b 8 functional transformations of random variables

... (1+E3)(2+E) 2-1 -+ b < p < 1 , we obtain Yr < c5/(1 - P) = c3'' Thus, for this choice of e, 18 5 SUFFICIENT CONDITIONS 343 a2r < ( 2+ E)' a,+ C6 (U2r- 1)2+b = 2+b U2r h(2r -1 ) 2+t ... distribution of Z n is the same as that of Z;,, to the investigation of which we now turn We denote the characteristic function of an 1 ~ o by /n (t), and prove that IE(e On -+ 0 (18. 4.12) ... /P 4) = 0( 1 /log o y(P) )-* 0 (18 5.22) = (18. 5 23) j=o as n-* oo Similarly, n -1 k-i Enink Z j=0 = 0 ? a (PJ) = O Jk-E1 Combining (18 5.21 )-( 18 5 23)... (2r-1) h (2 r-s+1) h (2r-1+1)

Ngày tải lên: 02/07/2014, 20:20

... study the probability space formed by the segment [0, 1), withthe Lebesgue measurable sets, and probability measure A Then equation (19 3 2) means that the sequence of random variables f k = f ... values of sums of the form Ef (2kx) Letf (t) be a periodic function of the real argument t, with period 1, andconsider the distribution of the values of the sum Such sums are of considerable importance ... space with (0, 1) as the set of elementary events,endowed with the 6-algebra of Lebesgue measurable sets The appropriateprobability measure turns out to be that defined by the equation y (A) = (log

Ngày tải lên: 02/07/2014, 20:20

... all possiblelimit distributions for sums of random variables defined on a finite homo-geneous Markov chain © 2 : m-dependent random variables were first studied by Hoeffding andRobbins [51] ... generalization of the Esseen estimate to non-identically distributed independent randomvariables Berry-Considerable progress has been made in respect of the subject of uniform estimates of the remainder ... domains of attraction (6) The establishment of sharp bounds for large deviations, and inparticular the computation of the best constant (7) The discovery of wider classes of random variables,

Ngày tải lên: 02/07/2014, 20:20

... strong laws of large numbers for double arrays of random variables taking values in Banach spaces Keywords: complete convergence in mean; double array of random variables with val-ues in Banach space; ... TN-13-01 Trang 2of random variables taking values in a Banach space In this paper, we introduce and study the complete convergence in mean of order p to 0 of double arrays of E-random variables In Section ... arrays of E-valued r.v.’s is obtained These results are used in Section 4 to obtain some strong laws of large numbers for martingale difference double arrays of random variables taking values in Banach

Ngày tải lên: 16/12/2017, 02:31

... by different combinations of metal and substrate revealed that the Fe2+ form of Bxe_A2876 was an efficient catalyst of carbon–carbon bond cleavage in b-diketone substrates X-ray absorption spectroscopy ... from B xenovorans that catalyzes the cleavage of carbon– carbon bonds in b-diketone substrates The enzyme is not inducible by addition of b-diketone to the growth medium Cell extracts of B xenovorans ... 2-acetylcyclohexa-none By way of comparison, kcatvalues of Bxe_A2876 were lower, by about one order of magnitude, than the corresponding kcatvalues of Dke1 [28] Bxe_A2876 was inactive towards

Ngày tải lên: 18/02/2014, 06:20

... -FnBPB-1 FnBPB-2/3 FnBPB-4 FnBPB-5 FnBPB-6 FnBPB-7 FnBPB-8 FnBPB-9 FnBPB-10 FnBPB-11 GST FnBRB FnBPB-1 FnBPB-2/3 FnBPB-4 FnBPB-5 FnBPB-6 FnBPB-7 FnBPB-8 FnBPB-9 FnBPB-10 FnBPB-11 GST FnBRA FnBP ... FnBPB-6 FnBPB-7 FnBPB-8 FnBPB-9 FnBPB-10 FnBPB-11 GST FnBRB FnBPB-1 FnBPB-2/3 FnBPB-4 FnBPB-5 FnBPB-6 FnBPB-7 FnBPB-8 FnBPB-9 FnBPB-10 FnBPB-11 GST FnBRA FnBP A-1 FnBP A-2 FnBP A-3 FnBP A-4 FnBP ... E S N D S FnBPB-2/3 FnBPB-4 FnBPB-5 FnBPB-6 FnBPB-7 FnBPB-8 FnBPB-9 FnBPB-10 FnBPB-11 Fig 1 Structural organization of FnBPA and FnBPB of S aureus strain 8325-4 (A) The locations of the secretory

