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Weak Convergence of an Autoregressive Process Used in Modeling Population Growth
W. G. Cumberland and Z. M. Sykes
Journal of Applied Probability
Vol. 19, No. 2 (Jun., 1982), pp. 450-455
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3213500
Page Count: 6
You can always find the topics here!Topics: Ornstein Uhlenbeck process, Autoregressive models, Population growth, Approximation, Statism, Random variables, Modeling, Population dynamics, Population size, Research grants
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Under simple limiting conditions a first-order autoregressive process is shown to converge weakly to an Ornstein-Uhlenbeck process. The result is discussed in the context of modeling vital rates for biological populations in random environments.
Journal of Applied Probability © 1982 Applied Probability Trust