Download or read book Asymptotic Behaviour of Measuvevalued Branching Processes written by and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Behaviour of Measure valued Branching Processes written by Miloslav Jiřina and published by . This book was released on 1966 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Branching Processes and Its Estimation Theory written by Ganapathyiyer Sankaranarayanan and published by . This book was released on 1989 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Controlled Branching Processes written by Miguel González Velasco and published by John Wiley & Sons. This book was released on 2018-03-13 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications.

Download or read book The Asymptotic Behaviour of a Critical Branching Process written by Michael Ming Chih Sze and published by . This book was released on 1975 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Behaviour of Near critical Population Size Dependent Multitype Branching Processes written by Fima Chaim Klebaner and published by . This book was released on 1989 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Behavior of Two Level Measure Branching Processes written by Carleton University. Laboratory for Research in Statistics and Probability and published by . This book was released on 1991 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Results and Contributions in Estimation for Branching Processes and Discontinuous Ito Processes written by Gonzalo Contador and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This works makes contributions to the field of Statistics in regards to estimation for Stochastic Processes, both discrete and continuous, in two different subareas, namely Sampling theory and asymptotics of estimates for Galton-Watson Processes under family size sampling, and estimation of total variation and its components for Ito processes with discontinuities. The first chapter describes a sampling procedure for obtaining fixed width con- fidence intervals for population parameters that characterize the offspring distribution of a single dimensional Galton-Watson processes. It is proven that, under certain con- ditions on the stopping time that defines a random sampling size, the criteria given in [Maki and McDunnough(1989)] for an asymptotically iid sample is satisfied. In particular, using a stopping time given by a threshold on the Observed Fischer In- formation as described by [Yu(1989)], one can obtain maximum likelihood estimates based on the size-biased distribution described by [Maki and McDunnough(1989)] and it is proven that this distribution will satisfy the conditions for consistency and asymptotic normality whenever the original offspring distribution does. The second chapter also pertains to estimation in discrete time Galton-Watson processes. A framework for sampling family size data in a multi-type Branching Pro- cess is developed. Here, it is proven that under certain assumptions on the offspring distributions of the mean vectors of each type of individual (namely: supercriticallity, non-extinction and positive regularity), the eigenvalue-eigenvector decomposition of the mean offspring matrix and the corresponding limit behavior described by [Kesten and Stigum(1966)] provides a bound on the sampling size per generation under which the sampled data behaves asymptotically as independent and identically distributed data spanning from a distribution that is a convex combination of the probability dis- tributions of all different types of individuals with coefficients given by the components of the normalized eigenvector associated to the larges eigenvalue of the mean offspring matrix. This convergence is proven to hold in law using characteristic functions and allows for a study of estimates using traditional moments and maximum likelihood techniques.