vector calculus generalized transport equations

... generalized inverse G of X. The Gauss-Markov theorem is best understood in the setting of Generalized Linear Model in which, by definition, the n×1 response vector Y is assumed to have mean vector ... thesis: Generalized Estimating Equation method will be presented in detail, and some statistician’s works on GEE method will also be reviewed Trang 14Chapter 2Generalized Estimating Equations ... p × 1 vector of unknown population parameters and X i be a known Trang 12n i × p design matrix linking α to Y i , the n i × 1 vector of the response for subject i Let b i denote a k × 1 vector

Ngày tải lên: 05/10/2015, 13:53

... AR(1)structure 1.3 Generalized Estimating Equations In a seminal paper in 1986, Liang & Zeger (1986) introduced Generalized Estimating Equations (GEE) that extends upon the work of Generalized LinearModels ... Matrixin Generalized Estimating Equations NG WEE TECK NATIONAL UNIVERSITY OF SINGAPORE 2005 Trang 2Infeasibility and Efficiency of Working Correlation Matrixin Generalized Estimating Equations ... Estimated MSE of ˆβ1 for correlated binary data, True EXC Working AR(1) 61 Trang 11Generalized estimating equations (GEEs) have been used extensively in the ysis of clustered and longitudinal

Ngày tải lên: 22/10/2015, 22:37

... 2.3.2 Tổng quan mô hình GEE (Generalized Estimating Equations) Mô hình ban đầu được đề xuất bởi Liang và Zeger (1986) để mở rộng mô hình hồi tuyến tổng quát GLM (generalized linear model) cho ... CHÍNH SÁCH QUẢN LÝ DÒNG TIỀN ĐẾN HIỆU QUẢ TÀI CHÍNH DOANH NGHIỆP VIỆT NAM (MÔ HÌNH GEE-Generalized Estimating Equations) CHUYÊN NGÀNH : TÀI CHÍNH – NGÂN HÀNG MÃ SỐ: 60340201 LUẬN VĂN THẠC SĨ ... sách quản lý dòng tiền đến hiệu quả tài chính doanh nghiệp Việt Nam (Mô hình GEE – Generalized Estimating Equations)” là công trình nghiên cứu của tôi, được thực hiện trên cở sở lý thuyết và

Ngày tải lên: 13/03/2017, 19:22

... analysis, calculus, and differential equations / [edited by] Douglas N Clark. p cm — (Comprehensive dictionary of mathematics) ISBN 0-8493-0320-6 (alk paper) 1 Mathematical analysis—Dictionaries 2 Calculus—Dictionaries ... of the {p j} basic vector field Let M , N be Rieman-nian manifolds andπ : M → N a Rieman-nian submersion A horizontal vector field X on M is called basic if there exists a vector field ˆX on ... (2.) Any system of computations based upon some unifying idea, such as the calculus of residues or calculus of variations. calculus of differential forms The calcu-lus of Grassmann bundles See also

Ngày tải lên: 19/03/2018, 15:57

... (kl)(v1, v2, v3) by Theorem 1.4(a) = (kl)v A unit vector is a vector with magnitude 1 Notice that for any nonzero vector v, the vector kvk v is a unit vector which points in the same direction as ... multiplication of a vector by a scalar inthe previous section on vector algebra, we did not define multiplication of a vector by a vector We will now see one type of multiplication of vectors, called ... 5) (b) The vector (3,4,5) Figure 1.1.6 Correspondence between points and vectors Unless otherwise stated, when we refer to vectors as v = (a, b) in ’2 or v = (a, b, c) in ’3, we mean vectors in

Ngày tải lên: 30/01/2020, 21:59

... the vector sa is on the x-axis between 0 and 2 Similarly the head of the vector tb lies somewhere on the vector b Using the head-to-tail method, sa + tb is the result of translating the vector ... vector from the origin to this new vertex is the vector a + b In the figure on the right we have translated vector b so that its tail is the head of vector a The sum a + b is the directed third side ... This would be pictured by drawing the vector (1, 2, 1) in the opposite direction Finally, 4(1, 2, 1) = (4, 8, 4) which is four times vector a and so is vector a stretched four times as long in

