논문KCI 등재
Strong laws for weighted sums of i.i.d. random variables
대한수학회 (The Korean Mathematical Society)|2006.10|대한수학회논문집 (Communications of the KMS)|제21권 제4호|pp. 771-778
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
Strong laws are established for linear statistics thatare weighted sums of a random sample. We show extensions of theMarcinkiewicz-Zygmund strong laws under certain moment condi-tions on both the weights and the distribution. The result obtainedextends and sharpens the result of Sung ([12]).
참고문헌 (11)
- "Marcinkiewicz strong laws", pp.105~112 (2000)
- "Almost sure convergence theorems of weighted sums of random variables", pp.365~377 (1987)
- "it Probability Theory: Independence Interchangeability, Martingales" (1997)
- "A strong law for weighted sums of i.i.d. random variables", pp.625~641 (1995)
- "On a theorem ofHsu-Robbins", pp.286~ (1949)
- "\it Negativeassociated of random variables with application}", pp.286~ (1983)
- "Limittheorems of probability theory sequences of independent randomvariables" (1995)
- "A comparison theorem on moment inequalitiesbetween Negatively associated and independent random variables", pp.343~356 (2000)
- "Strong laws for weighted sums ofi.i.d. random variables", pp.413~419 (2001)
- "Strong laws forweighted sums of i.i.d. random variables", 4, pp.607~615 (2002)
- "Onthe strong convergence of a weighted sums Statist", pp.19~22 (1999)
관련 논문AI추천
Strong laws for weighted sums of i.i.d. random variables (II)성수학대한수학회 · 대한수학회보2002 · 제39권 제4호Weak Laws for Weighted Sums of Random Variables성수학대한수학회 · 대한수학회보2004 · 제41권 제2호Strong laws of large numbers for weighted sums of negatively dependent random variables고미화, 김태성, 한광희대한수학회 · 대한수학회지2006 · 제43권 제6호Convergence of weighted sums for dependent random variablesDong-Xia Zhang, Han-Ying Liang, Jong-Il Baek대한수학회 · 대한수학회지2004 · 제41권 제5호On the almost sure convergence of weighted sums of negatively associated random variables박성태, 백종일, 서혜영, 정성모대한수학회 · 대한수학회논문집2005 · 제20권 제3호On the weak law for weighted sums indexed by random variables under negatively associated arraysDong-Myong Lee, Jong-Il Baek대한수학회 · 대한수학회논문집2003 · 제18권 제1호
