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On the variance of the number of real roots of a random trigonometric polynomial

Authors :
Farahmand, K.
Source :
International Journal of Stochastic Analysis; 1990, Vol. 3 Issue: 1
Publication Year :
1990

Abstract

This paper provides an upper estimate for the variance of the number of real zeros of the random trigonometric polynomial g1cosθ+g2cos2θ+…+gncosnθ. The coefficients gi(i=1,2,…,n) are assumed independent and normally distributed with mean zero and variance one.

Details

Language :
English
ISSN :
20903332 and 20903340
Volume :
3
Issue :
1
Database :
Supplemental Index
Journal :
International Journal of Stochastic Analysis
Publication Type :
Periodical
Accession number :
ejs28373552
Full Text :
https://doi.org/10.1155/S1048953390000235