables . J.R. Statist. Soc , 141 : 513 – 519 .
  • Kemp , C.D. and Loukas , S. 1981 . “ Fast methods for generating bivariate discrete random variables ” . In Statistical Distri- butions in Scientific Work , Edited by: Taillie , C. Vol. 4 , 313 – 319 . Reidel : Dordrecht .
  • Lampard , D.G. 1968 . A stochastic process whose successive intervals between events form a first order Markov chain-I . J. Appl . Prob , 5 : 648 – 668 .
  • Loukas , S. and Kemp , C.D. 1986 . The computer generation of bivariate binomial and negative binomial random variables . Commun. Statist , 15 : 15 – 25 .
  • Mardia , K V. 1970 . Families of Bivariate Distributions , London : Griffin .
  • Nelsen , R.B. 1987 . Discrete bivariate distributions with given marginals and correlation . Commun. Statist , 16 : 199 – 208 .
  • Ong , S.H. and Lee , P.A. 1986 . Bivariate non-central negative binomial distribution :Another generalization . Metrika , 33 : 29 – 46 .
  • Rice , S.O. 1944 . Mathematical analysis of random noise . Bell Sys. Tech. J , 23 : 282 – 332 .
  • Subrahmaniam , K. 1966 . A test of 'intrinsic correlation' in the theory of accident proneness . J. Roy. Statist. Soc , 28 : 180 – 189 .

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