Random algebraic polynomials with non-identically distributed normal coefficients

AUTHOR AND
AFFILIATION

1S. BAGH and 2M.K. PAL
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

KEYWORDS:

Random algebraic polynomial, Expected number of zeroes 2010 AMS Subject classification: Primary 34F60 , Secondary 30B20

Issue Date:

August 2012

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.24 – No.2

PDF

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DOI:

jusps-A

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.

Copy the following to cite this Article:

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 , 2016


Copy 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 , 2016

Available from: http://www.ultrascientist.org/paper/417/


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.