chebyshev inequality weak law of large numbers and central limit theorem

... 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 ... 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 ... Proceedings of the American Mathematical Society, vol 54, pp 331–336, 1976 12 J Hoffmann-Jørgensen and G Pisier, “The law of large numbers and the central limit theorem in Banach spaces,” Annals of Probability,...

Ngày tải lên: 21/06/2014, 07:20

... the 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 ... distributed random variables and for blockwise martingale differences is not yet studied The main results of this paper are Theorems 3.1, 3.3 Theorem 3.1 establishes the strong law of large numbers ... corollary 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...

Ngày tải lên: 06/08/2014, 05:20

... Arctic and the Antarctic could be considered as ‘regions’ in the context of the contemporary law of the sea and the actual cooperation of states as to the demanding tasks of exploring, exploiting and ... Rangel, ‘Sources of the Law of the Sea’, in Dupuy and Vignes (eds.), A 19 Handbook on the New Law of the Sea, pp 54–7 See also Boyle, Chapter in this book The LOS Convention and the polar marine ... The duty of states to adopt laws and regulations to prevent, reduce and control pollution of the marine environment is an important element of the general obligation of states to protect and preserve...

Ngày tải lên: 01/11/2013, 09:20

... 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 ... Van Quang, On the Law of Large Numbers of Hsu- Robbins type in Noncommutative Probability, Vietnam J Math vol 22, no 3-4 (1990) 50 [12] Nguyen Van Quang, On the Weak law of Large Numbers for d-Dimensional ... ¯ The strong law of large numbers for two-dimensional arrays of orthogonal operators Let A denote a von Neumann algebra with faithful normal state Φ, and N is set of all natural numbers For each...

Ngày tải lên: 13/02/2014, 04:20

... and extremophile biology, biochemistry, and origin -of- life studies The latter topic explores the fate of life in the cosmos in light of the second law and its possible violation Roughly 80% of ... Allahverdyan and Nieuwenhuizen [33] is noteworthy They rederive and extend the results of Pusz, Woronowicz [34] and Lenard [35], and provide an analytical proof of the following equilibrium formulation of ... mobile of the second type generally receives the most support Chapter 1: Entropy and the Second Law 13 and the least dissention It is the gold standard of second law formulations If the second law...

Ngày tải lên: 24/04/2014, 17:14

... 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 ... 4.11, and 4.12) 16 Journal of Inequalities and Applications Im(z)  1  2  1 Re(z) 4 Figure 4.5 Zeros of E10,q,w (x) Im(z)  1  2  1 Re(z) Figure 4.6 Zeros of E20,q,w (x) Our numerical results for numbers...

Ngày tải lên: 22/06/2014, 18:20

... Party and the State in their guidelines and policies One of the tools used is land registration, and one thing which needs to be done is the modernization of the system of land registration and land/real ... The central concept and important elements of a system of land registration 2.2.1 The concept of a system of land registration Depending on the conditions and situations in each country, a land ... right to land users via the allocation of land, the leasing of land, and the recognition of land use rights for persons currently using the land in a stable manner 4.2.2.2 Circumstances for land use...

Ngày tải lên: 22/07/2014, 14:00

... 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

... rights of land owners/users; boundaries of land parcels; buying, selling, leasing and managing the land, settling land disputes; (ii) Evaluation of land prices: determining the value of land and ... supervisors, Professor Hans-Heinrich Vogel (Faculty of Law, Lund University, Sweden) and Professor Ph m H u Ngh (The Editorial Director of the State and Law Magazine, the Institute of State and Law, Vi ... title of my research is thus “Two land registration systems – The land law of Vi t Nam and of Sweden” 1.2 Purpose Bearing in mind the demand for the modernization of the land registration and the...

Ngày tải lên: 15/08/2014, 15:50

... 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 ... 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...

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

... 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 ... [4] Hoffmann-Jørgensen, J., and Pisier, G 1976 The law of large numbers and the central limit theorem in Banach spaces Ann Probab 4:587–599 [5] de Acosta, A 1981 Inequalities for B-valued random ... 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...

Ngày tải lên: 16/10/2015, 09:12

Ngày tải lên: 31/08/2016, 09:57

... cu,v is the sum of the cofactors of qDG Proof: We recall that qDG is the q-analogue of the distance matrix DG = (du,v ) of G and qCOFG = (cu,v ) is the cofactor matrix of qDG For two vertices ... instead of using a more correct subscripted notation Rρ and Cτ , we will define vectors ρ and τ and only then use R, C In our proof of Theorem 2, we will apply this notation to cases with A = qDG and ... , qcofsumu1 = qcofsumu2 Thus, qcofsumv is indeG G G pendent of the vertex v Further, for all u ∈ G, qcofsumu = (q − 1) det(qDG ) + cofsum(qDG ), G where cofsum(qDG ) = u,v cu,v is the sum of...

Ngày tải lên: 08/08/2014, 11:20

... 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

... 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 ... 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, ... one, the ESD of sample covariance matrices F Bn converges to the MP law with ratio index y and scale parameter σ2 2.1.3 Product of Two Random Matrices The study of a product of two random matrices...

Ngày tải lên: 12/09/2015, 09:39

... 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 of ... “On strong versions of the central limit theorem, ” Mathematische Nachrichten, vol 137, pp 249–256, 1988 M T Lacey and W Philipp, “A note on the almost sure central limit theorem, ” Statistics ... Journal of Inequalities and Applications Lemma 2.4 see Let {ξk , k ≥ 1} be a sequence of random variables, uniformly bounded below and with finite variances, and let {dk , k ≥ 1} be a sequence of...

Ngày tải lên: 21/06/2014, 05:20

... distribution Now we state and prove the main theorem as follows Central Limit Theorem for Functional of Jump Markov Processes 459 Theorem 3.3 Assume that the condition (C1 ) of Theorem 3.2 and the following ... result of this section is to establish the conditions for n−1/2 n L ϕ(Xk ) −→ N (μ, σ ) k=1 We need a central limit theorem for martingale differences as follows Theorem 2.3 (Central limit theorem ... Sons, New York, 1953 P Hall and C C Heyde, Martingale Limit Theory and Its Application, Academic Press, 1980 S Niem and E Nummelin, Central Limit Theorems for Markov Random Walks, Commentations...

Ngày tải lên: 06/08/2014, 05:20