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      WEAK LAW OF LARGE NUMBERS FOR WEIGHTED SUMS IN NONCOMMUTATIVE LORENTZ SPACE

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      https://www.riss.kr/link?id=A104885570

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      다국어 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].

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      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

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      2027 평가예정 재인증평가 신청대상 (재인증)
      2021-01-01 평가 등재학술지 유지 (재인증) KCI등재
      2018-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2015-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2011-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2008-01-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      2007-01-01 평가 등재후보 1차 PASS (등재후보1차) KCI등재후보
      2005-01-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      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
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