Copulas of Two-Dimensional Threshold Models

Authors

  • Evgueni A. Haroutunian Institute for Informatics and Automation Problems of NAS RA
  • Irina A. Safaryan Institute for Informatics and Automation Problems of NAS RA

Abstract

A representation of two-dimensional random vector bivariate distribution by copula is proposed for the case when one of components is categorizing for the other. The regression function and the bounds for the Spearman rank correlation coefficient are
derived.

References

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B. Lausen and M. Shumacher, “Maximal selected rank statistics", Biometrics, vol. 48, pp. 72-85, 1992.

Hothorn T. and Lausen B., "On the exact distribution of maximally selected rank statistics", Comp. Statist. and Data Anal., vol. 43, pp. 121-137, 2003.

Safaryan I., Haroutunian E. and Manasyan A., “Two-dimensional sequence homogeneity testing against mixture alternative", Mathematical problems of computer science, vol. 23, pp. 67-79, 2004.

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Published

2021-12-10

How to Cite

Haroutunian, E. A. ., & Safaryan, I. A. . (2021). Copulas of Two-Dimensional Threshold Models. Mathematical Problems of Computer Science, 31, 40–48. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/390

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