One theorem on the rate of convergence in the central limit theorem

Convergence rates for the central limit theorem.

On a Bound for the Rate of Convergence in the Multidimensional Central Limit Theorem

In recent years many papers concerned with estimation of the rate of convergence in the central limit theorem in Rk have appeared (see [1], [2], [6]-[8], [10], [13]-[16]). They have significantly extended our knowledge in this area. We shall mention here two recent results which are most closely related to the estimate obtained in the present paper. V. Rotar [14], applying the method of charact...

The Edgeworth Expansion and Convergence in the Central Limit Theorem

For regularity of φ, proceed by induction, write the derivative difference quotient, use the mean value theorem on the corresponding integrand and apply LDCT. • Corollary 1 If X has m finite moment and law μ, then φ(ξ) = ∫ R e (ix)dμ(x) for k ≤ m. • Theorem 2 If S = ∑n k=1 Xk where {Xk} are independent with c.f.’s φk the c.f. of S, φ satisfies φ = ∏n k=1 φk. Proof: The law of S is the n-fold co...

Central Limit Theorem in Multitype Branching Random Walk

A discrete time multitype (p-type) branching random walk on the real line R is considered. The positions of the j-type individuals in the n-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.

the u.s. policy in central asia and its impact on the colored revolutions in the region (the case study of tulip revolution in kyrgyzstan)

چکیده ندارد.