A number q is called a mode of a continuous distribution with a density f (x) if

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A number q is called a mode of a continuous distribution with a density f (x) if f (x) attains its maximum at q. (So, q may be called the most probable value.)

(a) Does a mode have to be unique? If not, give an example.

(b) Find a mode for the normal, exponential, and Γ-distribution.

(c) Find a mode for the uniform distribution.

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Related Book For  book-img-for-question

Probability And Stochastic Modeling

ISBN: 9781439872062

1st Edition

Authors: Vladimir I. Rotar

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