On Different Classes of Algebraic Polynomials with Random Coefficients

The expected number of real zeros of the polynomial of the form a0+a1x+a2x2+⋯+anxn, where a0,a1,a2,…,an is a sequence of standard Gaussian random variables, is known. For n large it is shown that this expected number in (−∞,∞) is asymptotic to (2/π)log n. In this paper, we show that this asymptotic...

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Vydané v:	International journal of stochastic analysis Ročník 2008; číslo 1
Hlavní autori:	Farahmand, K., Grigorash, A., McGuinness, B.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Hindawi Publishing Corporation 2008 Hindawi Limited
Predmet:	Probability Random variables Studies
ISSN:	1048-9533, 2090-3332, 1687-2177, 2090-3340
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