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Almost Sure Convergence for Asymptotically Almost Negatively Associated Random Variable Sequences

Baek, Jong-Il    (School of Mathematics & Informational Statistics, Wonkwang University  );
  • 초록

    We in this paper study the almost sure convergence for asymptotically almost negatively associated(AANA) random variable sequences and obtain some new results which extend and improve the result of Jamison et al. (1965) and Marcinkiewicz-Zygumnd strong law types in the form given by Baum and Katz (1965), three-series theorem.


  • 주제어

    Asymptotically almost negatively associated random variable sequences .   almost convergence .   three-series theorem.  

  • 참고문헌 (6)

    1. Baum, E. and Katz, M. (1965). Convergence rates in the law of large numbers, Transactions of the American Mathematical Society, 120, 108?123 
    2. Chandra, T. K. and Ghosal, S. (1996a). Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables, Acta Mathematica Hungarica, 71, 327?336 
    3. Chandra, T. K. and Ghosal, S. (1996b). The strong law of large numbers for weighted averages under dependence assumption, Journal of Theoretical Probability, 9, 797?809 
    4. Jamison, B., Orey, S. and Pruitt,W. (1965). Convergence of weighted averages of independent random variables, Probability Theory and Related Fields, 4, 40?44 
    5. Joag-Dev, K. and Proschan, F. (1983). Negative association of random variables with applications, The Annals of Statistics, 11, 286?295 
    6. Stout W. F. (1974). Almost Sure Convergence, Academic Press, New York 

 저자의 다른 논문

  • Baek, Jong-Il (40)

    1. 1997 "A weakly negative structure of stochastic ordering" Bulletin of the Korean Mathematical Society = 대한수학회보 34 (2): 211~223    
    2. 1997 "A WEAKLY DEPENDENCE CONCEPT IN MOVING AVERAGE MODELS" Communications of the Korean Mathematical Society = 대한수학회논문집 12 (3): 743~754    
    3. 1999 "THE STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF PAIRWISE QUADRANT DEPENDENT RANDOM VARIABLES" Journal of the Korean Mathematical Society = 대한수학회지 36 (1): 37~49    
    4. 1999 "On the Moving Average Models with Multivariate geometric Distributions" 한국통계학회 논문집 = Communications of the Korean Statistical Society 6 (3): 677~686    
    5. 2000 "A CENTRAL LIMIT THEOREM FOR THE STATIONARY LINEAR PROCESS GENERATED BY AN ASSOCIATED PROCESS" Journal of the Korean Mathematical Society = 대한수학회지 37 (3): 463~471    
    6. 2000 "ON THE WEAKLY POSITIVE ORTHANT DEPENDENCE ORDERING" The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A 7 (3): 1059~1068    
    7. 2001 "ON THE WEAK DEPENDENCE STRUCTURE OF MULTIVARIATE PROCESSES AND CORRESPONDING HITTING TIMES" Honam mathematical journal = 호남수학학술지 23 (1): 159~178    
    8. 2001 "A PARTIAL ORDERING OF CONDITIONALLY POSITIVE QUADRANT DEPENDENCE" Communications of the Korean Mathematical Society = 대한수학회논문집 16 (2): 297~308    
    9. 2001 "The Ordering of Conditionally Multivariate Random Vectors" 한국통계학회 논문집 = Communications of the Korean Statistical Society 8 (1): 237~247    
    10. 2001 "DEPENCENCE CONCEPT OF BIVARIATE POISSON SHOCK MODEL" The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A 8 (3): 989~999    

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