Ngày tải lên: 21/08/2020, 13:44

... 2.3.2 Tổng quan mô hình GEE (Generalized Estimating Equations) Mô hình ban đầu được đề xuất bởi Liang và Zeger (1986) để mở rộng mô hình hồi tuyến tổng quát GLM (generalized linear model) cho ... CHÍNH SÁCH QUẢN LÝ DÒNG TIỀN ĐẾN HIỆU QUẢ TÀI CHÍNH DOANH NGHIỆP VIỆT NAM (MÔ HÌNH GEE-Generalized Estimating Equations) CHUYÊN NGÀNH : TÀI CHÍNH – NGÂN HÀNG MÃ SỐ: 60340201 LUẬN VĂN THẠC SĨ ... sách quản lý dòng tiền đến hiệu quả tài chính doanh nghiệp Việt Nam (Mô hình GEE – Generalized Estimating Equations)” là công trình nghiên cứu của tôi, được thực hiện trên cở sở lý thuyết và

Ngày tải lên: 31/08/2020, 13:38

... "Generalized Estimating Equations and Gaussian Estimation in Longitudinal Data Analysis" (2011) Electronic Theses and Dissertations 5400. https://scholar.uwindsor.ca/etd/5400 Trang 2Generalized ... GEE (generalizedestimating equations) method and the weighted GEE method A Newton-Raphsonalgorithm is derived for estimating the regression parameters from the Gaussian like-lihood estimating equations ... such method is the generalizedestimating equations (GEE) approach proposed by Liang and Zeger (1986) and Zegerand Liang (1986) The GEE method is developed from the theory of generalized lin-ear

Ngày tải lên: 08/09/2021, 16:53

... Article ID 12324, 14 pagesdoi:10.1155/2007/12324 Research Article Iterative Methods for Generalized von Foerster Equations with Functional Dependence Henryk Leszczy ´nski and Piotr Zwierkowski Received ... medium, provided the original work is prop-erly cited 1 Introduction Von Foerster and Volterra-Lotka equations arise in biology, medicine, and chemistry, [1–5] The independent variablesx j and an unknown ... The functional dependence in (1.5), represented by the Hale operators, gen-eralizes von Foerster equations with delays, deviations, and integrals, such as the equation with delays: ∂u ∂t + n 

Ngày tải lên: 22/06/2014, 11:20

... 25 pagesdoi:10.1155/2007/46041 Research Article Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge A Ront ´o and J ˇSremr Received 31 December 2006; Revised ... abstract second-kind equations of type (1.1) in a Banach space with anormal cone, we refer, for example, to [2].2 Definitions, notation, and auxiliary statements LetX be a topological vector space over ... whereT : X → X is a (generally speaking, nonlinear and discontinuous) operator in a real topological vector spaceX, λ is a real constant, and b is a given element of X. The question on the set of all

Ngày tải lên: 22/06/2014, 18:20

... of the vector equilibrium problem, the generalized vector equilibrium problem includes as special cases various problems, for ex-ample, generalized vector variational inequality problem, generalized ... this class of generalized vector equilibrium-like problems Furthermore, these existence theorems can be applied to derive some existence results of solutions for the generalized vector variational-like ... vector variational inequality problem, generalized vector variational-like inequality problem, generalized vector complementarity problem and vector equi-librium problem Inspired by early results

Ngày tải lên: 22/06/2014, 18:20

... orthogonality and with James orthogonality As mentioned before, we will consider functional equations defined only for onal vectors and we will start with the Cauchy functional equation A mapping f from orthog-an ... Moreover, ifR  t → f (tx) ∈ Y is continuous for any fixed x ∈ X, then a is linear Rassias [11] generalized this problem introducing the inequality f (x + y) − f (x) − f (y)  ≤ εx p+y ... Trang 1FUNCTIONAL EQUATIONSJUSTYNA SIKORSKA Received 19 November 2005; Accepted 2 July 2006 We deal with a conditional

Ngày tải lên: 22/06/2014, 21:20

... mathematical model of generalized vector quasiequilibrium problem with set-valued mappings is introduced, and several existence results of a solution for the gen-eralized vector quasiequilibrium ... with intC(x) = ∅for eachx ∈ X, where intC(x) denotes the interior of the setC(x) Then the generalized vector quasi-equilibrium prob-lem with set-valued mappings (GVQEP) is to find (x, y) in X ... withoutΦ-condensing mappings are first shown Theorem 3.1 Let Z be a topological vector space, let E and F be two Hausdorff topological vector spaces, let X ⊆ E and Y ⊆ F be nonempty and convex subsets, let

