On asymptotic expansions in the domain of large deviations for binomial and Poisson distributions

Theory of Probability and its Applications

Volumn 43, Issue 1, 1998, Pages 89-98

  Timashev, A N ^a  

^a Academy of FSS   (Russian Federation)

Author keywords

Asymptotic expansion; Binomial distribution; Poisson distribution; Saddle point method

Indexed keywords

EID: 0032243256     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0040585x97976684     Document Type: Article

References (5)

1. I. N. SANOV, On probabilities of large deviations of random variables, Matem. Sb., 42 (1957), pp. 11-44 (in Russian).
2. A. N. TIMASHEV, Theorems on large deviations in the polynomial scheme of trials, Discrete Mathematics, 3 (1993), pp. 443-449.
3. M. A. EVGRAFOV, Asymptotic Estimates and Entire Functions, Gordon and Breach, New York, 1961.
4. F. W. J. OLVER, Introduction to Asymptotics and Special Functions, Academic Press, New York, London, 1974.
5. E. T. COPSON, Asymptotic Expansions, Cambridge, 1965.