Moreover, asymptotic expressions of the finite sums of powers of binomial coefficients for these numbers are given. Some numeric values of these asymptotic expressions are illustrated by the tables. Finally, some inequalities for these numbers are given.KILAR, NESLIHAN...
3.Using Euler —Maclaurin summation formula, we get the general re sults for asymptotic estimations of finite sums.本文利用Euler— Maclaurin求和公式得到了有限和渐近估计的一般结果,作为特 例,改进和推广了华罗庚[1]的两个有广泛应用的定理,还给出了某些有趣的应用。 4)asymptotic formulae渐近估计 1.On ...
By using multiplier-enlargement,the asymptotic estimation of approximation of unbounded continous functions with positive linear operaters is discussed, with general asymptotic formulae given. 利用扩展乘数法讨论了线性正算子改造为逼近无界连续函数的渐近估计,给出了具有一般性的渐近 公式。 3. By using of ...
Let $(S_n, n\\ge 1)$ be a random walk satisfying $ES_1>0$ and $h$ be a Laplace transform of a non-negative finite measure on $(0, \\infty)$. Under additional conditions of $S_1$ and $h$, we consider the asymptotic behavior of $Eh(\\sum_{... Hirano,Katsuhiro - 《Journ...
The following sections are included:PreliminariesOrders of magnitudeRiemann sumsPermanence principlesMass and tail of a random variableAsymptotic properties of the binomial coefficientsExercisesdoi:10.1142/9789812779229_0002IMME van den BERGWorld Scientific Publishing Co. Pte. Ltd....
On the asymptotic independence of the sum and rare values of weakly dependent stationary random variables. Stochastic Processes andTheirApplications 60 - Hsing - 1995 () Citation Context ... that (i) sums of stationary and strong mixing sequences are asymptotically normal; further, (ii) these ...
MUTUALLY UNBIASED BASES, GAUSS SUMS AND THE ASYMPTOTIC EXISTENCE OF BUTSON HADAMARD MATRICES (Research on finite groups and their representations, vertex operator algebras, and algebraic combinatorics) SZOLLOSI FERENC RIMS Kokyuroku 1872, 39-48, 2014-01 关键词: MSC: 05B20 46L10 Complex Hadamard mat...
Sums of Independent Random Variables No abstract received. J Jacod,P Protter - Springer-Verlag 被引量: 333发表: 1975年 A generalization of the Lindeberg principle We generalize Lindeberg's proof of the central limit theorem to an invariance principle for arbitrary smooth functions of independent and...
multivariate simple linear regression modelLet {Xni,(F)ni;1 ≤ i ≤ n,n ≥ 1} be an array of Rd martingale difference random vectors and{Ani,1 ... WU Yi,XJ Wang - 数学学报(英文版) 被引量: 0发表: 2024年 Finite sample performance of linear least squares estimation We analyze a sub...
The asymptotic behavior of product of the partial sums from a sequence of independent and identically distributed positive random variables have been studi... LY Qi - 《Statistics & Probability Letters》 被引量: 119发表: 2004年 FINITE RANK BRATTELI DIAGRAMS: STRUCTURE OF INVARIANT MEASURES. We fur...