Ngày tải lên: 06/03/2014, 22:21

... (X17247 [22]) These sequences (GenBank accession numbers AB058780, BC008660, AA385852; EST clones and AC108049, AC016994, AC005040 and NT_005429; genomic clones) were subsequently used to reconstitute ... Galb1-3GalNAca1-O-Ser/Thr 66 83 Galb1-4GlcNAc-R LNnT: Galb1-4GlcNAcb1-3Galb1-4Glc 623 120 LNT: Galb1-3GlcNAcb1-3Galb1-4Glc 0 0 a Rrepresents the remainder of the N-linked oligosaccharide chain.b ... with the size of the cDNA clone AB058780 (6.782 kb) It was found also in specific regions of the brain: hippocampus and amygdala of the limbic Fig 7 S nigra agglutinin staining of CHO/hST6Gal

Ngày tải lên: 08/03/2014, 08:20

... hibitor of reCBG [the hydrolysis of 4NP-b- D - glucopyranoside (10 m M ) was reduced by 98% in the presence of 4NP-b- D -mannopyranoside (10 m M )]. Hydrolysis of xenobiotic glycosides by reCBG The ... (1985) Galactosylsphingosine inhibition of the b road-speci®city c ytosolic beta-gluc osidase of human liver. Arch. Biochem. Biophys. 236, 669±676. Ó FEBS 2002 Xenobiotic metabolism by a human b-glucosidase ... Legler, G. & Bieberich, E. (1988) Active site directed inhibition of a cytosolic beta-glucosidase from calf liver by bromoconduritol B epoxide and bromoconduritol F. Arch. Biochem. Biophys. 260, 437±442. 31.

Ngày tải lên: 08/03/2014, 16:20

... +420 541 517 184 Tel: +420 541 211 293 E-mail: brzoboha@ibp.cz (Received 11 July 2008, revised 17 September 2008, accepted 9 October 2008) doi:10.1111/j.1742-4658.2008.06735.x b-Glucosidases ... site; Brassica napus; substrate specificity; Zea mays; b-glucosidase Correspondence B Brzobohaty´, Institute of Biophysics AS CR, v.v.i., Kra´lovopolska´ 135, CZ-61265 Brno, Czech Republic Fax: ... Brˇetislav Brzobohaty´1,3 1 Institute of Biophysics AS CR, v.v.i., Brno, Czech Republic 2 Department of Functional Genomics and Proteomics, Masaryk University, Brno, Czech Republic 3 Department of Molecular

Ngày tải lên: 16/03/2014, 04:20

... ETB168; 4, ETB203, 5, ETB306; 6, ETB132; 7, ETB204; 8, ETB307; 9, ETBcHx. Arrows indicate the ETB derivative monomers Putative oligomeric forms are also visible. Fig 6 Ligand binding of ETB derivatives ... Bri35, Brij58 and Brij78 were suitable for the CF synthesis of soluble ETB in milligram amounts Detergents of the Brij family are extremely mild deter-gents, being unable to disintegrate membranes, ... flow-through of the Strep-Tactin column (Fig 8B) A B C Fig 7 SPR response curves for the interaction of immobilized bET-1 with full-length ETB, ETB 131 and ETB 93 (A) Interaction of ETB between 10

Ngày tải lên: 16/03/2014, 10:20

... Trang 1Barley a-amylase Met53 situated at the high-affinity subsite )2belongs to a substrate binding motif in the bfia loop 2 of the catalytic (b/a)8-barrel and is critical for activity and substrate ... different enzymes bind substrate in a deep accessible cleft formed by bfia loops of (named domain B) between b-strand and a-helix 3 [16–30] In barley a-amylase the C-terminal antiparallel b-sheet domain ... residues,the binding affinity of individual subsites,and the position of the bond to be cleaved [31–34] The spatial distribution of binding forces illustrates how particular subsites of high or

Ngày tải lên: 31/03/2014, 08:20

... law of large numbers for sequences of ran-dom variables to the case of triangular array of ranran-dom variables and arrays of rowwise random variables For more details about the strong law of ... strong law of large numbers for arrays of rowwise NOD random variables Corollary 2.5 Let {Xni, i≥ 1, n ≥ 1} be an array of rowwise NOD random variables and {an, n ≥ 1} be a sequence of positive ... dependent random variables Bull Inst Math Acad Sin (New Ser) 1(2), 281 –305 (2006) 10 Amini, M, Bozorgnia, A: Negatively dependent bounded random variable probability inequalities and the strong law of

