Article Sidebar

Submitted
Apr 14, 2017
Published
Dec 1, 2000
Download
PDF
Statistic
Read Counter : 391 Download : 248

Main Article Content

Abstract

 In this paper we introduce a modification of the hypergeometric distribution that caters for the case when the sampling scheme favours the inclusion of units of one of the two types involved, as opposed to the hypergeometric distribution under which all samples are equally likely. The properties of the resulting distribution, termed the generalized hypergeometric, are studied, including the derivation and numerical assessment of a normal approximation of the distribution.

Keywords

Hypergeometric Distribution Recurrence Relations Normal Approximation.

Article Details

References

  1. DUNSTAN, F. D. J. and REYNOLDS, J. F. 1981. Normal Approximations for Distributions Arising in the Stochastic Approach to Chemical Reactions Kinetics. J. Appl. Prob. 18: 263-267.
  2. ELSHEIKH, E. K. 1997. Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions. Sultan Qaboos University Journal for Scientific Research – Science and Technology. 2: 77-85.
  3. FORMOSINHO, S. J. and MIGUEL, M. DA G. M. 1979. Markov Chains for Plotting the Course of Chemical Reactions. J. Chem. Education 56: 582-585.
  4. HALL, A. 1983. On the Roles of the Bessel and Poisson Distributions in Chemical Reactions Kinetics. J. Appl. Prob. 20: 585-595.
  5. JOHNSON, N. L. and KOTZ, S. 1969. Discrete distributions. John Wiley & Sons. New York.
  6. McQUARRIE, D. A. 1967. Stochastic Approach To Chemical Kinetics. J. Appl. Prob. 4: 413-478.
  7. TUCKWELL, H. C. 1995. Elementary Applications of Probability Theory. Chapman & Hall. New York.