expectation of a function of one random variable

... independent random variables have been extended to dependent random variables by many authors The concept of negatively associated random variables was introduced by Alam and Saxena [6] and carefully ... associated random variables Theorem 1.4 Let {Xni, ≤ i ≤ kn, n ≥ 1} be an array of rowwise negatively associated random variables and {an, n ≥ 1} a sequence of nonnegative constants Suppose that ... negatively associated and negatively dependent mean zero random variables The following lemma is an exponential inequality for negatively dependent random variables which was proved by Dehua et...

Ngày tải lên: 20/06/2014, 22:20

... Chapter Functions of Random Variables, Expectation, Limit Theorems 4.1 Introduction 4.2 Functions of One Random Variable 4.3 Functions of Two Random Variables 4.4 Functions of n Random Variables ... probabilities of various events 2.2 RANDOM VARIABLES A Definitions: Consider a random experiment with sample space S A random variable X(c) is a single-valued real function that assigns a real ... Chapter Random Variables 1 7 8 38 2.1 Introduction 2.2 Random Variables 2.3 Distribution Functions 2.4 Discrete Random Variables and Probability Mass Functions 2.5 Continuous Random Variables and...

Ngày tải lên: 31/03/2014, 16:25

... of Mathematics University of Michigan Ann Arbor Ml 48109 USA USA S Axler P R Halmos Department of Mathematics Santa Clara University Santa Clara CA 95053 USA Mathematics Subjects Classifications ... here In particular, as an easy consequence of the Cauchy-Riemann equations, or rather a reformulation of the result that a function is analytic if and only if ita real and imaginary parts satisfy ... Principles of Random Walk 2nd ed WERMER Banach Algebras and Several Complex Variables 2nd ed KELLEY/NAMIOKA et al Linear Topological Spaces 37 MONK Mathematical Logic 38 GRAUERT/FRtTZSCIIE Several Complex...

Ngày tải lên: 12/06/2014, 16:25

... bound for the covariance of two transformed random variables by incorporating a notion of quadrant dependence and also utilizing the idea of constraining the means of the random variables To see ... probability P A is the expectation E 1 {A} of the indicator 1 {A} , which is a random variable taking on the value if the event A happens, and otherwise Hence, C x, y is equal to the covariance ... the Cauchy-Schwarz inequality to estimate the latter covariance and thus obtain that C x, y ≤ Var 1{X ≤ x} Var Y ≤ y 3.2 Since 1{X ≤ x} is a binary random variable taking on the two values and...

Ngày tải lên: 21/06/2014, 18:20

... associated random variables, Journal of Statistical Planning and Inference 97 (2001), no 2, 201–225 [6] J Esary, F Proschan, and D Walkup, Association of random variables, with applications, Annals of ... for associated random variables and the percolation model, The Annals of Probability 12 (1984), no 2, 514–528 [5] I Dewan and B L S Prakasa Rao, Asymptotic normality for U-statistics of associated ... dependent random variables Prakasa Rao [13] proved a strong law of large numbers for associated sequences as a consequence of the Hajek-Renyi-type inequality Marcinkiewicz-Zygmundtype strong law of large...

Ngày tải lên: 22/06/2014, 22:20

... variables and the estimate of the stable degree of the Renyi’s characteristic theorem, Acta Mathemaica Vietnamica 21 (1996) 269 [3] C G Essen, Fourier analysis of distribution functions, Acta ... Conference on Mathematics, Mechanics, and Informatics, Hanoi, 7/10/2006, on the occasion of 50th Anniversary of Department of Mathematics, Mechanics and Informatics, Vietnam National University ... References [1] Tran Kim Thanh, On the characterization of the distribution of the composed random variables and their stabilities Dotor thesis, Hanoi 2000 [2] Tran Kim Thanh, Nguyen Huu Bao, On the...

