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Báo cáo sinh học: "A marginal quasi-likelihood approach to the analysis of Poisson variables with generalized linear mixed models" pot
Ngày tải lên :
14/08/2014, 19:22
... animal breeding such as, eg, sire, sire and maternal grand sire, and animal models on one hand, and direct and maternal effects on the other hand A simple example of that is the classical animal model ... distribution is the and Nelder, 1989), A is modelled as: k logarithm (Me Cullagh where p and u are (p x ) and (q x ) vectors of fixed and random effects respectively, and x and z’are the corresponding ... distribution of those parameters As discussed by Foulley and Manfredi (1991), this procedure is likely to have some drawbacks regarding estimation of fixed effects due to the lack of integration of random...
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Báo cáo y học: "Identification of clinical and simple laboratory variables predicting responsible gastrointestinal lesions in patients with iron deficiency anemia"
Ngày tải lên :
25/10/2012, 11:18
... yield of endoscopy in patients with IDA and to define predictive factors of gastrointestinal (GI) lesions causing IDA and identify clinical and biochemical variables that predict the outcome of ... endoscopic and radiographic Asymptomatic colonic and gastric carcinoma may present with IDA and exclusion of these conditions is of prime concern The upper endoscopic evaluation should include random ... Figure This form developed by us for this study The presence of dyspeptic complaint and its severity calculated by presence of abdominal pain, abdominal pain with hungry and anxiety, abdominal distension,...
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Design for aesthetics: interactions of design variables and aesthetic properties pdf
Ngày tải lên :
30/03/2014, 16:20
... reference (frontal, profile, median) comparative size and spacing of features • degree of symmetry of arrangements of objects about centre of mass, major axes and planes of references of the whole product ... dimension of one object (or feature) and that of another A number of standard good proportion exist (e.g the golden section) Areal and volumetric refers to similar relations in the areas and volumes of ... aesthetics in a number of ways By manipulating the identified design variables in terms of shape, composition and physical properties of a a given designed product, aesthetic judgements and responses...
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independent and stationary sequences of random variables
Ngày tải lên :
08/04/2014, 12:28
... I A IBRAGIMOV AND Yu V LINNIK University of ' Leningrad, Leningrad INDEPENDENT AND STATIONARY SEQUENCES OF RANDOM VARIABLES Edited by PROFESSOR J F C KINGMAN University of Oxford, Oxford, ... contents and methods of attack of this book, and we seek therefore to so in this preface The problems studied here concern sums of stationary sequences of random variables, including sequences of ... integral 235 Expansion of R as a Taylor series 236 Further transformations 238 10 Completion of the proof of sufficiency 240 11 Proof of the necessity 241 12 Completion of the proof 243 Chapter 13...
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Independent And Stationary Sequences Of Random Variables ppt
Ngày tải lên :
27/06/2014, 03:20
... expectation of X, and is denoted by the symbol E(X) I f X is a random vector with values in R" and distribution F, and is a Borel measurable function from R" to R, then (X) is a random variable, and ... assumption of the theorem, the distribution functions of the two components of the left-hand side of (2 6) converge respectively to F (a l x + b 1) and F (a x + b 2), while that of the right-hand side ... distributions can arise as limits of distributions of sums of independent random variables Consider, for each n, a collection of independent random variables, Xnl , Xn2, , Xnkn The Xnk are said...
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Independent And Stationary Sequences Of Random Variables - Chapter 1 pptx
Ngày tải lên :
02/07/2014, 20:20
... expectation of X, and is denoted by the symbol E(X) I f X is a random vector with values in R" and distribution F, and is a Borel measurable function from R" to R, then (X) is a random variable, and ... 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 ... distributions can arise as limits of distributions of sums of independent random variables Consider, for each n, a collection of independent random variables, Xnl , Xn2, , Xnkn The Xnk are said...
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Independent And Stationary Sequences Of Random Variables - Chapter 2 ppt
Ngày tải lên :
02/07/2014, 20:20
... assumption of the theorem, the distribution functions of the two components of the left-hand side of (2 6) converge respectively to F (a l x + b 1) and F (a x + b 2), while that of the right-hand side ... Bergstrom [16] and Pollard [135] The special case of the "extreme" stable laws p(x ; a, + 1) is due to Kolmogorov The method of proof is that of contour integration and, later, the technique of steepest ... D From the asymptotic expansion of p' (x ; a, /3) for large x it follows that D is bounded, and contains at most a finite number of points of /3 = and none of of /3 =1 It is not difficult to...
