Weak convergence of a sequence of stochastic difference equations to a stochastic ordinary differential equation
- 1 December 1987
- journal article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 25 (6) , 643-652
- https://doi.org/10.1007/bf00275500
Abstract
No abstract availableKeywords
This publication has 13 references indexed in Scilit:
- Tightness of Probability measures in D([0,T];C) and D([0,T];D)Journal of the Mathematical Society of Japan, 1986
- Diffusion models of temporally varying selection in population geneticsAdvances in Applied Probability, 1984
- Weak convergence of discrete time non-markovian processes related to selection models in population geneticsJournal of Mathematical Biology, 1982
- Relaxation of Systems under the Effect of a Colored Noise: Exactly Soluble ModelsProgress of Theoretical Physics, 1982
- On the Weak Convergence of a Sequence of General Stochastic Difference Equations to a DiffusionSIAM Journal on Applied Mathematics, 1981
- A martingale method for the convergence of a sequence of processes to a jump-diffusion processProbability Theory and Related Fields, 1980
- The Effects of Environmental Autocorrelations on the Progress of Selection in a Random EnvironmentThe American Naturalist, 1978
- The Dynamics of a Population in a Markovian EnvironmentEcology, 1978
- Diffusion approximations to linear stochastic difference equations with stationary coefficientsJournal of Applied Probability, 1977
- Weak convergence of probability measures and random functions in the function space D[0,∞)Journal of Applied Probability, 1973