LOEVE, M. 1978. Probability Theory, vol. 2. Springer-Verlag, New York. Home/Search Document Not in Database Summary Related Articles Check |
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A Stochastic Projection Method for Fluid Flow I. Basic .. - Le Maître.. (2001) (Correct)
....to the standard deviation of the viscosity. Remark. The index on # is introduced in order to emphasize the fact that the present approach can be extended to the situation where # is a random process with spatial variation. In this case, we rely on the Karhunen Loeve expansion to decompose # as [16], # 0 (x) L # i # i (x)# i , where the # i s are deterministic coefficients, the # i s are orthogonal (uncorrelated) Gaussian random variables, the functions # i (x) are the eigenvalues of the viscosity autocorrelation function, and L is the order of the expansion. While we do not ....
M. Loeve, Probability Theory (Springer-Verlag, Berlin/New York, 1977).
Bayesian, MaxMin, and other concepts of rationalizability - Stanis Law Ambroszkiewicz (Correct)
....2. Since u i is continuous, and the sets A i ; A Gammai compact, there are numbers m; M such that for all a i 2 A i and a Gammai 2 A Gammai : m u i (a i ; a Gammai ) M . Now let us consider F a; i.e. the cumulative distribution function of random variable X a; By a theorem of Lebesgue [14], this distribution function may be uniquely represented as a sum of discrete distribution function and two continuous distribution functions: singular and absolutely continuous. Let us consider the graph of F a; t M x 0 d t 1 Let us modify this graph in the following way: for every ....
M. Lo'eve, Probability Theory, Princeton 1963.
A Spectral Stochastic Finite Element Implementation of.. - Narayanan, Zabaras (Correct)
....Thus we employ a pseudo spectral discretization in which a mesh finite di#erence grid is used to discretize space and time and a global spectral expansion is used to discretize the sample space. In this context, we consider two global spectral expansion techniques, the Karhunen Loeve expansion [1] for system inputs and the polynomial chaos expansion [2] for system outputs and non Gaussian processes. In the context of thermal transport and fluid flow problems, the spectral stochastic approach has been used with a stochastic projection method in conjunction with finite di#erence techniques ....
....initial and boundary conditions. rious if the pollutant transport is coupled with other solvers. This problem is considered in [14] The simulation was performed for uncertainty in the initial conditions and the velocity field. The velocity field was assumed to be a Gaussian and of the form a = [1, 0] (1 0.05#) 6.4) The uncertainty in initial conditions was taken to be a Gaussian with coe# 27 0 0.5 1 1 2 3 4 0 0.5 1 1.5 0.05 0.1 First 1 2 3 4 0 0.5 1 1.5 Fig. 16. Pure advection of a cosine hill along a rectilinear flow path: Initial conditions; a) Mean solution ....
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M. Loeve, Probability Theory, fourth ed., Springer-Verlag, Berlin, 1977.
Quickselect and Dickman function - Hwang, Tsai (2000) (3 citations) (Correct)
....the distribution W is uniquely characterized by its moments by Carleman s criterion, which states that the moment sequence uniquely characterizes the distribution if g 1 (2k) #. The result (13) for m = 1 is thus proved by the Frechet Shohat moment convergence theorem (see Loeve [25]) Note that the moment generating function G(z) E(e Wz ) satisfies G(z) G(xz)e x(1 x)z dx. Also # # uniformly in t. Proof of (5) Consider first the di#erence nT n,m (y) 1)T n 1,m 1 (y) By (10) we have n(T n,m (y) T n 1,m 1 (y) 2#j m # T n j,m j (y) V n,m ....
Loeve, M. (1977) Probability Theory. I, Fourth Edition, Springer-Verlag, New York.
