논문KCI 등재
Estimation of the distribution function for stationary random fields of associated processes
대한수학회 (The Korean Mathematical Society)|2004.01|대한수학회논문집 (Communications of the KMS)|제19권 제1호|pp. 169-177
0
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
For a stationary field {X_{underline{j}} , underline{j} inmathbb{Z}_+^d } of associated random variables withdistribution function {F}(x) =P(X_{underline{1}} le x) westudy strong consistency and asymptotic normality of the empiricaldistribution function, which is proposed as an estimator for {F}(x). We also consider strong consistency and asymptotic normalityof the empirical survival function by applying these results.
참고문헌 (7)
- "Estimation of the survivalfunction for stationary associated processes", pp.385~ (1991)
- "Moment bounds for associated sequences", pp.1184~ (1988)
- "On the convergence rate in the central limit theoremfor associated processes", pp.1685~ (1988)
- "Inequalities for moments of sums ofassiciated multi-indexed variables", pp.342~ (1993)
- "Central limit theorems forassociated random variables and the percolation model", pp.~12514528 (1984)
- "Association of randomvariables with applications", pp.1466~ (1967)
- "Inequalities in Statistics and Probability", pp.127~140 (1984)
관련 논문AI추천
On a functional central limit theorem for stationary linear processes generated by associated processes고미화, Tae-Sung Kim대한수학회 · 대한수학회보2003 · 제40권 제4호A central limit theorem for the stationary multivariate linear process generated by associated random vectorsSung-Mo Chung, Tae-Sung Kim대한수학회 · 대한수학회논문집2002 · 제17권 제1호The uniform consistency of the sample kernel quantile process김성연, 배종식대한수학회 · 대한수학회보2004 · 제41권 제3호Weak convergence for stationary bootstrap empirical processes of associated sequences황은주대한수학회 · 대한수학회지2021 · 제58권 제1호Strong laws of large numbers forasymptotically quadrant independent random fields고미화, 김태성, Hyun-Chull Kim대한수학회 · 대한수학회논문집2004 · 제19권 제4호Uniform asymptotics in the empirical mean residual life process김성은, 배종식대한수학회 · 대한수학회지2006 · 제43권 제2호
이 간행물의 다른 논문 (17건)
On the semiatomicity for completely right injective semigroupEunho L. Moonpp. 1-10Folding theory of implicative/fantastic filters in lattice implication algebrasSeok Zun Song, Young Bae Junpp. 11-21Norms and units on the basic ${\mathbb Z}_{3}$-extension of certain cubic fieldsJangheon Ohpp. 23-27A study on equivalent forms of the axiom of choice in an well-pointed toposIg Sung Kimpp. 29-34Fuzzy closure systems and fuzzy closure operatorsJung Mi Ko, Yong Chan Kimpp. 35-51