The Central Limit Theorem for Sums

... convergence rate in the central limit theorem for the total magnetization in the Curie- Weiss- Potts model for high temperature Theorem 4.0.1 For the Curie- Weiss- Potts model, let Sn be the sum of the spin ... will introduce the Curie- Weiss- Potts model, including the Ising model and the Curie- Weiss model Then we will give some...

Ngày tải lên: 03/10/2015, 21:57

... almost sure central limit theorem for the product of partial sums, ” Applied Mathematics Letters, vol 19, pp 191–196, 2004 J S Jin, “An almost sure central limit theorem for the product of partial sums ... Utev, Central limit theorem for linear processes,” The Annals of Probability, vol 25, no 1, pp 443–456, 1997 F Jonsson, Almost Sure Cent...

Ngày tải lên: 21/06/2014, 05:20

... maximum of stationary a Gaussian sequences,” Statistics & Probability Letters, vol 58, no 2, pp 195–203, 2002 S Chen and Z Lin, Almost sure max-limits for nonstationary Gaussian sequence,” Statistics ... non-stationary Gaussian sequence Main Result Throughout this paper, let {Xn ; n ≥ 1} be a non-stationary standardized normal sequence, Var Sn Here a b and a ∼ b stand fo...

Ngày tải lên: 21/06/2014, 07:20

... 11] The results on the central limit for jump Markov processes obtained in this paper are quite new Central Limit for the Functional of Markov Sequence Let us consider a Markov sequence {Xn , ... for any initial distribution Now we state and prove the main theorem as follows Central Limit Theorem for Functional of Jump Markov Processes 459 Theorem...

Ngày tải lên: 06/08/2014, 05:20

... A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law Qunying Wu1,2 College of Science, Guilin University ... establish the ASCLT for self-normalized partial sums of random variables in the domain of attraction of the normal law,...

Ngày tải lên: 20/06/2014, 21:20

... Subhankar Lp bounds for a central limit theorem with involutions Available at http://arxiv.org/abs/0905.1150 [7] Goldstein, Larry Berry- Esseen bounds for combinatorial central limit theorems and ... H Y An Lp bound for the remainder in a combinatorial central limit theorem Ann Probab (1978), no 2, 231–249 [11] Hoeffding, Wassily A combinatorial centr...

Ngày tải lên: 16/10/2015, 09:13

... negatively dependent random variables,” Pakistan Journal of Statistics, vol 21, no 3, pp 257–264, 2005 H R Nili Sani, M Amini, and A Bozorgnia, Strong laws for weighted sums of negative dependent random ... Netherlands, 1996 M Amini, Some contribution to limit theorems for negatively dependent random variable, Ph.D thesis, 2000 V Fakoor and H A Azarnoosh, “P...

Ngày tải lên: 21/06/2014, 07:20

Ngày tải lên: 05/08/2014, 09:46

... CENTRAL LIMIT THEOREM OF LINEAR SPECTRAL STATISTICS FOR LARGE DIMENSIONAL RANDOM MATRICES WANG XIAOYING (B.Sc Northeast Normal University, China) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF ... transform method, under suitable moment conditions, we prove the central limit theorem (CLT) of LSS with a generalized regular class C of the kernel functions...

Ngày tải lên: 12/09/2015, 09:39

... of the map follows from the local converse theorem for SO2n+1 (Theorem 1.2) The uniqueness of such a map follows from the local converse theorem for GLn (Theorem 1.1) It remains to show that the ... representations of SO(2n+1) The idea of the proof is to transfer the local converse theorem for GL2n (k) to SO2n+1 (k) by combining various liftings Th...

Ngày tải lên: 22/03/2014, 15:21

... 3-colorable Moreover, it is easy to use the 5-coloring of G from the proof of Lemma 2.3 (by possibly permuting the colors) so that the corresponding strong 3-coloring of H(G) is an extension of ... 2-colorable This theorem relies on the 4-Color Theorem So, it would be an interesting problem to find a direct proof of Theorem 2.5 Kratochv´ (private communication) proved...

Ngày tải lên: 07/08/2014, 06:20

... distance-regular if each vertex has at least one vertex at distance d and its distance-d adjacency matrix Ad is a polynomial of degree d in the adjacency matrix A This result is halfway towards the spectral ... The spectral excess theorem We are ready now for the spectral excess theorem We shall state and prove it in a bit stronger form than earlier stated Theorem Le...

Ngày tải lên: 07/08/2014, 21:20

... This completes the proof of Theorem 1.1 References [1] G Dethloff and T V Tan and D D Thai, An extension of the CartanNochka second main theorem for hypersurfaces, Internat J Math 22 (2011), ... are taken in to the account of counting functions) Motivated by the case of hyperplanes, in this paper we generalize Theorem B to the case of arbitrary hypersurfaces,...

Ngày tải lên: 14/10/2015, 08:23

... 11 215 220 225 230 The distribution of the sample mean and the central limit theorem An empirical investigation The central limit theorem states that if a large sample of size n is selected from ... σ n Central limit theorem - Examples Example A large freight elevator can transport a maximum of 9800 pounds Suppose a load of cargo containing 49 boxes must be transported via t...

Ngày tải lên: 08/06/2016, 14:21

... No crisis countries 0% 0% 2007 2007 2011 banking supervision in the central bank banking supervision outside of the central bank 2011 banking supervision in the central bank banking supervision ... effects from placing bank supervision in the central bank materialize only in certain country circumstances To examine this hypothesis, we interact...

Ngày tải lên: 29/08/2016, 08:24