Ngày tải lên: 14/03/2014, 13:20

... the domain of attraction of the normal law, if there exist constants an > 0, bn ∈ R such that S n − bn d −→ N, an where N is the standard normal random variable We say that {Xn }n∈N satisfies ... establish the ASCLT for self-normalized partial sums of random variables in the domain of attraction of the normal law, we will show that the ASCLT holds under a fairly general growth condition on dk ... 1.1 of [12] Remark 1.4 If EX < ∞, then X 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,...

Ngày tải lên: 20/06/2014, 21:20

... establishing almost sure convergence of summation of random variables Hsu and Robbins [8] proved that the sequence of arithmetic means of independent and identically distributed random variables ... and NA random variable sequences are the most important and special cases of pairwise NQD random variable sequences, then we have the following results as two corollaries of Theorems 2.1 and 2.2 ... Joag Dev, K, Proschan, F: Negative association of random variables with applications Ann Stat 11(1), 286–295 (1983) doi:10.1214/aos/1176346079 Matula, P: A note on the almost sure convergence of...

Ngày tải lên: 20/06/2014, 22:20

... definition of NA and ND But ND does not imply NA, so ND is much weaker than NA Because of the wide applications of ND random variables, the notions of ND dependence of random variables have received ... University of Georgia, 1993 K Joag-Dev and F Proschan, “Negative association of random variables, with applications,” The Annals of Statistics, vol 11, no 1, pp 286–295, 1983 A Bozorgnia, R F Patterson, ... 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 variables,”...

Ngày tải lên: 21/06/2014, 07:20

... conditional random fields In PAMI H Raghavan, O Madani, and R Jones 2006 Active learning with feedback on both features and instances JMLR R Salakhutdinov, S Roweis, and Z Ghahramani 2003 Optimization ... estimation: Training log-linear models on unlabeled data In ACL Martin Szummer and Tommi Jaakkola 2002 Partially labeled classification with markov random walks In NIPS, volume 14 X Zhu and Z Ghahramani ... has an edge in accuracy labeled instances used for estimation in traditional CRF training Majority labeled features are features annotated with their majority label.6 Labeled features are features...

Ngày tải lên: 20/02/2014, 09:20

... resulting in an increase in activity (23.1 UÆmg)1) A similar decrease and restoration of activity was obtained if H2 was added after the incubation period of As before, the maximal activity obtained ... for NADH-K3Fe(CN)6 activity and acid-labile FMN The experiment has been performed with three different preparations Data for each preparation are the minimal and maximal values of three measurements ... mM) was measured either directly after the addition of H2/NADH or later Data are the minimal and maximal values of three measurements Experiments with two other enzyme preparations gave similar...

Ngày tải lên: 07/03/2014, 15:20

... of pH on the auto-oxidation of Hb A0 has been the subject of several studies Mansouri and Winterhalter [5] reported that the oxidation of the a chains of Hb A0 was 10 times faster than that of ... pH range from 5.3 to Tsuruga and Shikama [21] confirmed that the fast phase of oxidation was due to the a chains and the slow phase was due to the b chains Tsuruga et al found that the beta chain ... reaction of human oxyhemoglobin Biochim Biophys Acta 1337, 96–104 22 Tsuruga, M., Matsuoka, A. , Hachimori, A. , Sugawara, Y & Shikama, K (1998) The molecular mechanism of autoxidation for human...

Ngày tải lên: 08/03/2014, 10:20

... step was chosen to be fs, and the relaxed steps was set to 1000 Atomic forces are calculated using the Hellmann–Feymann the- Fig HOMO–LUMO gaps of the silica molecular chains as a function of n ... relatively small number of 2MRs and the attendance of BO atoms As shown in Fig 1, the energetic stability of the SU-2MR chains exceeds those of ES-2MR chains and also rings as n > It is indicated ... surfaces of the HOMO and LUMO states of the SU-2MR chain at n = 12, respectively The energy gap is a signature of the chemical reactivity of a system Compared to the ES-2MR chains, the relatively...

