The Stein-Tikhomirov Method and Berry-Esseen Inequality for Sampling Sums from a Finite Population of Independent Random Variables

Author:

Formanov Shakir K.,Formanova Tamara A.

Publisher

Springer Berlin Heidelberg

Reference12 articles.

1. Bikelis, A.: On the estimation of the remainder term in the central limit theorem for samples from finite populations. Studia Sci. Math. Hungar. 4, 345–354 (1969)

2. Bolthausen, E.: An estimate of the remainder in a combinatorial limit theorem. Z. Wahr. Verw. Geb. 66, 379–386 (1984)

3. Linnik, Yu.I., Ostrovskii, I.V.: Expansions of Random Variables and Vectors [in Russian]. Nauka, Moscow (1972)

4. Liptser, R.Sh., Shiryaev, A.N.: Martingale Theory [in Russian]. Nauka, Moscow (1986)

5. Petrov, V.: Limit Theorems for Sums of Independent Random Variables [in Russian]. Nauka, Moscow (1987)

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