dependent laws of large numbers and central limit theorems

... strong laws of large numbers, ” Theory of Probability and Its Applications, vol 45, no 3, pp 436–449, 2002 C Nosz´ ly and T Tom´ cs, “A general approach to strong laws of large numbers for fields of ... Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related ´ rates of convergence,” Probability and Mathematical Statistics, vol 1, no 2, pp 117–131, 1981 10 I Fazekas and T Tom´ cs, “Strong laws of ... Theorem 2.6 and an example which illustrates Theorems 2.2, 2.3, and 2.6 Remark 2.7 By the same method as in the proof of Lemma of Moricz et al 16 and the ´ same arguments as in the proof of Theorem...

Ngày tải lên: 21/06/2014, 07:20

... properties of independent sequences of random variables remain satisfied for the sequences consisting of independent blocks However, the same problem for sequences of blockwise independent and identically ... is a strong law of large numbers for sequences of blockwise independent and identically distributed random variables Corollary 3.4 Let {Xi , i ≥ 1} be a sequence of blockwise independent (with ... classical Kolmogorov strong law of large numbers to the blockwise m-dependence case Later, the strong law of large numbers for arbitrary blockwise independent random variables was also studied...

Ngày tải lên: 06/08/2014, 05:20

... Tien / VNU Journal of Science, Mathematics - Physics 23 (2007) 159-167 163 Laws of large numbers of Hsu-Robbins type In the classical probability, the Hsu - Robbins law of large numbers is studied ... Hanoi References [1] C J K Batty, The strong laws of large numbers for states and for traces of a W ∗ algebra, Z W 48 (1979) 177 [2] R Jajte, Strong limit theorems in non-commutative probability Lect ... York-Tokyo 1985 [3] A Luczak, Laws of large numbers in von-Neumann algebras and related results, Studia Math 81 (1985) 231 [4] Nguyen Van Quang, Convergence of Sums of Independent Operators in von...

Ngày tải lên: 13/02/2014, 04:20

... n=1 m=1 n=1 and we see from (5.1) that (4.2) fails 11 (5.1) References [1] Rosalsky, A., and Thanh, L.V 2006 Strong and weak laws of large numbers for double sums of independent random elements ... Probab Appl 40:175–181 [15] Rosalsky, A., and Thanh, L.V 2009 Weak laws of large numbers of double sums of independent random elements in Rademacher type p and stable type p Banach spaces Nonlinear ... Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices Ann Probab 6:469–482 [17] Thanh, L V 2005 Strong law of large numbers and Lp -convergence...

Ngày tải lên: 16/10/2015, 09:12

... rates of uptake of both the lipid and protein components are not matched by the rate of cellular metabolism of these species, resulting in the accumulation of both unmodified cholesteryl esters and ... consists of two related processes ) oxidation of protein-bound sugars (from glycation), and oxidation of free glucose and its products Both processes can generate radicals that modify LDL, and hence ... a time -dependent manner, via scavenger receptor SR-A- and CD36-mediated processes, and that the uptake of lipid and protein occurs in synchrony Furthermore, it is shown that both lipid and modified...

Ngày tải lên: 19/02/2014, 02:20

... number Throughout this paper, Zp , Qp , and Cp will denote the ring of p-adic integers, the field of p-adic numbers, and the completion of the algebraic closure of Qp , Advances in Difference Equations ... Acikgoz and S Araci, “A study on the integral of the product of several type Bernstein polynomials,” IST Transaction of Applied Mathematics-Modelling and Simulation In press M Acikgoz and S Araci, ... function of the Bernstein polynomials,” in Proceedings of the 8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM ’10), AIP, Rhodes, Greece, March 2010 Y Simsek and...

Ngày tải lên: 21/06/2014, 11:20

... Ozden, Y Simsek, and I N Cangul, “Remarks on sum of products of h,q -twisted Euler polynomials and numbers, ” to appear in Journal of Inequalities and Applications 15 Y Simsek, Theorems on twisted ... polynomials and numbers, see 14, 15 In this paper, we consider the new q-extension of Euler numbers and polynomials to be different which is treated by Ozden et al From our q-Euler numbers and polynomials, ... L-function and twisted Bernoulli numbers, ” Advanced Studies in Contemporary Mathematics, vol 11, no 2, pp 205–218, 2005 16 Y Simsek, “Complete sums of products of h,q -extension of Euler numbers and...

Ngày tải lên: 22/06/2014, 06:20

... constructed (h, q)-extensions of the twisted Euler numbers and polynomials They also defined (h, q)generalizations of the twisted zeta function and L-series These numbers and polynomials are considered ... computation of the structure of the roots of q-Bernoulli polynomials,” to appear in Journal of Computational and Applied Mathematics [15] C S Ryoo, T Kim, and R P Agarwal, “A numerical investigation of ... Find the numbers of complex zeros CEn,q,w (x) of En,q,w (x), Im(x) = Prove or give a counterexample 18 Journal of Inequalities and Applications Im(z)  1  2  1 Re(z) 4 Figure 4.9 Zeros of E10,q,w...

Ngày tải lên: 22/06/2014, 18:20

... consisted in removal and deposition of the organic layer and some underlying mineral soil in berms beside the trench In each of the nine blocks of RP and 10 blocks of LC, we randomly assigned the ... contained 37% sand, 47% silt, and 26% clay Both soil profiles were characterized by a mor humus layer of cm Experimental sites RP and LC were clearcut-harvested in the summers of 1996 and 1997, respectively, ... use of large seedling stock will help reduce the need for repeated release treatments and therefore presents an advantage to the use of standard-size seedlings [26] Finally, the use of either large...

