Functional equations stemming from probability theory

Károly Lajká; Fruzsina Mészáros

doi:10.2478/v10127-009-0048-z

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Functional equations stemming from probability theory

Tatra Mountains Mathematical Publications

Volume 44 (2009): Issue 1 (December 2009)

By: Károly Lajká and Fruzsina Mészáros

Open Access

|Nov 2012

Abstract

Special cases of the functional equation are investigated for almost all (x, y) ∈ℝ ²₊, for the given functions c, d and the unknown functions h₁, h₂, f_X and f_Y.

References

[1] ARNOLD, B. C.-CASTILLO, E.-SARABIA, J. M.: Conditional Specification of StatisticalModels. Springer-Verlag, New York, 1999.
Search in Google Scholar
[2] DIEUDONN´E, J.: Grundz¨uge der Modernen Analysis. Friedr. Vieweg und Sohn, Braunschweig,
Search in Google Scholar
1971.
Search in Google Scholar
[3] J´ARAI, A.: Measurable solutions of functional equations satisfied almost everywhere, Math. Pannon. 10 (1999), 103-110.
Search in Google Scholar
[4] J´ARAI, A.: Regularity Properties of Functional Equations in Several Variables, in: Adv. Math. (Dordr.), Vol. 8, Kluwer Acad. Publ., Dordrecht, 2005.
Search in Google Scholar
[5] LAJK´ O, K.: Functional equations in the theory of conditionally specified distributions, Publ. Math. Debrecen 58 (2001), 241-248.
Search in Google Scholar
[6] MARDIA, K. V.: Multivariate Pareto distributions, Ann. Math. Stat. 33 (1962), 1008-1015.10.1214/aoms/1177704468
Search in Google Scholar
[7] NARUMI, S.: On the general form of bivariate frequency distributions which are mathematicallypossible when regression and variation are subjected to limiting conditions I, II, Biometrika 15 (1923), 77-88, 209-221.
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/v10127-009-0048-z | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 65 - 80

Published on: Nov 12, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

characterizations of probability distributions,

measurable solution a.e.

Related subjects:

Mathematics,

General mathematics

© 2012 Károly Lajká, Fruzsina Mészáros, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 44 (2009): Issue 1 (December 2009)