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The average number of maxima of a random algebraic curve

Published online by Cambridge University Press:  24 October 2008

Minaketan Das
Minaketan Das
Affiliation:
F. M. College, Balasore, India
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Abstract

Let g0, gl, g2,…be a sequence of mutually independent, normally distributed random variables with mathematical expectation zero and variance unity. In this work, we obtain the average number of maxima (minima) of the random algebraic curves with the equations

This average is (½(3½ + 1)) log N + O((log N)⅔ (log log N)½), when N is large.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 741 - 753
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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