Random algebraic polynomials with non-identically distributed normal coefficients
Author:
1S. BAGH and 2M.K. PAL
Affiliation:
1Department of Statistics, Sambalpur University, Orissa (INDIA)
2Institute of Management & Information Science, Bhubaneswar, Orissa (INDIA)
E-mail: sbagh55@hotmail.com, E-mail: manas.sbp@gmail.com
Keyword:
Random algebraic polynomial, Expected number of zeroes
2010 AMS Subject classification: Primary 34F60 , Secondary
30B20
Issue Date:
August 2012
Abstract:
The asymptotic estimate for the expected number of real zeros of a random
algebraic polynomial Qn ( x , ) =
j
n
j
j x
j
n
a
1 / 2
0
) (
Where the coefficients () j a are independently normally distributed
random variables defined on a probability space ( , F, P ) ,
is known. In this paper we provide the asymptotic value for the expected
number of zeros of the integration of Qn (x, ) with respect to x.
Pages:
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
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1S. BAGH and 2M.K. PAL, "Random algebraic polynomials with non-identically distributed normal coefficients", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 2, Page Number , 2016Copy the following to cite this URL:
1S. BAGH and 2M.K. PAL, "Random algebraic polynomials with non-identically distributed normal coefficients", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 2, Page Number , 2016Available from: https://www.ultrascientist.org/paper/417/
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