Phase Change of Limit Laws in the Quicksort Recurrence Under .. - Hwang, Neininger (2001) (7 citations) (Correct)
.... the higher moments of the scaled random variable, applying Carleman s criterion to justify the unicity of the limit law, and then concluding the convergence in distribution and of all moments (or convergence in L p for all p 0) by the Frechet Shohat moment convergence theorem (see Loeve [43]) While the method of moments is usually used as the last weapon for proving limit laws, it does have some advantages: first, it provides more information than weak convergence; second, it is more transparent, self contained, and requires less advanced theory. We systematize the use of this ....
....# a g b g c B(b# 1, c# 1) It follows, by the asymptotic transfer lemma, that 2) Thus if we define g m recursively by then (20) holds for all m 1. Note that g m = # m for m 1; see (12) We conclude, by the Frechet Shohat moment convergence theorem (see [43]) and Lemma 4, that is the sequence of moments of some distribution function and that (X n #[t]n) n L(n) converges in distribution to Y # . Case L2. # = 1. Define this time # n (y) P n (y)e xny , where x n = E(X n ) Then # 0 (y) 1 and # k (y)# n 1 k (y)e # n,k y where ....
M. Loeve, Probability Theory. I, Fourth Edition, Springer-Verlag, New York, 1977.
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M. Loeve. Probability Theory. Van Nostrand, 1955.
Adversarial Queuing Theory - Allan Borodin University (Correct)
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LOEVE, M. 1978. Probability Theory, vol. 2. Springer-Verlag, New York.
Developments in Stochastic Structural mechanics - Schuëller (2006) (Correct)
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M. Loeve, Probability Theory, Van Nostrand 1955.
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M. M. Loeve. Probability Theory. Van Nostrand, Princeton, 1955.
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M. Lo`eve, Probability Theory I , 4th Ed., Springer-Verlag, New York, 1977.
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M. Loeve (1977) Probability Theory, Vol. 1 (4th edition). Springer, Berlin.
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Continuous Parametrization of Normal Distributions for.. - Gräßl, Deinzer, Niemann (Correct)
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M. Loeve. Probability Theory. Springer, New York, 4th edition, 1978.
Face Recognition in Subspaces - Shakhnarovich, Moghaddam (2004) (Correct)
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M. M. Loeve. Probability Theory. Van Nostrand, Princeton, 1955.
Quantum-Inspired Evolutionary - Algorithm-Based Face Verification (2003) (Correct)
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Loeve, M.: Probability Theory. Princeton, N.J., Van Nostrand (1955)
Variational multiscale stabilized FEM formulations for.. - narayanan, Zabaras (2004) (Correct)
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Discrepancy and Uniformity - Finch (2004) (Correct)
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M. Loeve, Probability Theory. I,4 ed., Springer-Verlag, 1977, p. 297; MR0651017 (58 #31324a).
Valuation Equilibria - Jehiel, Samet (2003) (Correct)
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Loeve, M. (1963): Probability Theory , D. Van Nostrand, Third ed. 17
Inverse Problems in Heat Transfer - Zabaras (2004) (Correct)
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M. Loeve, Probability Theory, 4th ed., Springer-Verlag, Berlin, 1977. 52
Continuous Parametrization of Normal Distributions for.. - Gräßl, Deinzer, Niemann (Correct)
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M. Loeve. Probability Theory. Springer, New York, 4th edition, 1978.
Cramer-Rao Type Integral Inequalities for General Loss.. - Prakasa Rao Indian (Correct)
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SP EDICS Classification: 2-ADPT - Blind Adaptive Estimation (Correct)
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M. Loeve, Probability Theory. Van Norstrand, 1955.
Asymptotic Expansions of the Robbins-Monro Process - Dippon (2002) (Correct)
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M. Loeve. Probability Theory. Van Nostrand, Princeton, 3rd edition, 1963.
On Convergence Rates in the Central Limit Theorems for.. - Hwang (1998) (19 citations) (Correct)
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M. Loeve, Probability Theory, Forth edition, Springer-Verlag, New York, 1977.
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