On the Continuity of the Distribution of a Sum of Dependent Variables Connected with Independent Walks on Lines
From MaRDI portal
Publication:4082769
DOI10.1137/1119015zbMath0321.60053OpenAlexW2084725870MaRDI QIDQ4082769
Publication date: 1974
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1119015
Related Items
Stability of perpetuities ⋮ Recurrent random walks in nonnegative matrices. II ⋮ On an autoregressive process driven by a sequence of Gaussian cylindrical random variables ⋮ Distributional properties of solutions of dVt = Vt-dUt + dLt with Lévy noise ⋮ On distributional properties of perpetuities ⋮ Nested classes of \(C\)-decomposable laws ⋮ Asymptotic properties of a branching random walk with a random environment in time ⋮ Divergence criteria for random series related to the Azéma-Emery martingale process ⋮ Unnamed Item ⋮ Refinement equations and distributional fixed points ⋮ Central limit theorems for a supercritical branching process in a random environment ⋮ Continuous dependence in a problem of convergence of random iteration ⋮ On generalized multiplicative cascades ⋮ Renorming divergent perpetuities ⋮ Products of random affine transformations ⋮ Random iteration with place dependent probabilities ⋮ On a continuous analogue of the stochastic difference equation \(X_ n\) = rho X//(n-1) + \(B_ n\). ⋮ Process convergence for the complexity of radix selection on Markov sources ⋮ Sharp Bounds for Generalized Order Statistics via Logarithmic Moments ⋮ On a functional equation related to a problem of G. Derfel ⋮ STATIONARITY OF THE SOLUTION OF Xt= AtXt-1+ εtAND ANALYSIS OF NON-GAUSSIAN DEPENDENT RANDOM VARIABLES ⋮ Limit theorems for a supercritical branching process with immigration in a random environment ⋮ Probability distribution functions of the Grincevičjus series ⋮ Matrix refinement type equations ⋮ Perpetuities and asymptotic change-point analysis ⋮ Tightness of products of iid random matrices ⋮ Inhomogeneous refinement equations with random affine maps ⋮ On the simulation of shot noise and some other random variables ⋮ An exponential functional of random walks ⋮ Convergence of complex martingale for a branching random walk in an independent and identically distributed environment ⋮ Random iteration and Markov operators ⋮ Continuity properties of distributions with some decomposability ⋮ Refinement type equations and Grincevičjus series ⋮ Moduli of continuity for the Lyapunov exponents of random 𝐺𝐿(2)-cocycles ⋮ A law of large numbers and central limit theorem for the logarithm of an autoregressive process with a stationary driving sequence ⋮ Random walks in a moderately sparse random environment ⋮ Properties of stationary distributions of a sequence of generalized Ornstein-Uhlenbeck processes ⋮ Divergent Perpetuities Modulated by Regime Switches ⋮ Continuity properties of decomposable probability measures on Euclidean spaces ⋮ An integral representation for selfdecomposable banach space valued random variables ⋮ Analysis of the archetypal functional equation in the non-critical case