In this paper, we prove the weak law of large numbers for weighted sums of noncommutative random variables in noncommutative Lorentz space under weaker conditions than the conditions in [7].
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https://www.riss.kr/link?id=A104885570
2013
English
KCI등재
학술저널
491-499(9쪽)
0
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In this paper, we prove the weak law of large numbers for weighted sums of noncommutative random variables in noncommutative Lorentz space under weaker conditions than the conditions in [7].
In this paper, we prove the weak law of large numbers for weighted sums of noncommutative random variables in noncommutative Lorentz space under weaker conditions than the conditions in [7].
참고문헌 (Reference)
1 R. Jajte, "\Strong Limit Theorems in Non-commutative Probability," Lecture Notes in Math" Springer 1985
2 Gh. Stoica, "Weak laws of large numbers in some non-commutative spaces" 32 : 471-476, 2000
3 B. J. Choi, "Weak law of large numbers for weighted sums in noncommutative probability space" 2011
4 C. J. K. Batty, "The strong law of large numbers for states and traces of a W¤-algebra" 48 : 177-191, 1979
5 H. Bercovici, "The law of large numbers for free identically distributed random variables" 24 : 453-465, 1996
6 W. E. Pruitt, "Summability of independent random variables" 15 : 769-776, 1966
7 B. Y. Jing, "Strong limit theorems for weighted sums of negatively associated random variables" 21 : 890-909, 2008
8 H. Bercovici, "Stable laws and domains of attraction in free probability theory (with an appendix by Ph. Biane)" 149 : 1023-1060, 1999
9 J. M. Lindsay, "Some weak laws of large numbers in noncommutative probability" 226 : 533-543, 1997
10 X. C. Wang, "Some results on the convergence of weighted sums of random elements in separable Banach spaces" 86 : 131-153, 1987
1 R. Jajte, "\Strong Limit Theorems in Non-commutative Probability," Lecture Notes in Math" Springer 1985
2 Gh. Stoica, "Weak laws of large numbers in some non-commutative spaces" 32 : 471-476, 2000
3 B. J. Choi, "Weak law of large numbers for weighted sums in noncommutative probability space" 2011
4 C. J. K. Batty, "The strong law of large numbers for states and traces of a W¤-algebra" 48 : 177-191, 1979
5 H. Bercovici, "The law of large numbers for free identically distributed random variables" 24 : 453-465, 1996
6 W. E. Pruitt, "Summability of independent random variables" 15 : 769-776, 1966
7 B. Y. Jing, "Strong limit theorems for weighted sums of negatively associated random variables" 21 : 890-909, 2008
8 H. Bercovici, "Stable laws and domains of attraction in free probability theory (with an appendix by Ph. Biane)" 149 : 1023-1060, 1999
9 J. M. Lindsay, "Some weak laws of large numbers in noncommutative probability" 226 : 533-543, 1997
10 X. C. Wang, "Some results on the convergence of weighted sums of random elements in separable Banach spaces" 86 : 131-153, 1987
11 E. Nelson, "Notes on non-commutative integration" 15 : 103-116, 1974
12 H. Kosaki, "Noncommutative Lorentz spaces associated with a semi¯nite von Neumann algebra and applications" 57 : 303-306, 1981
13 F. J. Yeadon, "Non-commutative Lp-sapces" 77 : 91-102, 1975
14 A. Bozorgnia, "Limit theorems for weighted sums of random elements in separable Banach spaces" 9 : 428-433, 1979
15 M. Ord¶o~nez Cabrera, "Limit theorems for randomly weighted sums of random elements in normed linear spaces" 25 : 139-145, 1988
16 A. ÃLuczak, "Laws of large numbers in von Neumann algebras and related results" 81 : 231-243, 1985
17 T. Fack, "Generalized s-numbers of ¿-measurable operators" 123 : 269-300, 1986
18 V. K. Rohatgi, "Convergence of weighted sums of independent random variables" 69 : 305-307, 1971
19 B. D. Choi, "Almost sure convergence theorems of weighted sums of random variables" 5 : 365-377, 1987
20 J. Cuzick, "A strong law for weighted sums of i.i.d. random variables" 8 : 625-641, 1995
21 R. Thrum, "A remark on almost sure convergence of weighted sums" 75 : 425-430, 1987
22 R. Balan, "A note on the weak law of large numbers for free random variables" 31 : 23-30, 2007
23 I. E. Segal, "A non-commutative extension of abstract integration" 57 : 401-457, 1953
24 V. Pata, "A generalized weak law of large numbers for noncommuting random variables" 45 : 591-601, 1996
ON A GENERAL CLASS OF OPTIMAL FOURTH-ORDER MULTIPLE-ROOT FINDERS
WEAK SOLUTIONS OF GRADIENT FLOW OF LANDAU-DE GENNES ENERGY
EXISTENCE OF GLOBAL ATTRACTOR FOR CAUCHY PROBLEMS
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2027 | 평가예정 | 재인증평가 신청대상 (재인증) | |
2021-01-01 | 평가 | 등재학술지 유지 (재인증) | ![]() |
2018-01-01 | 평가 | 등재학술지 유지 (등재유지) | ![]() |
2015-01-01 | 평가 | 등재학술지 유지 (등재유지) | ![]() |
2011-01-01 | 평가 | 등재학술지 유지 (등재유지) | ![]() |
2008-01-01 | 평가 | 등재학술지 선정 (등재후보2차) | ![]() |
2007-01-01 | 평가 | 등재후보 1차 PASS (등재후보1차) | ![]() |
2005-01-01 | 평가 | 등재후보학술지 선정 (신규평가) | ![]() |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.14 | 0.14 | 0.13 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.11 | 0.1 | 0.356 | 0.05 |