Ngày tải lên: 08/08/2014, 01:21

... μg/ml of LPS or μg/ml of LPS and 25 μM TMP Following 24 h of treatment, supernatants were collected and levels of TNF-a (A) and MCP-1/ CCL2 (B) were determined by ELISA To assess the effects of ... (HEK293/ TLR4-YFP/MD2) were stimulated with μg/ml of LPS or μg/ml of LPS and 25 μM of TMP for a period of hours and cell lysates were analyzed for NF-B dependent luciferase activity As shown in Figure ... examined by testing the effects of TMP on TLR-3 and TLR-8-mediated activation of NF-B [26,27] The natural ligands for TLR-3 and TLR-8 are double and single stranded RNA, respectively In these...

Ngày tải lên: 11/08/2014, 03:20

... and SvO2 and the agreement of the changes of these values were assessed by the mean bias and 95% limits of agreement ([mean bias ± 1.96] × standard deviation) as described by Bland and Altman ... 0.30) Biases between ScvO2 and SvO2 were 0.7% ± 6.3% (95% limits of agreement of -11.7% to 13.1%) in the splanchnic group and 2.6% ± 7.5% (95% limits of agreement of -12.2% to 17.4%) in the non-splanchnic ... Biases between changes in ScvO2 and SvO2 were 0.9% ± 7.9% (95% limits of agreement of -14.5% to 16.3%) in the splanchnic group and 0.3% ± 6.5% (95% limits of agreement of -12.4% to 13.0%) in the non-splanchnic...

Ngày tải lên: 14/08/2014, 07:21

... 3.5.1 Proof of Theorem 37 3.5.2 Proof of Theorem 39 3.5.3 Proof of Corollary 43 Characterizing pure-strategy equilibria in large ... 53 4.6 Proofs 53 4.6.1 Proof of Theorem 53 4.6.2 Proof of Theorem 55 4.6.3 Proof of Theorem ... 80 5.6 Proofs 81 5.6.1 Proof of Theorem 81 5.6.2 Proof of Theorem 84 5.3 Contents vii 5.6.3 Proof of Theorem 11...

Ngày tải lên: 12/09/2015, 08:18

... exploration and development of new nanofabrication techniques A number of new and unconventional methods have been explored to circumvent the technical and financial limitations of conventional ... (c) Plot of total dose distribution as a result of the superposition of the two exposures of equal amplitude (d) A three dimensional view of plot c, showing the peak, saddle, and minimum of the ... Plot of total dose distribution as a result of the superposition of two perpendicular exposures of equal amplitude (d) A three dimensional view of plot c, showing the peak, saddle, and minimum of...

Ngày tải lên: 12/09/2015, 11:29

Ngày tải lên: 31/08/2016, 09:57

... This new setup leads to two kinds of limiting results: classical limiting theory (for fixed dimension p) and large dimensional limiting theory (for large dimension p and also called LDRM theory) Therefore, ... product of a sample covariance matrix and the inverse of another sample covariance matrix, both independent of each other Yin and Krishnaiah (1983) investigated the limiting distribution of a product ... standard E xi j )/si j , where si j is the standard deviation of xi j for i ˆ ˆ deviation of xii ˆ ˆ ˜ Let Fn and Fn denote the ESDs of the Wigner matrices n−1/2 ( xi j ) and n−1/2 ( xi j ), and...

Ngày tải lên: 12/09/2015, 09:39

... Thermodynamic Modeling of Large- Scale Interconnected Systems 4.1 Introduction 4.2 Conservation of Energy and the First Law of Thermodynamics 4.3 Nonconservation of Entropy and the Second Law of Thermodynamics ... behaviors of the individual subsystems and their interconnections The need for decentralized analysis and control design of large- scale systems is a direct consequence of the physical size and complexity ... system (2.64) and (2.65) with respect to xI uniformly in xII0 The remainder of the proof involves similar arguments as given above and as in the proof of parts ii) v) of Theorem 2.3 and, hence,...

Ngày tải lên: 12/02/2014, 16:20

... of the master regulator of testicular differentiation in medaka (see [13] for review) and because of the discovery of sex-chromosome-linked dmrt1s in other vertebrates (DM-W in Xenopus [14] and ... of sex determination in fish came with the discovery of a dmrt1 homologue on the Y chromosome of the fish medaka (Oryzias latipes) This Y-chromosomal gene is the product of a gene duplication of ... birds, mammals and corals is the dmrt gene family [5] The prototype members of this group of factors are the Drosophila doublesex (dsx) and Caenorhabditis mab-3 genes The Dmrt group of molecules...

Ngày tải lên: 14/02/2014, 19:20

... communications by central banks to identify “news” about their recent programs of asset purchases We concentrate on the programs of the Federal Reserve and the Bank of England These central banks ... magnitudes of the surprise and response of interest rates, Figure presents a scatter plot of U.S monetary surprises and long-term interest rate changes for the ten event days of LSAP1 and LSAP2 ... the case of Federal Reserve announcements, with the effect on the S&P 500 significant at 5percent, and in four of six markets in the case of Bank of England announcements, though none of these...

Ngày tải lên: 17/02/2014, 03:20