Ngày tải lên: 20/06/2014, 22:20

... n-+oo, BM Bn a2 al m Bn 2 CANONICAL REPRESENTATION OF STABLE LAWS 39 Consider the sum Bn X1 + +Xn B Bn - A" b1 + Bn B Xn+i+ +Xn+m BM Xl + + Xn+m - A , (2 1.6) B where B = Bn/a , A = (Bn ... independent random variables § Probability spaces, conditional probabilities and expectations A probability space is a triple (Q, R, P), where Q is a set of elements w, R a a-algebra of subsets of Q ... a-algebra of Borel sets, P the Lebesgue-Stieltjes measure determined by P { [a, b) } = F (b) - F (a), and X (w) = w 21 CONVERGENCE OF DISTRIBUTIONS Let X and Y be independent random variables...

Ngày tải lên: 08/04/2014, 12:28

... sums of random variables in the domain of attraction of the normal law Qunying Wu1,2 College of Science, Guilin University of Technology, Guilin 541004, P R China Guangxi Key Laboratory of Spatial ... wqy666@glite.edu.cn Abstract Let X, X1 , X2 , be a sequence of independent and identically distributed random variables in the domain of attraction of a normal distribution A universal result ... is in the domain of attraction of the normal law Therefore, the class of random variables in Theorems 1.1 is of very broad range Remark 1.5 Essentially, the open problem should be whether Theorem...

Ngày tải lên: 20/06/2014, 21:20

... Bnx+AnBn-ANBNI BN *m * * F *r (Bn X +An Bn) = ajbm-jH*j B n x+A"Bn - ANBN BN j=0 (J) M m * (Bnx+AnBn-ANBN * *HZ (m_j) F *r (Bn x+A n Bn) _ BN _ j-ma Ym l/2logm m + j-ma> -m'/2logm ajbm-j Hlj* ... proof of the theorem Any integer n > N can be written n = mN + r, where m and r are integers and < r < N By Lemma 4.4.2, F,,(x) = F*" (B n x + A n B n) = Bnx+AnBn-ANBN BN + bH2 {aHl Bnx+AnBn-ANBNI ... ItI 2ma t BN bB n ( Bn BN ItI _ ajb'n 'dt j-ma> -m /2logm l Bn IhI m Y h (t)I 2ma J dt (4.4.15) > SBN Because h l (t) is the characteristic function of an absolutely continuous distribution, there...

Ngày tải lên: 02/07/2014, 20:20

... attraction of stable laws in the L metric P Let X1 , X2 , be a sequence of independent random variables with the same distribution F If it is possible to select normalising constants A,,, B in ... G) belongs to LP Lemma 2.2 If F belongs to the domain of attraction of a stable law G of exponent a, then for all < a the moments 00 Kn(a) = f- IxI a dFn(x) 00 are uniformly bounded in n Proof ... we denote by L,,,, the Banach space of bounded measurable functions f on (- oo, oo), with norm 11111= ess sup I f (x) I , then (5 1) asserts that, when F is in the domain of attraction of Ga ,...

Ngày tải lên: 02/07/2014, 20:20

... 2(T)}(1+Bn -1 log8 n) (7 3.5) Furthermore, (7.2.7) gives K" (zo) = U2 + Bzo = 0- + BT ( 7.3 6) 7.4 A LOCAL LIMIT THEOREM FOR LATTICE VARIABLES 67 Substituting into (7.3 5) and noting that (1+Br)(1+Bn ... {1-ri(c)}"-2 - ~r~ >E ~M(it)1 dt o0 B{ 1-1i(c)} n-2 (7.2.3) Here B is bounded and r1 (c) > The right-hand side of (7.2.3) can be written as B exp (- nri (c)), where ri l (c) > Substituting into (7 2.2) ... (27r/nK"(z o))2 (1 +Bn -1 log8 n) Thus the first term on the right-hand side of (7.2.25) is equal to a( 2itK"(zo)) -I- exp In (K(zo) - aTzo)}(1+Bn -1 log8 n) , (7.3 3) (7 4) or, because of (7.2.19),...

Ngày tải lên: 02/07/2014, 20:20