Average number of Real Roots of Random Trigonometric Polynomial follows non-symmetric Semi-Cauchy Distribution

N.K. Sahoo; Dr. N. N. Nayak

doi:10.24297/jam.v2i2.6547

Average number of Real Roots of Random Trigonometric Polynomial follows non-symmetric Semi-Cauchy Distribution

Authors

N.K. Sahoo Faculty of Science and Technology The ICFAI University Tripura Kamalghat,Sadar, pin-799210, India
Dr. N. N. Nayak Orissa University of Agriculture & Technology

DOI:

https://doi.org/10.24297/jam.v2i2.6547

Keywords:

Random variables, Joint distribution, Characteristic function, Semi-Cauchy distribution

Abstract

Let a₁ (w), a_² (w), a3 (w).. .. ...a_{n (w)}be a sequence of mutually independent, identically distributed random variables following semi-cauchy distribution with characteristic function exp (-(C + cosloglt|) |t|), C>1) .

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Author Biography

Dr. N. N. Nayak, Orissa University of Agriculture & Technology

Ex-Prof of Mathematics Orissa University of Agriculture & Technology, Bhubaneswar-3, Plot No.1242/2171, Siripur Nuasshi, India

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Published

2013-09-30

How to Cite

Sahoo, N., & Nayak, D. N. N. (2013). Average number of Real Roots of Random Trigonometric Polynomial follows non-symmetric Semi-Cauchy Distribution. JOURNAL OF ADVANCES IN MATHEMATICS, 2(2), 100–109. https://doi.org/10.24297/jam.v2i2.6547