Average number of Real Roots of Random Trigonometric Polynomial follows non-symmetric Semi-Cauchy Distribution
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 2, Issue 2
Abstract
Let a1 (w), a2 (w), a3 (w).. .. ...an (w) be a sequence of mutually independent, identically distributed random variables following semi-cauchy distribution with characteristic function exp (-(C + cosloglt|) |t|), C>1) .
Authors and Affiliations
N. K. Sahoo, Dr. N. N. Nayak
Keywords
Related Articles
- EP ID EP651188
- DOI 10.24297/jam.v2i2.6547
- Views 180
- Downloads 0
Spectacular Exponents: A semi modular Approach to Fast Exponentiation
This paper introduces a computational scheme for calculating the exponential bw where b and w are positive integers. This two-step method is based on elementary number theory that is used routinely in this and simil...
FEYNMAN INTEGRALS PERTAINING TO ALEPH FUNCTION AND TWO GENERAL CLASS OF POLYNOMIALS
The object of the present paper is to derive certain integral properties of Aleph function and two general class of polynomials. During the course of finding, we obtain some particular cases, which are also new and of in...
COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS IN HILBERT SPACE
In this paper we prove a common fixed point theorem for weakly compatible mappings satisfies certain contractive condition in non- empty closed subset of a separable Hilbert Space. Our results generalize and...
The Reproducing Kernel Hilbert Space Method for Solving System of Linear Weakly Singular Volterra Integral Equations
The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find. The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find th...
On Group Von Neumann Algebras with Vector-Valued Functions
Let G be a locally compact group equipped with a normalized Haar measure , A(G) the Fourier algebraof G and V N(G) the von Neumann algebra generated by the left regular representation of G. In this paper, we introduce th...