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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 A

The Normal Density

There is a plethora of books on probability and statistics that cover the important normal distribution, and I recommend one among many excellent texts, the volume by Ross [99], especially Chapters 5, 6, and 7, where most of the elementary facts can be found.

Recall that a continuous random variable X is normally distributed with parameters μ and σ if its density function is defined, for all i, by

image (A.1)

It is known that E(X) = μ and Var(X) = σ2. Suppose we have n independent samples X1, X2, . . . , Xn from a normal distribution having an unknown mean that is now designated as θ in order to be consistent with the notation ...

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Publisher Resources

ISBN: 9780124046245