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Expected number of real zeros of random hyperbolic polynomial

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  • Mahanti, Mina Ketan

Abstract

If 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... .

Suggested Citation

  • Mahanti, Mina Ketan, 2004. "Expected number of real zeros of random hyperbolic polynomial," Statistics & Probability Letters, Elsevier, vol. 70(1), pages 11-18, October.
  • Handle: RePEc:eee:stapro:v:70:y:2004:i:1:p:11-18
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    Cited by:

    1. Mina Ketan Mahanti & Amandeep Singh & Lokanath Sahoo, 2015. "Real Zeros of a Class of Hyperbolic Polynomials with Random Coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-7, August.

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