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Independent And Stationary Sequences Of Random Variables - Chapter 4 ppt
Ngày tải lên :
02/07/2014, 20:20
... was that of de Moivre and Laplace In the last fifteen years local limit problems have been studied by many authors, notably Gnedenko, whose work on the subject was motivated by the work of Khinchin ... of some stable distribution G with exponent a (0
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Independent And Stationary Sequences Of Random Variables - Chapter 5 pot
Ngày tải lên :
02/07/2014, 20:20
... domain of attraction of a stable law is not reduced by replacing weak convergence by convergence in Lp, and the remaining sections deal with the case of normal convergence § Domains of attraction ... attraction of G (of exponent a) such that, for all n and all p < a -1, 00 IF„(x)-G(x)IPdx = oo 00 Suppose therefore that F is in the domain of attraction of a stable law G - of exponent a, and that ... is in the domain of attraction of Ga , then IIFn-Gall -* o This chapter is devoted to a study of the analogous problem in the space DOMAINS OF ATTRACTION OF STABLE LAWS LP of functions Ilfii,=...
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Independent And Stationary Sequences Of Random Variables - Chapter 6 pptx
Ngày tải lên :
02/07/2014, 20:20
... a power series constructed by means of the cumulants of the XX , and converging in a neighbourhood of z = 0, which conversely determines the distribution of X X , and x e -2` Z dt G (x) = (27r) ... centralised and normalised sums of independent variables, i e the stable laws And of course there is a corresponding problem of local limit theorems In the following chapters, several systems of limiting ... we can speak of the "domain of attraction" of the "limiting tails" The problem of discovering the possible forms of the limiting tails is closely analogous to the classical problem of characterising...
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Independent And Stationary Sequences Of Random Variables - Chapter 7 potx
Ngày tải lên :
02/07/2014, 20:20
... (7.1 1) and (7 2) will be proved by the method of steepest descents „ A local limit theorem for probability densities Let the Xj belong to (C, d) and denote their characteristic function by 00 ... completely determined by K (z), converges for sufficiently small -r, and is called Cramer's series The series in (7 18) is the Taylor expansion of K (z) about z o , and its radius of convergence is ... theorem for lattice variables We now proceed to the proof of Theorem 7.1 We introduce 00 M (z) = E (ezX i) = P k exp [(kh + b) z] , k=-co defined in IRe z i < a because of (7.1 2), and periodic with...
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Independent And Stationary Sequences Of Random Variables - Chapter 8 pps
Ngày tải lên :
02/07/2014, 20:20
... REFINEMENT BY PETROV Chap 172 „ The introduction of auxiliary random variables Since E (exp a JXX j) < oo , we may write, for Jhj
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Independent And Stationary Sequences Of Random Variables - Chapter 9 ppsx
Ngày tải lên :
02/07/2014, 20:20
... The case of (9.2 3) is treated similarly Theorem 2 For random variables of class (d) the condition (9.2 1) is necessary in order that [0, n" p (n)] and [- n" p (n), 0] should be zones of local ... that [0, no'/p,(n)] and, by a similar argument, [ - no'/p1(n), 0] are zones of local normal attraction If on the other hand a > a and Y'so+3 00, then [0, n"] cannot be a zone of local normal attraction, ... no'p (n) ] and [ - n" p (n), 0] to be zones of local normal attraction, is also sufficient for [0, n"/p (n)] and [ - n"/p (n), 0] to be zones of local normal attraction If on the other hand < a...
