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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.3
- 수록면
- 95 - 102 (8page)
- DOI
- 10.33162/JAR.2019.03.19.1.95
이용수
초록· 키워드
오류제보하기
Purpose: In this paper we study the almost sure convergence for superadditive negatively dependent (NSD) random variables (r.v.’s) and obtain new results of Jamison et al. [1], Marcinkiewicz-Zygumnd type strong law, and Kolmogorov type three series theorem and some conditions in the form of NSD.
Methods: We have studied a negatively associated random variables, super additive negatively random variables, complete convergence, almost sure convergence, and Kolmogorov type three-series theorem to get the above purpose.
Results: After studying the above contents, we got the results that we wanted through the seminar. Thus, we obtained the following conclusion and this research is very important in reliability theory and probability theory and multivariate statistical analysis.
Conclusion: This paper is to study the complete convergence for weighted sums of NSD random variables and we study some preliminary results for NSD random variables and we obtained complete convergence for maximum partial sums of rowwise NSD random variables. Finally The contents of NSD has wide applications in reliability.
Methods: We have studied a negatively associated random variables, super additive negatively random variables, complete convergence, almost sure convergence, and Kolmogorov type three-series theorem to get the above purpose.
Results: After studying the above contents, we got the results that we wanted through the seminar. Thus, we obtained the following conclusion and this research is very important in reliability theory and probability theory and multivariate statistical analysis.
Conclusion: This paper is to study the complete convergence for weighted sums of NSD random variables and we study some preliminary results for NSD random variables and we obtained complete convergence for maximum partial sums of rowwise NSD random variables. Finally The contents of NSD has wide applications in reliability.
목차
1. Introduction
2. Preliminaries
3. Main Results
References
참고문헌 (15)
참고문헌 신청
Jamison, B. / 1965 / Convergence of weighted averages of independent random variables / Zufälligkeit und Wahrscheinlichkeit 4(1):40~44
Khursheed, A. K. / 1981 / Positive dependence in multivariate distributions / Communications in Statistics-Theory and Methods 10(12):1183~1196
Joag-Dev, K. / 1983 / Negative association of r.v.’s with applications / Annals of Statistics 11:286~295
Hu, T. Z. / 2000 / Negatively superadditive dependence of r.v.’s with applications / Chinese Journal of Applied Probability and Statistics 16:133~144
Block, H. W. / 1989 / L-superadditive structure functions / Advances in Applied Probability 21(4):919~929
Khursheed, A. K. / 1981 / Positive dependence in multivariate distributions / Communications in Statistics-Theory and Methods 10(12):1183~1196
Joag-Dev, K. / 1983 / Negative association of r.v.’s with applications / Annals of Statistics 11:286~295
Hu, T. Z. / 2000 / Negatively superadditive dependence of r.v.’s with applications / Chinese Journal of Applied Probability and Statistics 16:133~144
Block, H. W. / 1989 / L-superadditive structure functions / Advances in Applied Probability 21(4):919~929
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UCI(KEPA) : I410-ECN-0101-2019-323-000567887