Statistical Inference for Branching Processes

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Wiley, Aug 19, 1991 - Mathematics - 224 pages
An examination of the difficulties that statistical theory and, in particular, estimation theory can encounter within the area of dependent data. This is achieved through the study of the theory of branching processes starting with the demographic question: what is the probability that a family name becomes extinct? Contains observations on the generation sizes of the Bienaymé-Galton-Watson (BGW) process. Various parameters are estimated and branching process theory is contrasted to a Bayesian approach. Illustrations of branching process theory applications are shown for particular problems.

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What Can Be Done? 1 The Extinction of Family Lines
A Probabilistic Construction
Asymptotic Behavior

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About the author (1991)

Nils Guttorp 1920-2013 He was an artist and a musician. He exhibited paintings in the 40s and 50s, and served later as organist in Vasterstad/Ostraby, Kavlinge, and Vitaby/Sodra Mellby in souther Sweden.

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