Results 241 to 250 of about 235,890 (287)

On weak convergence of probability measures, channel capacity and code error probabilities

IEEE Transactions on Information Theory, 1996
Let \({\mathcal X}\) be the possibly infinite set of channel inputs and \({\mathcal Y}\) the output alphabet where \({\mathcal Y}\) is the Borel \(\sigma\)-field of a separable metric space \(({\mathcal Y},d)\). A channel \({\mathcal C}\) is a family of probability measures on \({\mathcal Y}\), i.e., \({\mathcal C}=(P^x)_{x\in{\mathcal X}}\) where \(P ...
H. Schwarte
semanticscholar   +2 more sources

Almost sure weak convergence of random probability measures

Stochastics, 2006
Given a sequence (μ n ) of random probability measures on a metric space S, consider the conditions: (i) μ n →μ (weakly) a.s. for some random probability measure μ on S; (ii) μ n (f) converges a.s. for all f∈C b (S). Then, (i) implies (ii), while the converse is not true, even if S is separable. For (i) and (ii) to be equivalent, it is enough that S is
P. Berti, L. Pratelli, P. Rigo
semanticscholar   +4 more sources

Weak convergence of probability measures and random functions in the function space D[0,∞)

Journal of Applied Probability, 1973
This paper extends the theory of weak convergence of probability measures and random functions in the function space D[0,1] to the case D [0,∞), elaborating ideas of C. Stone and W. Whitt. 7)[0,∞) is a suitable space for the analysis of many processes appearing in applied probability.
T. Lindvall
semanticscholar   +2 more sources

On Weak Convergence of Probability Measures in a Banach Space

Journal of Mathematical Sciences, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Baushev
semanticscholar   +2 more sources

Weak Convergence of Probability Measures Revisited [PDF]

, 1987
The hypo-convergence of upper semicontinuous functions provides a natural framework for the study of the convergence of probability measures. This approach also yields some further characterizations of weak convergence and tightness.
Salinetti, G., Wets, R.J.-B.
openaire   +2 more sources

Weak Convergence of Probability Measures of Trotter–Kato Approximate Solutions of Stochastic Evolution Equations

Infosys Science Foundation Series, 2020
The paper considers semilinear stochastic evolution equations in real Hilbert spaces. The goal here is to establish the weak convergence of probability measures induced by mild solutions of Trotter–Kato approximating equations.
T. Govindan
semanticscholar   +2 more sources

Weak convergence of probability measures of Yosida approximate mild solutions of neutral SPDEs

Statistics & Probability Letters, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Govindan
semanticscholar   +3 more sources

Weak convergence of probability measures in the spaces of continuously differentiable functions

Siberian Mathematical Journal, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Prigarin
semanticscholar   +2 more sources

Weak Convergence of Probability Measures

International Encyclopedia of Statistical Science, 2011
M. Merkle
semanticscholar   +2 more sources

Subsemigroups of Completely Simple Semigroups and Weak Convergence of Convolution Products of Probability Measures

Semigroup Forum, 2004
Let \(S\) be a completely simple semigroup with a given Rees product structure \(A\times B\times C\). A subsemigroup of \(S\) is called a product subsemigroup if it can be represented in a way compatible with the product structure. The authors give conditions under which a subsemigroup of \(S\) is such a product subsemigroup. The area of application of
G. Budzban, A. Mukherjea
semanticscholar   +2 more sources