Ngày tải lên: 22/06/2014, 22:20

... obtained as special cases the existence results for vector quasi-equilibrium problems, generalized vector quasivariational inequality and vector quasi-optimization problems The results of this ... It is called generalized vector quasi-variational-like inequality problem considered and stud-ied by Ding [6] If f ≡0 and clXS(x) = K for each x ∈ K, (2.1) becomes the generalized vector variational-like ... ∗ which is known as vector quasi-variational inequality problem studied by Khaliq, Siddiqi, and Krishan [13] From the above special cases, it is clear that our generalized vector quasi-variational-like

Ngày tải lên: 23/06/2014, 00:20

... Revised October 6, 2005 Abstract Generalized bilevel vector optimization problems are formulated and some sufficient conditions on the existence of solutions for generalized bilevel weakly, Pareto ... Existence of Solutions to Generalized Bilevel Vector Optimization Problems f (x∗ , z ∗ ) ∩ γ Min f (αS(D, K, S, T, F, C))/C) = ∅ 293 (1)(α,γ) This is called an (α, γ) bilevel vector optimization problem ... New-York, 1972, pp 33 F Ferro, A minimax theorem for vector-valued functions, J Optim Theory and Appl 60 (1989) 19–31 J Y Fu, Generalized vector quasi-equilibrium problems, Math Methods of Oper

Ngày tải lên: 06/08/2014, 05:20

... conditions for vector optimization problems with generalized order N V Tuyen Received: date / Accepted: date Abstract The aim of this paper is to present new optimality conditions for vector optimization ... optimality conditions for vector optimization problems with generalized order by using the extremal principle Keywords Vector optimization · Generalized order · Optimality conditions Mathematics Subject ... for nonconvex vector optimization problems with gen-eralized order This motivates us to study the sufficient optimality conditions for vector optimization problems with respect to generalized order

Ngày tải lên: 14/10/2015, 08:35

... in extending the so-called DiPerna–Lions theory for transport equations to the BV setting More precisely, consider the Cauchy problem for a transport equation with variable coefficients ⎧ ⎨ ∂t ... Ordinary differential equations, transport theory and Sobolev spaces Invent Math 98 (1989), 511–517 17 L ASIECKA , I.; T RIGGIANI , R Global exact controllability of semilinear wave equations by a double ... I An analogous remark applies for solutions of the transport equation There are some other important links between the two equations: (1) The transport equation reduces to the continuity equation...

Ngày tải lên: 17/02/2014, 17:20

... = {vectors} Operations with vectors: multiplication by a number, addition Operations with points and vectors: adding a vector to a point (giving a point), subtracting two points (giving a vector) ... velocity vector x(t) m to the velocity vector of the curve F (x(t)) in R : d F (x(t)) ˙ = dF (x(t))(x(t)) dt 12 (27) VECTOR CALCULUS Fall 2002 Proof By the definition of the velocity vector, ˙ ... respective coordinates of the vector r: x = (x1 , , xn ) and r = (x1 , , xn ) The vector r such as in the example is called the position vector or the radius -vector of the point x (Or, in...

Ngày tải lên: 31/03/2014, 15:42

... intentionally left blank Vector Calculus This page intentionally left blank Vectors 1.1 Vectors in Two and Three Dimensions 1.1 Vectors in Two and Three Dimensions 1.2 More About Vectors 1.3 The Dot ... Give vectors F1 and F2 that describe the forces along the ropes More About Vectors The Standard Basis Vectors In R2 , the vectors i = (1, 0) and j = (0, 1) play a special notational role Any vector ... l (i.e., the position − → vector of P(x, y, z)) O P is the vector sum of the position vector b of the given −→ − point P0 (i.e., O P0 ) and a vector parallel to a Any vector parallel to a must...

Ngày tải lên: 22/05/2014, 23:26

... assumptions about means, variances and covariance structures This approach, known as generalized estimating equations (GEEs) was pioneered in the human epidemiology and biostatistics field [23,31], ... detection of non-normal traits observed data set as a vector y = (y1 , y2 , , yn ) where yj = (y1j , y2j , y3j , y4j ) The conditional mean vector is: E (Y|u, Q) = exp (Xβ + Zu + ZQγ) where u ... is not fully parametric, maximum likelihood cannot be used, and we consequently use a generalized estimating equations (GEE) approach [4,11,21,23,27] in which the quasi-likelihood takes the place...

Ngày tải lên: 14/08/2014, 13:22