논문KCI 등재
Some inequalities for reverse demimartingales
대한수학회 (The Korean Mathematical Society)|2025.09|대한수학회보 (Bulletin of the KMS)|제62권 제5호|pp. 1311-1322|DOI 10.4134/BKMS.b240299
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we get some new maximal and minimal inequalities for non-negative reverse demimartingales. Furthermore, we give a H\`{a}jek--R\`{e}nyi-type inequality for reverse demimartingales. Finally, we discuss the strong law of large numbers, strong growth rate and integrability of supremum for reverse demimartingales.
Abstract
In this paper, we get some new maximal and minimal inequalities for non-negative reverse demimartingales. Furthermore, we give a H\`{a}jek--R\`{e}nyi-type inequality for reverse demimartingales. Finally, we discuss the strong law of large numbers, strong growth rate and integrability of supremum for reverse demimartingales.
관련 논문AI추천
Convergence rates for sequences of conditionally independent and conditionally identically distributed random variablesDe-Mei Yuan대한수학회 · 대한수학회지2016 · 제53권 제6호Maximal inequalities and strong law of large numbers for AANA sequencesHu Shuhe, Li Xiaoqin, Wang Xuejun, Yang Wenzhi대한수학회 · 대한수학회논문집2011 · 제26권 제1호On the strong law of large numbers for weighted sums of negatively superadditive dependent random variablesAiting Shen대한수학회 · 대한수학회지2016 · 제53권 제1호A strong limit theorem for sequences of blockwise and pairwise m-dependent random variablesNgoc Anh Vu, Van Thanh Le대한수학회 · 대한수학회보2011 · 제48권 제2호Weak laws of large numbers for arrays under a condition of uniform integrability성수학, Andrei Volodin, Supranee Lisawadi대한수학회 · 대한수학회지2008 · 제45권 제1호Some results for $U$-statistics and strong demimartingalesDecheng Feng, Xiaomei Zhang대한수학회 · 대한수학회보2024 · 제61권 제5호
이 간행물의 다른 논문 (19건)
Quantitative weighted bounds for maximal singular integralsChenbo Liu, Yanping Chenpp. 1241-1257An analogue of the Erd{\H o}s matching conjecture for weak compositionsCheng Yeaw Ku, Kok Bin Wongpp. 1259-1278Complex analytic solutions of certain nonlinear partial differential equations in $\mathbb{C}^n$Yu Zhang, Liu Yangpp. 1279-1291A class of shifted curvature flows for horo-convex hypersurfaces in $\mathbb{H}^{n+1}$Zhengchao Jipp. 1293-1309Parabolic frequency for the weighted heat equation under the Perelman's Ricci flowJianhong Wangpp. 1323-1334