On the existence of moments in Cauchy-like distributions induced from the tan function

Volume 4, Issue 1, February 2019     |     PP. 1-4      |     PDF (207 K)    |     Pub. Date: March 23, 2019
DOI:    358 Downloads     3935 Views  

Author(s)

Peter Kopanov, Department of Mathematics and Informatics, Plovdiv University "Paisii Hilendarski", 4000, Plovdiv, Bulgaria
Miroslav Marinov, St Catherine's College, Oxford University, OX1 3UJ, Oxford, United Kingdom
Atakan Salimov, Technical University of Soa, Faculty of Computer systems and Technologies

Abstract
In this paper we consider cases of the existence of the moments of functions of random variables supported on a bounded interval. Our attention is restricted to the tan function, as a generalization of the Cauchy distribution which is infact the result of applying this function to a uniformly distributed variable.

Keywords
Cauchy distributions, tan function, moments

Cite this paper
Peter Kopanov, Miroslav Marinov, Atakan Salimov, On the existence of moments in Cauchy-like distributions induced from the tan function , SCIREA Journal of Mathematics. Volume 4, Issue 1, February 2019 | PP. 1-4.

References

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