The paper gives a wide range, uniform, local approximation of symmetric binomial distribution. The result clearly shows how one has to modify the classical de Moivre-Laplace normal approximation in order to give an estimate at the tail as well as to minimize the relative error.
机构:
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya 35, Kazan, TatarstanChair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya 35, Kazan, Tatarstan
Gumerov R.N.
Vidunov S.I.
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Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya 35, Kazan, TatarstanChair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya 35, Kazan, Tatarstan
机构:
Chongqing Univ, Coll Math & Stat, Dept Stat & Actuarial Sci, Chongqing, Peoples R ChinaChongqing Univ, Coll Math & Stat, Dept Stat & Actuarial Sci, Chongqing, Peoples R China
Zhang, Ying-Ying
Rong, Teng-Zhong
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Chongqing Univ, Coll Math & Stat, Dept Stat & Actuarial Sci, Chongqing, Peoples R ChinaChongqing Univ, Coll Math & Stat, Dept Stat & Actuarial Sci, Chongqing, Peoples R China
Rong, Teng-Zhong
Li, Man-Man
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Chongqing Univ, Coll Math & Stat, Dept Stat & Actuarial Sci, Chongqing, Peoples R ChinaChongqing Univ, Coll Math & Stat, Dept Stat & Actuarial Sci, Chongqing, Peoples R China