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Journal Article

On Stable Population Theory With Immigration

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Pietro Cerone
Demography (1987) 24 (3): 431–438.
DOI: https://doi.org/10.2307/2061308
Published: 01 August 1987
... of the characteristics of the population at the origin. 9 1 2011 © Population Association of America 1987 1987 Vital Rate Fertility Behavior Convolution Theorem Complex Conjugate Root Population Theory References Bellman , R. , & Cooke , K. L. ( 1963 ). Differential...
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Journal Article

The long-term effects of time-dependent maternity behavior

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P. Cerone
Demography (1983) 20 (1): 79–86.
DOI: https://doi.org/10.2307/2060902
Published: 01 February 1983
... transform of a function f(x) is f*(P) = Iooo e-PXf(x)dx. The important point to note in obtaining (2) is that we have used the Convolution Theorem (Bellman and Cooke, 1963) which states that fooo e-p t 1: B(t - x)cJ>(x)dx dt = B*(P)<fP). (3) Thus, by simple algebra from (2), we have F*(P) B*(P) - 1 - <fP...
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Journal Article

Probability models for family building: An analytical review

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Mindel C. Sheps, Jane A. Menken, Annette P. Radick
Demography (1969) 6 (2): 161–183.
DOI: https://doi.org/10.2307/2060390
Published: 01 May 1969
...) and (Feller, 1941, theorem 4) : ProbabIlity Models for Family Bulld/ng An event can occur at time t for the first time (with probability fo(t)) or it may have occurred at time x (x = 1, 2, t - 1), with a recurrence t - x months later (with probability u(x)f(t - x». Hence u (t) may be expressed as the re...
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