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Some aspects of modern population mathematics
Author(s) -
Brillinger David R.
Publication year - 1981
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314611
Subject(s) - ergodic theory , martingale (probability theory) , semigroup , mathematics , nonlinear system , bifurcation theory , dynamical systems theory , mathematical and theoretical biology , markov process , population , statistical physics , mathematical economics , calculus (dental) , bifurcation , pure mathematics , statistics , physics , medicine , demography , dentistry , quantum mechanics , sociology , biology , genetics
The purpose of this paper is to survey a number of the technical tools and models that have found use in the study of human and other populations, and to indicate some problems of current interest. These tools and models are varied: integral equations, nonlinear oscillations, differential geometry, dynamical systems, nonlinear operations, bifurcation theory, semigroup theory, martingale theory, Markov processes, diffusion processes, branching processes, ergodic theory, prediction theory and state‐space models. A fairly extensive bibliography is provided. Also an Appendix has been added describing the analysis of a classical entomological data set.