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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
DOI: 10.2307/3213500
Stable URL: http://www.jstor.org/stable/3213500
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Weak Convergence of an Autoregressive Process Used in Modeling Population Growth
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Abstract

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.

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