Branching processes : proceedings of the first World Congress, [Varna, Bulgarien, 5-12 September 1993

This Volume Presents The Edited Proceedings Of The First World Congress On Branching Processes. The Contributions Present New Research And Surveys Of The Current Research Activity In This Field. As A Result, All Those Undertaking Research In The Subject Will Find This A Timely And High-quality Volume To Have On Their Shelves. Supercritical Branching Processes: A Unified Approach / H. Cohn -- On The Statistics Of Controlled Branching Processes / J.-p. Dion And B. Essebbar -- Aspects Of The Critical Case Of A Generalized Galton-watson Branching Process / M.p. Quine And W. Szczotka -- Critical General Branching Processes With Long-living Particles / V.a. Topchij -- Critical Branching Processes With Random Migration / G.p. Yanev And N.m. Yanev -- Some Results For Multitype Bellman-harris Branching Processes With State-dependent Immigration / K.v. Mitov -- Branching Processes As Sums Of Dependent Random Variables / I. Rahimov -- Non-homogenous Decomposable Branching Processes / I. Rahimov, F. Yildirim And A. Teshabaev -- Age-dependent Branching Processes With State Dependent Immigration / M.n. Slavtchova-bojkova And N.m. Yanev -- A New Class Of Branching Processes / S.r. Adke And V.g. Gadag -- The Extinction Time Of The Inhomogeneous Branching Process / J.c. D'souza. C.c. Heyde, Editor. Includes Bibliographical References. Front Matter....Pages i-viii Supercritical Branching Processes: A Unified Approach....Pages 1-13 On the Statistics of Controlled Branching Processes....Pages 14-21 Aspects of the Critical Case of a Generalised Galton-Watson Branching Process....Pages 22-27 Critical General Branching Processes with Long-Living Particles....Pages 28-35 Critical Branching Processes with Random Migration....Pages 36-46 Some Results for Multitype Bellmanharris Branching Processes with State-Dependent Immigration....Pages 47-57 Branching Processes as Sums of Dependent Random Variables....Pages 58-66 Non Homogeneous Decomposable Branching Processes....Pages 67-76 Age-Dependent Branching Processes with State-Dependent Immigration....Pages 77-89 A New Class of Branching Processes....Pages 90-105 The extinction time of the inhomogeneous branching process....Pages 106-117 Smith-Wilkinson Branching Processes with Random Environment and Dependence with Complete Connections....Pages 118-121 Super-Brownian Motions in Catalytic Media....Pages 122-134 Multitype Branching Particle Systems and High Density Limits....Pages 135-143 Representation of Markov Chains as Stochastic Differential Equations....Pages 144-151 An Extension of a Galton-Watson Process to a Two-Sex Density Dependent Model.....Pages 152-168 Multitype Contact Branching Processes....Pages 169-179 Back Matter....Pages 181-182 This volume contains the edited proceedings of the First World Congress on Branching Processes. The contributions present new research and surveys of current research activity in this field.