Sharp bounds on the expectations of linear combinations of kth records expressed in the Gini mean difference units

• Autorzy: Kozyra P. M. , Rychlik T.

Identyfikatory

DOI

10.19195/0208-4147.38.1.3

• Języki publikacji: EN

Abstrakty

EN

We describe a method of calculating sharp lower and upper bounds on the expectations of linear combinations of kth records Expressem in the Gini mean difference units of the original i.i.d. observations. In particular, we provide sharp lower and upper bounds on the expectations of kth records and their differences. We also present the families of distributions which attain the bounds in the limit.

Słowa kluczowe

EN

expectation; Gini mean difference; sharp bound; kth record

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2018
• Tom: Vol. 38, Fasc. 1
• Strony: 39--59
• Opis fizyczny: Bibliogr. 24 poz., tab.

Twórcy

autor

Kozyra P. M.

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00656 Warsaw, Poland

autor

Rychlik T.

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00656 Warsaw, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).