On a characterization of a power distribution

• Autorzy: Pawlas P. , Szynal D.
• Języki publikacji: EN

Abstrakty

EN

A measure of dependence called pseudo-covariance and related to covariance was proposed by Pawlas and Szynal [4]. It was used, among other things, in a characterization of a power distribution. Here we generalized that result.

Słowa kluczowe

EN

characterization; covariance; Q-covariance; pseudo-covariance; power distribution; order statistics; quantile

PL

charakterystyka dystrybucji energii; kowariancja; dystrybucja energii; statystyki pozycyjne; kwantyl

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 1
• Strony: 100--106
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Pawlas P.

• Institute of Mathematics, Maria Curie–Skłodowska University, Pl. M. Curie–Skłodowskiej 1, Pl – 20–031 Lublin, Poland

autor

Szynal D.

• Institute of Mathematics, Maria Curie–Skłodowska University, Pl. M. Curie–Skłodowskiej 1, Pl – 20–031 Lublin, Poland

Bibliografia

• [1] Barry C. Arnold, N. Balakrishnan, H. N. Nagaraja, A First Course in Order Statistics, John Wiley and Sons, New York, 1992.
• [2] D. Drouet-Mari, S. Kotz, Correlation and Dependence, London: Imperial College Press, 2001.
• [3] A. Krajka D. Szynal, On Q-covariance and its applications, Proceedings of International Conference on Linear Statistical Inference LINSTAT’93, Kluwer Academic Publishers, Dordrecht (1994), 293–300.
• [4] P. Pawlas, D. Szynal, On a new measure of dependence and its applications, Demonstratio Math. 45 (2012), 243–256.
• [5] T. Rychlik, Procecting Statistical Functionals, Lecture Notes in Statistics, Springer, 2001.