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Introduction

  • Ibrahim Rahimov
Chapter
Part of the Lecture Notes in Statistics book series (LNS, volume 96)

Abstract

Let us consider the development of a population whose members live, give birth to a finite number of new Individuals, and die. Reproduction and death are properties of all biological populations including demographic and cell populations (see Jagers. 1975, for example). Other examples are the development of families of neutrons in atomic reactors (Vatutin et. al., 1985), the behavior of cosmic ray showers, and the growth of large organic molecules (Uchaykin and Ryjov, 1988; Dorogov and Chistyakov. 1988). All of these processes are characterized by the sane property, namely, their development has a branching form. A branching stochastic process is the mathematical model of such kinds of empirical processes.

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Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Ibrahim Rahimov
    • 1
    • 2
  1. 1.The Institute of MathematicsThe Academy of Sciences of the Republic of UzbekistanTashkentUzbekistan
  2. 2.Department of StatisticsMiddle East Technical UniversityAnkaraTurkey

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