• Title, Summary, Keyword: strong law

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ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE NEGATIVELY DEPENDENT RANDOM VARIABLES

  • Baek, Jong-Il;Seo, Hye-Young;Lee, Gil-Hwan;Choi, Jeong-Yeol
    • Journal of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.827-840
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    • 2009
  • Let {$X_{ni}$ | $1{\leq}i{\leq}n,\;n{\geq}1$} be an array of rowwise negatively dependent (ND) random variables. We in this paper discuss the conditions of ${\sum}^n_{t=1}a_{ni}X_{ni}{\rightarrow}0$ completely as $n{\rightarrow}{\infty}$ under not necessarily identically distributed setting and the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables is also considered.

ON STRONG LAWS OF LARGE NUMBERS FOR 2-DIMENSIONAL POSITIVELY DEPENDENT RANDOM VARIABLES

  • Kim, Tae-Sung;Beak, Hoh-Yoo;Seo, Hye-Young
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.709-718
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    • 1998
  • In this paper we obtain strong laws of large numbers for 2-dimensional arrays of random variables which are either pairwise positive quadrant dependent or associated. Our results imply extensions of Etemadi`s strong laws of large numbers for nonnegative random variables to the 2-dimensional case.

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The Power of Power Law: A View from VoD Service

  • Lee, Hoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38B no.8
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    • pp.607-614
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    • 2013
  • In this work we investigate the power of power law in the VoD service over IP network. Especially, we show that the power of power law is strong in the location of the contents storage for the VoD service and its impact on the link dimensioning. This work first shows the instance of the power law in the popularity of the video contents from the real data for the IPTV service. After that we propose an analytic model that characterizes the behavior of customers in accessing the video servers as well as the power law in the viewing pattern. Finally, we show the impact of the power law by proposing a model for the cost as well as link dimensioning. Via numerical experiment we show the implication of the proposition.

The Effect of International Trade on Rule of Law

  • Yang, Junsok
    • East Asian Economic Review
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    • v.17 no.1
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    • pp.27-53
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    • 2013
  • In this paper, we look at the relationship between international trade and the rule of law, using the World Justice Project Rule of Law Index, which include index figures on human rights, limits on government powers, transparency and regulatory efficiency. Based on regression analyses using the rule of law index figures and international trade figures (merchandise trade, service trade, exports and imports as percentage of GDP,) international trade and basic human rights seem to have little relationship; but trade has a close positive relationship with strong order and security. Somewhat surprisingly, regulatory transparency and effective implementation seems to have little or no effect on international trade and vice versa. International trade shows a clear positive relationship with the country's criminal justice system, but the relationship with the civil justice system is not as clear as such. For regulatory implementation and civil justice, services trade positively affect these institutions, but these institutions in turn affect exports more strongly than services trade. Finally, the effect of trade on rule of law is stronger on a medium to long term (10-20 year) time horizon.

Strong Consistent Estimator for the Expectation of Fuzzy Stochastic Model

  • Kim, Yun-Kyong
    • International Journal of Reliability and Applications
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    • v.1 no.2
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    • pp.123-131
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    • 2000
  • This paper concerns with the consistent estimator for the fuzzy expectation of a random variable taking values in the space F($R^p$) of upper semicontinuous convex fuzzy subsets of $R^p$ with compact support. We introduce the concept of a fuzzy sample mean and show that the fuzzy sample mean is a strong consistent estimator for the fuzzy expectation. Some examples are given to illustrate the main result.

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STRONG LAWS OF LARGE NUMBERS FOR RANDOM UPPER-SEMICONTINUOUS FUZZY SETS

  • Kim, Yun-Kyong
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.511-526
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    • 2002
  • In this paper, we concern with SLLN for sums Of in-dependent random upper-semicontinuous fuzzy sets. We first give a generalization of SLLN for sums of independent and level-wise identically distributed random fuzzy sets, and establish a SLLN for sums of random fuzzy sets which is independent and compactly uniformly integrable in the strong sense. As a result, a SLLN for sums of independent and strongly tight random fuzzy sets is obtained.

On the Strong Laws for Weighted Sums of AANA Random Variables

  • Kim, Tae-Sung;Ko, Mi-Hwa;Chung, Sung-Mo
    • Journal of the Korean Statistical Society
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    • v.31 no.3
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    • pp.369-378
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    • 2002
  • Strong laws of large numbers for weighted sums of asymptotically almost negatively associated(AANA) sequence are proved by our generalized maximal inequality for AANA random variables at a crucial step.