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Independent And Stationary Sequences Of Random Variables - Chapter 10 potx
Ngày tải lên :
02/07/2014, 20:20
... (10.1 9) is satisfied (and then by the previous theorem (10 10) and (10.1 11) follow) These theorems are, of course, of collective type in the sense of Chapter ; the moments of X~ (up to order s+ ... Application of the method of steepest descents The integrand of (10 10) is an entire function, since Km (t) is a polynomial Set z=x/n+, 1
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Independent And Stationary Sequences Of Random Variables - Chapter 11 doc
Ngày tải lên :
02/07/2014, 20:20
... 16.1) and (11 2) implies the existence of third moments, but not that of moments of all orders In this case it is possible [4] to establish by classical methods that [0, (log n)2 / p (n)] and ... (n)] and [ - nZ - R/p (n) ] are zones of local normal attraction, and completes the proof of Theorem 11 2.1 „ 11 The corresponding integral theorem Consider first the monomial zones [0, n"] and ... Let XX be random variables with E (Xi) = 0, V (X;) = 1, and suppose that (11.2.2) is satisfied, where h (x) is a function of Class I We begin by following „ ; determine ° from (11 6) and set ...
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Independent And Stationary Sequences Of Random Variables - Chapter 12 ppsx
Ngày tải lên :
02/07/2014, 20:20
... COMPLETION OF THE PROOF 243 „ 12 Completion of the proof Now suppose that [0, no'p (n)] and [ - n" p (n), 0] are zones of normal attraction, and consider the distribution function F§ (x) of n (S§ ... required integral theorem „ 11 Proof of the necessity We now complete the proof of Theorem 12 by showing that, if [0, n" p (n) ] and [ no 'p (n), 0] are zones of normal attraction, then (12 2.1) ... proved by the methods of Chapter „ An upper bound for the probability of a large deviation We now proceed to the proof of the sufficiency part of Theorem 12 2, assuming (12 3) and ~f 3=`r4= where...
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Independent And Stationary Sequences Of Random Variables - Chapter 13 pdf
Ngày tải lên :
02/07/2014, 20:20
... the original variables also In view of the definition of K, we can replace [2K] by (s], to obtain (13 2) Finally (13 3) is derived by replacing X by -Xi The theorems of this chapter of course ... -1 ( 13.2.4) The distribution functions of Z n and n will be denoted by Fn (x) and Fn (x) respectively, and their characteristic functions by fn (t) and fn(t), so that n2"-1 t fn (t) = fn (t) ... 2.2) Zn = Sn/6n- , and a modified random variable Z n = Zn + Yn /6n ( 13 3) , where Yn is a random variable, independent of the Xj , and having a normal distribution with mean and variance n "...
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Independent And Stationary Sequences Of Random Variables - Chapter 14 docx
Ngày tải lên :
02/07/2014, 20:20
... most likely to be because exactly one of the summands is very large ; the probability of S§ being large as a result of an accumulation of moderately large summands is comparatively small Since the ... with A a > 0, and s>0 The class of such probability densities we call (A) Such variables have only a finite number of moments, and the role of the linear functionals aj , b i is layed by pseudomoments ... determined by a finite number of linear functionals of the distribution of X1 , called pseudomoments This theorem has a collective character since the asymptotic form is determined by a finite number of...
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Independent And Stationary Sequences Of Random Variables - Chapter 15 pptx
Ngày tải lên :
02/07/2014, 20:20
... Is'- (15.2.1) The proof of this theorem requires a number of auxiliary results Lemma 15.2.1 Let 21 be a set of n elements, and K a class of subsets of 21 that no member of K is contained in ... DISTRIBUTIONS OF SUMS OF INDEPENDENT COMPONENTS Chap 15 Thus the class K' obtained from K o by replacing A , , A, by B , , B, is larger than Ko and satisfies the conditions of the lemma, and this ... members of K o each have size m Thus the number of members of Ko cannot exceed the number of subsets of 2C of size...
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Independent And Stationary Sequences Of Random Variables - Chapter 16 ppsx
Ngày tải lên :
02/07/2014, 20:20
... values of t are considered, a semigroup of isometric operators) In the discrete time case, this is the cyclic group of powers of the restriction U of Ti In fact, because of (16 2.3) and (16.2 ... the representation of groups of unitary operators as Fourier-Stieltjes transforms of partitions of the identity (the proof of which can be found in [2]) Theorem 16.3 (von Neumann-Wintner) To each ... STRUCTURE OF L,p AND LINEAR TRANSFORMATIONS 297 Theorem 16 6.1 The space L,,,, consists exactly of the random variables of the form (16.6.1) In fact, we can say more than this Because of (16...
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