• International Journal of Human Ecology
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• 제14권1호
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• pp.103-113
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• 2013

Using data from the 2010 National Survey of Korean Families (NSKF), we investigated factors associated with marital conflict for baby boomers in South Korea. Korean baby boomers are those born during the post-Korean War period from 1955 to 1963. OLS regression examined the marital conflict of these couples. Baby boomer couples reported that they experienced occasional marital conflict; subsequently individual and family level variables explained 15% of baby boomers' marital conflict. The key findings were that satisfaction in spousal communication was negatively associated with conflict for baby boomer couples. However, the existence of unmarried adult children was positively associated with baby boomers' marital conflict. Work and family balance was also negatively associated with marital conflict. We found that the more satisfied with communication with the spouse, the fewer unmarried adult children, and the more work and family balance the couple maintained, the less marital conflict these baby boomers experienced.

• Honam Mathematical Journal
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• 제34권2호
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• pp.209-217
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• 2012

Convergence rates in the law of large numbers for i.i.d. random variables have been generalized by Gut[Gut, A., 1978. Marc inkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices, Ann. Probab. 6, 469-482] to random fields with all indices having the same power in the normalization. In this paper we generalize these convergence rates to the identically distributed and negatively associated random fields with different indices having different power in the normalization.

• Journal of applied mathematics & informatics
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• 제14권1_2호
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• pp.305-317
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• 2004

We construct the empirical Bayes (EB)estimation of the parameter in two-side truncated distribution families with asymmetric Linex loss using negatively associated (NA) samples. The asymptotical optimality and convergence rate of the EB estimation is obtained. We will show that the convergence rate can be arbitrarily close to $O(n^{-q}),\;q\;=\;{\lambda}s(\delta\;-\;2)/\delta(s\;+\;2)$.

• Communications of the Korean Mathematical Society
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• 제22권2호
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• pp.315-321
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• 2007

We show an exponential inequality for negatively associated and strictly stationary random variables replacing an uniform boundedness assumption by the existence of Laplace transforms. To obtain this result we use a truncation technique together with a block decomposition of the sums. We also identify a convergence rate for the strong law of large number.

• Journal of the Korean Statistical Society
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• 제33권1호
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• pp.99-106
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• 2004

Let {X, $X_{n}, n\;{\geq}\;1$} be a sequence of identically distributed, negatively associated (NA) random variables and assume that $│X│^{r}$, r > 0, has a finite moment generating function. A strong law of large numbers is established for weighted sums of these variables.

• Bulletin of the Korean Mathematical Society
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• 제43권1호
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• pp.169-178
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• 2006

For double arrays of constants ${a_{ni},\;1{\leq}i{\leq}k_n,\;n{\geq}1}$ and sequences ${X_n,\;n{\geq}1}$ of asymptotically almost negatively associated (AANA) random variables the almost sure convergence of $\sum\limits{_{i=1}}{^{k_n}}\;a_{ni}X_i$ is derived.

• Journal of the Korean Mathematical Society
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• 제58권2호
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• pp.327-349
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• 2021

In this paper, we main study the strong law of large numbers and complete convergence for weighted sums of asymptotically almost negatively associated (AANA, in short) random variables, by using the Marcinkiewicz-Zygmund type moment inequality and Roenthal type moment inequality for AANA random variables. As an application, the complete consistency for the weighted linear estimator of nonparametric regression models based on AANA errors is obtained. Finally, some numerical simulations are carried out to verify the validity of our theoretical result.

• Nutrition Research and Practice
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• 제10권2호
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• pp.182-187
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• 2016

BACKGROUND/OBJECTIVES: Supplementation with n-3 polyunsaturated fatty acids (PUFAs) has been shown to generally decrease levels of innate immune markers and inflammatory cytokines, but the specific associations between blood levels of PUFAs and those of innate immune markers have not been investigated. Thus, the present study was conducted to test the hypothesis that innate immune markers as well as cytokines are negatively associated with n-3 PUFAs but positively associated with n-6 PUFAs in healthy adults. MATERIALS/METHODS: One hundred sixty-five healthy Korean adults aged 25-70 years old were included in this cross-sectional study. RESULTS: Serum levels of n-3 PUFAs, such as 18:3n3, 20:5n3, 22:5n3, and 22:6n3 were negatively correlated with eosinophil and basophil counts and $TNF-{\alpha}$, $IFN-{\gamma}$, IL-4, and IL-10 levels. Multivariate analysis also showed that serum levels of n-3 PUFAs were negatively associated with monocyte, eosinophil, and basophil counts and $TNF-{\alpha}$, $IFN-{\gamma}$, IL-4, and IL-12 levels. Additionally, the ratio of 20:4n6 to 20:5n3 was positively correlated with eosinophil counts and associated with $TNF-{\alpha}$, $IFN-{\gamma}$, and IL-4 levels. However, NK cell activity was not associated with serum fatty acid composition. CONCLUSIONS: Innate immune markers such as eosinophil, monocyte, and basophil counts were inversely associated with serum levels of n-3 PUFAs, but were positively associated with the 20:4n6/20:5n3 ratio in this population.

• Journal of the Korea Society of Computer and Information
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• 제24권7호
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• pp.143-151
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• 2019

The purpose of the present study was to investigate the causal relationships between social support, spiritual well-being, and depression among family caregivers caring for the elderly in need of long-term care. Based on previous studies and theoretical backgrounds, a mediation research model including the aforementioned variables was proposed. A total of 383 family caregivers from 25 long-term care facilities in G Metropolitan City were included in the present study and hierarchical regression was used. The primary results were as follows. First, family caregivers' social support was negatively associated with depression. Second, family caregivers' social support was positively associated with spiritual well-being. Third, family caregivers' spiritual well-being was negatively associated with depression. Fourth, social support was positively associated with spiritual well-being, which was related to weaker depression among family caregivers. Finally, theoretical implications of these findings and recommendations for policy and practice were also discussed.

• Journal of the Korean Mathematical Society
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• 제53권1호
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• pp.45-55
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• 2016

Let {$X_n,n{\geq}1$} be a sequence of negatively superadditive dependent random variables. In the paper, we study the strong law of large numbers for general weighted sums ${\frac{1}{g(n)}}{\sum_{i=1}^{n}}{\frac{X_i}{h(i)}}$ of negatively superadditive dependent random variables with non-identical distribution. Some sufficient conditions for the strong law of large numbers are provided. As applications, the Kolmogorov strong law of large numbers and Marcinkiewicz-Zygmund strong law of large numbers for negatively superadditive dependent random variables are obtained. Our results generalize the corresponding ones for independent random variables and negatively associated random variables.