On the number of successes in dependent trials

Communications in Statistics - Theory and Methods

Volumn 25, Issue 8, 1996, Pages 1745-1756

  Vellaisamy, P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Dependent Bernoulli trials; Generalized binomial distributions; Poisson approximations; Poisson's binomial distribution

Indexed keywords

EID: 0007295566     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/036109296011877451     Document Type: Article

References (10)

1. Barbour, A.D. and Hall, P. (1984). On the rate of Poisson Convergence. Math. Proc. Comb. Phil. Soc., 95, 473-480.
2. Drezner, Z. and Farnum, N. (1993). A generalized binomial distribution. Commun. Statist. - Theory Meth., 22, 3051-3063
3. Edwards, A.W.F. (1960). The meaning of binomial distribution. Nature, 186, 1074.
4. Feller, W. (1968). An Introduction to Probability Theory and Its Applications. John Wiley, New York.
5. Nedelman, J. and Wallenius, T. (1986). Bernoulli trials, surprising variances, and Jensen's inequality. Amer. Statistician, 40, 286-289.
6. Serfling, R.J. (1975). A general Poisson approximation theorem. Ann. Probab. 3, 726-731.
7. Rutherford, R.S.G. (1954). On a contagious distribution. Ann. Math. Stat., 36, 1272-1278.
8. Samuels, S.M. (1965). On the number of successes in independent trials. Ann. Math. Stat., 36, 1272-1278.
9. Wang, Y.H. (1993). On the nember of successes in independent trials. Statistica Sinica, 3, 295-312.
10. Woodbury, M.A. (1949). On a probability distribution. Ann. Math. Stat., 20, 311-313.