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Mathematical Models for Society and Biology, 2nd Edition
book

Mathematical Models for Society and Biology, 2nd Edition

by Edward Beltrami
June 2013
Intermediate to advanced content levelIntermediate to advanced
288 pages
8h 12m
English
Academic Press
Content preview from Mathematical Models for Society and Biology, 2nd Edition
Appendix B

Poisson Events

I want to establish some of the properties of Poisson processes that were employed in Chapters 3 and 6 and were either left unproven there or explained by simple heuristics. Certain standard results, such as the mean and variance of a Poisson distribution, can be found in the books by Ross [99, 100], the ones chosen among the many other possible references in probability that could have been cited.

Note that throughout this appendix I assume a certain familiarity with the notion of conditioning one random variable on another, as explained, for example, in Chapters 6 and 7 of Ross [99] and in Appendix D.

To begin with, let’s return to two results stated but not proved in Section 3.2. First, Let Ni(t) be independent Poisson ...

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Publisher Resources

ISBN: 9780124046245