Some Refinements of Large Deviation Tail Probabilities

Cramér, H.: 1938, Sur un nouveau théoréme-limite de la théorie des probabilités, Actualités Scientifiques et Industrielles

1938

Earlier work this paper cites.

Feller, W.: 1957, An Introduction to Probability and its Applications

1957

Earlier work this paper cites.

Blackwell, D. and Hodges, J. L.: 1959, The probability in the extreme tail of a convolution, Annals of Mathematical Statistics

1959

Earlier work this paper cites.

Bahadur, R. R.: 1960, Some approximations to the binomial distribution function. Annals of Mathematical Statistics

1960

Earlier work this paper cites.

Bahadur, R. R. and Rao, R. R.: 1960, On deviation of the sample mean. Annals of Mathematical Statistics

1960

Cited alongside, same era.

Littlewood, J. E.: 1969, On the probability in the tail of binomial distribution. Advanced Applied Probability

1969

Cited alongside, same era.

McKay, B. D.: 1989, On Littlewood’s estimate for the binomial distribution. Advanced Applied Probability

1989

Cited alongside, same era.

Talagrand, M.: 1995, The missing factor in Hoeffding’s inequality, Ann. Inst. Henri Poincare

1995

Cited alongside, same era.

Leon, C. A. and Perron, F.: 2003, Extremal properties of sums of Bernoulli random variables, Statistics and Probability Letters

2003

Later among the works it cites.

Reiczigel, J., Rejtő, L. and Tusnády, G.: 2011, A sharpning of Tusnády’s inequality. ArXiv 1110.3627v2

2011

Later among the works it cites.

Harremoës, P. and Tusnády, G.: 2012, Information divergence is more χ 2 \chi^{2} - distributed than the χ 2 \chi^{2} -statistic, 2012 IEEE International Symposium on Information Theory (ISIT 2012)

Original

2012

Closest in time.