- Tytuł:
- On the Bahadur Representation of Quantiles for a Sample from ρ*-Mixing Structure Population
- Autorzy:
-
Dudek, Dagmara
Kuczmaszewska, Anna - Powiązania:
- https://bibliotekanauki.pl/articles/2201721.pdf
- Data publikacji:
- 2022
- Wydawca:
- Stowarzyszenie Inżynierów i Techników Mechaników Polskich
- Tematy:
-
quantiles
Bahadur representation
asymptotic normality
Berry-Esseen type bound
Berry-Esseen
ρ*-mixing random variables - Opis:
- 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.
- Źródło:
-
Advances in Science and Technology. Research Journal; 2022, 16, 3; 316--330
2299-8624 - Pojawia się w:
- Advances in Science and Technology. Research Journal
- Dostawca treści:
- Biblioteka Nauki
Artykuł