On the Bahadur Representation of Quantiles for a Sample from ρ*-Mixing Structure Population

• Autorzy: Dudek Dagmara , Kuczmaszewska Anna

Identyfikatory

DOI

10.12913/22998624/150480

• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish the strong consistency and the Bahadur representation of sample quantiles for ρ*-mixing random variables. Additionally, the asymptotic normality and the Berry-Esseen bound of sample quantiles for ρ*-mixing random variables are presented. Additionally, we provide the rate of convergence of sample quantiles to population counterparts. Moreover, numerical simulation is presented to ilustrate and verify obtained results.

Słowa kluczowe

EN

quantiles; Bahadur representation; asymptotic normality; Berry-Esseen type bound; Berry-Esseen; ρ*-mixing random variables

• Wydawca: Lublin University of Technology ; Polish Society of Ecological Engineering (PTIE), Branch of PTIE in Lublin
• Czasopismo: Advances in Science and Technology. Research Journal
• Rocznik: 2022
• Tom: Vol. 16, no 3
• Strony: 316--330
• Opis fizyczny: Bibliogr. 21 poz., fig., tab.

Twórcy

autor

Dudek Dagmara

• Department of Applied Mathematics, Lublin University of Technology, ul. Nadbystrzycka 38D, Lublin, 20-618, Poland

autor

Kuczmaszewska Anna

• Department of Applied Mathematics, Lublin University of Technology, ul. Nadbystrzycka 38D, Lublin, 20-618, Poland

• https://orcid.org/0000-0003-2049-1890

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).