Expected number of real zeros of random hyperbolic polynomial
AbstractIf g1,g2,...,gn are independent, normally distributed random variables with mean zero and variance one, then the expected number of zeros of a polynomial of the form g1 cosh t+g2 cosh 2t+g3 cosh 3t+...+gn cosh nt, for large values of n, is where C=0.038... .
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Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 70 (2004)
Issue (Month): 1 (October)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
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