Ngày tải lên: 16/03/2014, 15:03

... concentrations were approximately doubled (194 lm p38 MAPKa, 549 lm ADP, 542 lm AMP-PCP) ATPase activity assay The ATPase activity of activated p38 MAPKa was characterized using the coupled assay ... overexpressed, activated and purified In our case a sensitive tryptic analysis indicates that the enzyme was fully activated [27] v Vmax ¼ AB aKA KB þ aKB A þ aKA B þ AB ð1Þ The rapid equilibrium assumption ... lm obtained from the bisubstrate kinetics v A   ¼ Vmax aKA þ KB þ IKB þ I þ A 1 þ aKB Á B KI B B bKI rearranged v B     ¼ Vmax aKB þ KA þ IKA þ B þ aKA þ aKA I A KI A A bKI A ð2Þ MgADP We...

Ngày tải lên: 16/03/2014, 22:20

... nanorods Fig The XRD pattern of the SnO2 nanorods grown via the hydrothermal method room temperature on a Horiba Jobin Yvon LabRam IR system at a spatial resolution of mm Raman scattering was ... annealed for h at 370 1C There are Raman peaks at 475, 632, and 774 cmÀ1 in the Raman spectrum which are in agreement with those of a rutile SnO2 Fig (a) The TEM image of a SnO2 nanorod on a holey-carbon ... described reaction media of aqueous metal–ion precursors allows a slow nucleation and growth at low-interfacial tension conditions, which favors the generation of tetragonal-shaped SnO2 nanocrystals...

Ngày tải lên: 20/03/2014, 13:08

... topographical features of a surface A miniature tip (radius of curvature is 5-10 nm40), usually made of silicon or silicon nitride, taps along a prescribed area of the surface being imaged.33 Attractive ... surface Data are taken across an area of the surface and averaged to give a more accurate representation of the properties for the entire film For a spectroscopic ellipsometers, a range of light ... Differential Scanning Cal orimetry Samples of PMMA were heated in a vacuum oven at 120°C for 24 hours to drive off any moisture that had been absorbed One sample of approximately 15 mg was placed in aluminum...

Ngày tải lên: 23/03/2014, 01:20

... Ryan S.J.D Baker and Kalina Yacef 2009 The state of educational data mining in 2009: a review and future visions In Journal of Educational Data Mining, pages 3–17 David M Blei, Andrew Ng, and ... Kentucky Assembly, marshaled, classed railroadco, statute, Alabama, steamboats, Waterman’s, mulattoes, man-trap Free Region (R1) Slave Region (R2) apprenticed, overseer’s, Federal Army, manumitting, ... sorely lacking in empirical justifications, and analysis of online communities, which are often rife with available metadata but produce content far faster than it can be analyzed by experts Acknowledgments...

Ngày tải lên: 23/03/2014, 14:20

... statistics of large corpora, Proc DARPA Speech and Natural Language Workshop, Hidden Valley PA, pp 275-282, 1990 Charoenporn, T., Sornlertlamvanich, V., and Isahara, H.: Building a large Thai ... another advantage: their performance is less affected by a small amount of training d a t a than that of the statistical methods (Schmid, 1994) Neuro taggers also offer fast tagging compared to ... single-neuro taggers, which indicates that that the multi-neuro tagger can dynamically find suitable lengths of contexts for tagging The cost to train a multi-neuro tagger was almost the same as that to...

Ngày tải lên: 23/03/2014, 19:20

... characterization of hSRP1 gamma, a tissue-specific nuclear transport factor Proc Natl Acad Sci USA 95, 582–587 10 Kamei Y, Yuba S, Nakayama T & Yoneda Y (1999) Three distinct classes of the alpha-subunit ... blotting apparatus (Horizblot; ATTO, Tokyo, Japan) Molecular mass markers (Precision Plus Protein Standards; Bio-Rad Laboratories, Hercules, CA, USA; Magic Mark XP, Invitrogen, Carlsbad, CA, USA) were ... intraperitoneally injected with IU of PMSG (Serotropin; ASKA Pharmaceutical, Tokyo, Japan), and induced to ovulate after 48 h with IU of hCG (Gonatropin; ASKA Pharmaceutical) Thirteen hours after...

Ngày tải lên: 28/03/2014, 23:20