Expected number of real zeros of random hyperbolic polynomial

Mina Ketan Mahanti

Statistics & Probability Letters, 2004, vol. 70, issue 1, 11-18

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... .

Keywords: Random; polynomial; Expected; number; of; zeros (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(04)00172-5
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:70:y:2004:i:1:p:11-18

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().