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Journal of Soviet Mathematics, 1987
This is a survey article of that literature of classical branching process theory which has appeared since \textit{B. A. Sevast'yanov}'s survey in ibid. 1968, 5-48 (1968; Zbl 0196.189). By ''classical'' is meant: a finite number of types, independence of evolutionary lines, reproduction law homogeneous through time.
Vatutin, V. A., Zubkov, A. M.
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This is a survey article of that literature of classical branching process theory which has appeared since \textit{B. A. Sevast'yanov}'s survey in ibid. 1968, 5-48 (1968; Zbl 0196.189). By ''classical'' is meant: a finite number of types, independence of evolutionary lines, reproduction law homogeneous through time.
Vatutin, V. A., Zubkov, A. M.
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Probability in the Engineering and Informational Sciences, 1988
A set of niarms of typei, i= 1,…, L, is available. A pull of arm of typeioccupies a duration Viat the end of which a reward Ciand Ni1,…, NiLnew arms are obtained, while all other arms are frozen. A Gittins priority order of types is obtained and shown to yield the maximal discounted reward from this branching process of arms.
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A set of niarms of typei, i= 1,…, L, is available. A pull of arm of typeioccupies a duration Viat the end of which a reward Ciand Ni1,…, NiLnew arms are obtained, while all other arms are frozen. A Gittins priority order of types is obtained and shown to yield the maximal discounted reward from this branching process of arms.
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Integrals of branching processes
Biometrika, 1967SUMMARY For age-dependent branching processes X(t) integrals of the type Y(t) = f X(s) ds are studied. These may be looked upon as a measure of the amount of toxins produced in time (0, t) by a colony of bacteria. An integral equation for the moment generating function of {X(t), Y(t)} is deduced and used to analyze the asymptotic behaviour of the two ...
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2005
Biology takes a special place among the other natural sciences because biological units, be they pieces of DNA, cells or organisms, reproduce more or less faithfully. As for any other biological processes, reproduction has a large random component. The theory of branching processes was developed especially as a mathematical counterpart to this most ...
Haccou, P., Jagers, P., Vatutin, V.A.
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Biology takes a special place among the other natural sciences because biological units, be they pieces of DNA, cells or organisms, reproduce more or less faithfully. As for any other biological processes, reproduction has a large random component. The theory of branching processes was developed especially as a mathematical counterpart to this most ...
Haccou, P., Jagers, P., Vatutin, V.A.
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Controlled Branching Processes
Theory of Probability & Its Applications, 1974Sevast'yanov, B. A., Zubkov, A. M.
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International Statistical Review / Revue Internationale de Statistique, 1975
SAMUEL KARLIN, HOWARD M. TAYLOR
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SAMUEL KARLIN, HOWARD M. TAYLOR
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Journal of the American Statistical Association, 1986
Olle Nerman, S. Asmussen, H. Hering
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Olle Nerman, S. Asmussen, H. Hering
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