On Bivariate Distributions with N Deleted Areas: Mathematical Definition

Authors

DOI:

https://doi.org/10.26713/cma.v15i3.2834

Keywords:

Bivariate distribution, Statistical properties, N deleted areas, Moments

Abstract

A new definition of deleting N-intervals from the domain of two random variables which have known bivariate distribution (N-truncated bivariate distribution) has been provided. This type of distribution is useful in real life applications, where it gives us the opportunity to delete N-intervals of data. This will increase the accuracy of statistical analysis, which facilitates decision-making. As a result of this multiple truncation, changes occur in the statistical properties of the bivariate distribution from its original version. We have thoroughly processed these properties and applied this definition to the bivariate normal distribution.

Downloads

References

F. S. Alamri and M. A. A. El-Hadidy, Optimal linear tracking for a hidden target on one of Kintervals, Journal of Engineering Mathematics 144 (2024), Article number 8, DOI: 10.1007/s10665-023-10315-1.

M. M. Ali and S. Nadarajah, A truncated Pareto distribution, Computer Communications 30(1) (2006), 1 – 4, DOI: 10.1016/j.comcom.2006.07.003.

M. A. A. El-Hadidy, Generalized truncated distributions with N intervals deleted: Mathematical definition, Filomat 33(11) (2019), 3409 – 3424, DOI: 10.2298/fil1911409e.

M. A. A. El-Hadidy and A. A. Alfreedi, Internal truncated distributions: applications to Wiener process range distribution when deleting a minimum stochastic volatility interval from its domain, Journal of Taibah University for Science 13(1) (2019), 201 – 215, DOI: 10.1080/16583655.2018.1555020.

J. F. Kenney and E. S. Keeping, Mathematics of Statistics, 3rd edition, Chapman & Hall Ltd., London (1962).

S. Nadarajah and S. Kotz, Some truncated bivariate distributions, Acta Applicandae Mathematicae 95 (2007), 205 – 222, DOI: 10.1007/s10440-007-9085-2.

L. Zaninetti, A right and left truncated gamma distribution with application to the stars, Advanced Studies in Theoretical Physics 7(23) (2013), 1139 – 1147, DOI: 10.12988/astp.2013.310125.

L. Zaninetti and M. Ferraro, On the truncated Pareto distribution with applications, Central European Journal of Physics 6(1) (2008), 1 – 6, DOI: 10.2478/s11534-008-0008-2.

Downloads

Published

30-11-2024
CITATION

How to Cite

El-Hadidy, M. A. A., & Alraddadi, R. (2024). On Bivariate Distributions with N Deleted Areas: Mathematical Definition. Communications in Mathematics and Applications, 15(3), 1181–1190. https://doi.org/10.26713/cma.v15i3.2834

Issue

Section

Research Article