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A stochastic calculus and its application to some fundamental theorems of natural selection
- Source :
- Journal of Applied Probability. 3:327-352
- Publication Year :
- 1966
- Publisher :
- Cambridge University Press (CUP), 1966.
-
Abstract
- Summary In this paper a stochastic calculus, based on limits in quadratic mean and in probability, is introduced and applied to some fundamental theorems of natural selection. The paper is divided into five principal sections. In Section 2 some elements of stochastic calculus are given, and in Section 3 the stochastic calculus is applied to the haploid case. Section 4 is devoted to the development of an analysis of variance structure applicable to a haploid population, and in Section 5 the results of Sections 3 and 4 are generalized to cover the diploid case. Finally, Section 6 is devoted to two specific examples in which the results of previous sections apply.
- Subjects :
- Statistics and Probability
education.field_of_study
Fundamental theorem
General Mathematics
Multivariable calculus
010102 general mathematics
Population
Stochastic calculus
Time-scale calculus
Malliavin calculus
01 natural sciences
010104 statistics & probability
Cover (topology)
Section (archaeology)
Calculus
0101 mathematics
Statistics, Probability and Uncertainty
education
Mathematics
Subjects
Details
- ISSN :
- 14756072 and 00219002
- Volume :
- 3
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Probability
- Accession number :
- edsair.doi.dedup.....5734c4197cdb0dec8024e8f19c7a8bf9