On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups

From MaRDI portal
Publication:5521097

DOI10.1007/BF00535358zbMath0144.39504OpenAlexW262736837MaRDI QIDQ5521097

Imre Csiszár

Publication date: 1966

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00535358




Related Items (37)

Convolution products of probability measures on completely simple semigroupsNecessary and sufficient conditions for the convergence of convolution products of non-identical distributions on finite Abelian semigroupsQuasi-entropies for states of a von Neumann algebraInfinite convolutions of probability measures on Polish semigroupsA Note on the Convolution of Probability MeasuresQuasi-entropies for finite quantum systemsOn convolution powers on semidirect productsDissipation of convolution powers in a metric groupStrong uniform convergence of composition sequences of probability measures on locally compact topological semigroupsMean ergodic theorems for power bounded measuresLimits of convolution iterates and properties of random walks defined on regular semigroups with applications to matrix semigoupsConcentration functions in locally compact groupsRandom walks on almost connected locally compact groups: Boundary and convergenceDistal actions and shifted convolution propertyOperator decomposable measures and stochastic difference equationsA general purity law for convolution semigroups with discrete Levy measureKrengel--Lin decomposition for probability measures on hypergroups.Concentration functions and a class of non-compact groupsLimit theorems for probability measures on non-compact groups and semi-groupsUnnamed ItemNon-homogeneous Markov chains: Tail idempotents, tail sigma-fields and basisAround Tsirelson's equation, or: the evolution process may not explain everythingConvolution products of nonidentical distributions on a topological semigroupOn shifted convolution powers of a probability measureOn the convolution iterates of a probability measureExtremal solutions for stochastic equations indexed by negative integers and taking values in compact groupsBemerkung über Faltungspotenzen eines Wahrscheinlichkeitsmaßes auf kompakten GruppenMore on limit theorems for iterates of probability measures on semigroups and groupsOn limiting behavior of probability measures on locally compact semigroupsOn summability of pairs of convolution sequences of probability measures on locally compact semigroupsConvergence of products of independent random variables with values in a discrete semigroupProbability inequalities and tail estimates for metric semigroupsThe concentration function problem for locally compact groups revisited: nondissipating space-time random walks, \(\tau\)-decomposable laws, and their continuous time analoguesFactorization of probability measures on locally compact groupsLimit Theorems for Convolution Iterates of a Probability Measure on Completely Simple or Compact SemigroupsTheory of decomposition in semigroupsTortrat groups -- groups with a nice behavior for sequences of shifted convolution powers




Cites Work




This page was built for publication: On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups