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Disambiguation of "Kendall, David G."

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Stochastic processes and population growth

. J. Roy. Statist. Soc. Ser. B., (1949)

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David G Wigg

David G Long

Arnold Kendall

Kendall Lister

David J G Dwertmann

 

Other publications of authors with the same name

Random delaunay simplexes in m. Journal of Statistical Planning and Inference, 25 (3): 225--234 (July 1990)Branching Processes Since 1873. Journal of the London Mathematical Society, s1-41 (1): 385-406 (1966)Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, Second Edition., , , , and . Wiley Series in Probability and Mathematical Statistics Wiley, (2000)Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces. Bulletin of the London Mathematical Society, 16 (2): 81-121 (1984)On the Generalized "Birth-and-Death" Process. (1948)Stochastic processes and population growth. J. Roy. Statist. Soc. Ser. B., (1949)On some modes of population growth leading to R. A. Fisher's logarithmic series distribution. Biometrika, (1948)The author discusses a ``birth-and-death process'' for which the Kolmogorov differential equations assume the form $$ P_n'(t)=-n(a+b)+cP_n(t)+(n-1)a+cP_n-1(t)\\ +(n+1)bP_n+1(t), $$ where $P_n(t)$ is the probability of a population size $n$. The case $c0$ corresponds to mortality and fertility proportional to the actual population size. The $c$-term accounts for an increase by immigration. The generating function of $P_n(t)$ is obtained and it is shown that for small $c$ one obtains approximations to R. A. Fisher's ``logarithmic series distribution'' which has found several applications in biology..The Genealogy of Genealogy Branching Processes before (and after) 1873. Bulletin of the London Mathematical Society, 7 (3): 225-253 (1975)