IJPAM: Volume 120, No. 3 (2018)

Title

ON THE APPROXIMATION OF THE STEP FUNCTION BY
A NEW MODIFIED LAPLACE CUMULATIVE
DISTRIBUTION FUNCTION

Authors

Todorka Terzieva$^1$, Hristo Kiskinov$^2$,
Olga Rahneva$^3$, Vesselin Kyurkchiev$^4$
$^{1,2,4}$Faculty of Mathematics and Informatics
University of Plovdiv Paisii Hilendarski
24, Tzar Asen Str., 4000 Plovdiv, BULGARIA
$^{3}$Faculty of Economy and Social Sciences
University of Plovdiv Paisii Hilendarski
24, Tzar Asen Str., 4000 Plovdiv, BULGARIA

Abstract

In this paper the Hausdorff approximation of the Heaviside step function by a new Modified Laplace Cumulative Distribution Function is considered and precise upper and lower bounds for the one-sided Hausdorff distance are obtained. Numerical examples illustrating the obtained results are given too.

History

Received: March 2, 2018
Revised: November 29, 2018
Published: December 28, 2018

AMS Classification, Key Words

AMS Subject Classification: 68N30, 41A46
Key Words and Phrases: Heaviside step function, Modified Laplace Cumulative Distribution Function (MLCDF), Hausdorff distance, upper and lower bounds

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v120i3.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 120
Issue: 3
Pages: 401 - 414


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