random elements
Stability for randomly weighted sums of random elements
... Abstract. Let {X n : n = 1, 2, 3,...} be a sequence of i.i.d. random elements taking values in a separable Banach space of type p and let {A n,i : i = 1, 2,3,... ; n = 1, 2, 3,...} be an array of ...
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On strong laws of large numbers for arrays of rowwise independent random elements
... Jain [3] obtained a uniform strong law of large numbers for sequences of i.i.d, random elements in separable Banach spaces of type 2 which would yield 1.2 with p 1 for an array of i.i.d,[r] ...
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Convergence in mean of weighted sums of {ank} compactly uniformly integrable random elements in Banach spaces
... KEYWORDS AND PHRASES: Weighted sums, random elements in separable Banach spaces, compactly uniform integrability, {,,, }-compactly uniform integra.bility, tightness, {an, }uniform integr[r] ...
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Best Possible Sufficient Conditions for Strong Law of Large Numbers for Multi Indexed Orthogonal Random Elements
... orthogonal random variables or Banach space-valued random elements are investigated by several ...real-valued random variables with 0 means and finite second moments is ∞ k = 1 (σ k 2 /k 2 ) · ...
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Strong laws of large numbers for weighted sums of random elements in normed linear spaces
... STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF RANDOM ELEMENTS IN NORMED LINEAR SPACES ANDRE ADLER.. Department of Mathematics Illinois Institute of Technology Chicago, Illinois 60616[r] ...
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Strong laws of large numbers for arrays of row wise exchangeable random elements
... In this section, strong laws of large numbers for triangular arrays of row-wise exchangeable random elements in type p ed... 8 separable Banach spaces will be establish-.[r] ...
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The First Order Autoregressive Model with Coefficient Contains Non Negative Random Elements: Simulation and Esimation
... The RCA models have been studied by several authors [1-3]. Most of their theoreic properties are well-known, including conditions for the existence and the uniqueness of a stationary solution, or for the existence of ...
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Strong laws of large numbers for arrays of rowwise independent random elements
... STRONG LAWS OF LARGE NUMBERS FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM ELEMENTS ROBERT LEE TAYLOR Department of Statistics University of Georgia Athens, GA 30602 U.S.A... TIEN.CHUNG HU De[r] ...
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Complete convergence for sums of arrays of random elements
... Abstract. Let {X ni } be an array of rowwise independent B-valued random elements and {a n } constants such that 0 < a n ↑ ∞. Under some moment conditions for the array, it is shown that n i=1 X ni /a n ...
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Complete convergence for weighted sums of arrays of random elements
... In this section the complete convergence of weighted sums will be established for random elements in a Banach space which has a Schauder basis... Since the con-.[r] ...
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On the almost sure convergence of weighted sums of random elements in D[0,1]
... Taylor 1979 in that not only is convergence in the Skorohod topology replaced by convergence in the uniform norm but the restrictive condition of convex tightness is replaced by property[r] ...
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An Extension of a result of Csiszar
... On In1nite Products oF Random Elements and Infinite Convolutions oF Probability Distributions on Loclly Coeact Groups.. A Course In Probability Theorg.[r] ...
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Convergence of weighted sums of independent random variables and an extension to Banach space valued random variables
... Weighted Sums, Strong Law of Large Numbers, Almost Se Convergence, Generzed Gaussian Random Variables, Random Elements in Banach Space, Schauder Basis.. AMS MOS SUBJECT CLASSIFICATION 19[r] ...
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Weak Laws of Large Numbers of Cesaro Summation for Random Arrays
... Abstract: In this paper, we establish weak laws of large numbers with or without random indices for Cesaro summation for random arrays of random elements in Banach spaces. Our results are more ...
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Photosynthetic pigment protein complexes as highly connected networks : implications for robust energy transport
... The density matrix formulation of quantum dynamics is particularly suited to modelling EET phenomena [81]; specifically, the reduced density matrix formalism allows one to focus attention on determining system properties ...
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Code Offset in the Exponent
... In concurrent work Bartusek, Lepoint, Ma, and Zhandry [BLMZ19] present two contributions of interest to this work. They consider the pattern matching obfuscation application. Their first contribution raises the upper ...
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The dynamics of Centaurs in the vicinity of the 2:1 mean motion resonance of Neptune and Uranus Trojan region
... Summary: In this work we present the results of a suite of dynamical simulations following the orbital evolution of 8,022 hypothetical Centaur objects. These Centaurs begin our integrations on orbits in the vicinity of ...
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Portfolio Analysis of Financial Market Risks by Random Set Tools
... of random set approach to modeling, measuring and forecasting of financial risks are essentially distinguished from any one mentioned ...of random set to describe financial events and to distinguish between ...
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Fet Small Signal Modelling Based on the Dst and Mel Frequency Cepstral Coefficients
... simulated as uniformly distributed random errors added to the published data. A comparison study is held between the sensitivity of the three methods to the measurement errors in the published parameters. The ...
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Quantum tight binding chains with dissipative coupling
... density elements corresponding to the N-excitation subspace describe 2 N -dimensional classical random walk with losses (see equations for an arbitrary number of initial excitations given in appendix ...
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