• 제목/요약/키워드: Law of Large numbers

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ON MARCINKIEWICZ'S TYPE LAW FOR FUZZY RANDOM SETS

  • Kwon, Joong-Sung;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • 제32권1_2호
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    • pp.55-60
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    • 2014
  • In this paper, we will obtain Marcinkiewicz's type limit laws for fuzzy random sets as follows : Let {$X_n{\mid}n{\geq}1$} be a sequence of independent identically distributed fuzzy random sets and $E{\parallel}X_i{\parallel}^r_{{\rho_p}}$ < ${\infty}$ with $1{\leq}r{\leq}2$. Then the following are equivalent: $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ a.s. in the metric ${\rho}_p$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in probability in the metric ${\rho}_p$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in $L_1$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in $L_r$ where $S_n={\Sigma}^n_{i=1}\;X_i$.

무역조정지원(貿易調整支援) 사례(事例)에 관한 연구(硏究) (Analysis on the Trade Adjustment Assistance Program and the Case Study)

  • 이기환
    • 무역상무연구
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    • 제37권
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    • pp.277-327
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    • 2008
  • This paper is to provide for an analysis on the trade adjustment assistance program and the Case study affected by international trade and FTA. The paper offers a legal study on analysis about Korea's Trade Adjustment Assistance Law for the Manufacturing Industries, USA's TAA. and Japan's law for Industry revival. In general, USA's TAA measures are defined as assistance actions for business enterprises, farmers and manufacturing industries workers. We exclude farmers and fishermen under Korea's Trade Adjustment Assistance Law for the Manufacturing Industries's business enterprises and workers, but we give them the systemic supports under korea's special assistance law for the farmers and fishermen and so on after FTA. Especially this focuses on the trade adjustment assistance case about both Korea's agriculture-farmer assistance from FTA and USA's TAA from workers in layoffs of trade-impacted communities. Korea has provided TAA to the sphere of agriculture after special legislation in Korea-Chile helping closed orchard, modernizing high quality producing facility for agriculture competition, producing superior fruit saplings, and constructing the distribution center in the producing district. But for US-Korea FTA and rapid increase of import by FTA expansion, we must prepare such indemnity systems for loss as cash benefit and wider aids for closed farm. The USA's TAA program targets manufacturing workers affected by international trade, who may have fewer transferable skills and face greater challenges to reemployment than other dislocated workers. A large majority sought some assistance from their one-stop center. Relatively small numbers chose to enroll in training, but those who did it often used this opportunity to chart a new career path. Finally, we learned the importance of education and discipline from USA cases. The fast and accurate information providing can raise efficiencies. The infrastructure can maximize the effect of TAA. The effective application would help us get over difficulties of TAA at hand.

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LES를 이용한 판토그라프 팬헤드의 와 흘림 현상 해석 (ANALYSIS OF VORTEX SHEDDING PHENOMENA AROUND PANTOGRAPH PANHEAD FOR TRAIN USING LARGE EDDY SIMULATION)

  • 장용준
    • 한국전산유체공학회지
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    • 제16권2호
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    • pp.17-23
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    • 2011
  • The turbulent flow and vortex shedding phenomena around pantograph panhead of high speed train were investigated and compared with available experimental data and other simulations. The pantograph head was simplified to be a square-cross-section pillar and assumed to be no interference with other bodies. The Reynolds number (Re) was 22,000. The LES(large eddy simulation) of FDS code was applied to solve the momentum equations and the Wener-Wengle wall model was employed to solve the near wall turbulent flow. Smagorinsky model($C_s$=0.2) was used as SGS(subgrid scale) model. The total grid numbers were about 9 millions and the analyzed domain was divided into 12 multi blocks which were communicated with each other by MPI. The time-averaged mainstream flows were calculated and well compared with experimental data. The phased-averaged quantities had also a good agreement with experimental data. The near-wall turbulence should be carefully treated by wall function or direct resolution to get successful application of LES methods.

4각 덕트내에서 난류 맥동유동의 난류특성에 관한 연구 (A Study on Turbulent Characteristics of Turbulent Pulsating Flows in a Square Duct)

  • 박길문;고영하
    • 설비공학논문집
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    • 제2권3호
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    • pp.188-198
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    • 1990
  • Turbulent characteristics of turbulent pulsating flows were studied experimentally in a square duct. Velocity waveforms, velocity profiles, and turbulent intensity of turbulent pulsating flow were investigated by using a hot-wire anemometer with data acquisition and a processing system in a square duct with a ratio of 1 ($40mm{\times}40mm$) to 4,000mm long. Turbulent components were shown to be larger in decelerating than in accelerating regions and also larger for a large phase of velocity and U'rms distribution of turbulent flow. The effect of velocity amplitude ratio does not exist for specified time [${\theta}(z^{\prime})$], amplitude ratio (${\mid}U^{\prime}_{rms.os.1}{\mid}/{\mid}U_{m.os.1}{\mid}$), and phase difference (${\Delta}U^{\prime}_{rms.os.1}-{\Delta}U_{m.os.1}$) in either turbulent oscillating or cross-sectional mean velocity components. The effect of dimensionless angular frequency for specified time [${\theta}(z^{\prime})$] can be disregarded because the dimensionless angular frequency does not affect the specified time. The velocity distributions of turbulent pulsating flows for various time-averaged Reynolds numbers are in approximate agreement with the velocity distributions for equivalent Reynolds numbers and 1/7th power law of steady flow.

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독립인 확률변수들의 Tail 합의 극한 성질에 대하여 (Limiting Behavior of Tail Series of Independent Random Variable)

  • 장윤식;남은우
    • 한국콘텐츠학회논문지
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    • 제6권4호
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    • pp.63-68
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    • 2006
  • 본 연구에서는, 서로 독립인 확률변수들의 합 $S_n$이 수렴하는 경우에, 확률변수들의 Tail 합 $T_n=S-S_{n-1}=\sum_{i=n}^{\infty}X_i$의 극한 성질을 연구함으로써, $S_n$이 하나의 확률변수 S로 수렴하는 속도를 연구한다. 좀 더 구체적으로 말하자면, 유사-단조감소(Quasi-monotone decreasing)하는 상수(Norming constants)의 수열에 대하여, 확률변수들의 Tail 합에 대한 약대수법칙과 하나의 수렴법칙이 동등함을 정리로 기술하고 증명하여, 기존의 연구 결과를 더 넓은 부류의 상수들의 경우에 적용할 수 있도록 확장한다.

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ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF NA RANDOM VARIABLES

  • BAEK J. I.;NIU S. L.;LIM P. K.;AHN Y. Y.;CHUNG S. M.
    • Journal of the Korean Statistical Society
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    • 제34권4호
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    • pp.263-272
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    • 2005
  • Let {$X_n,\;n{\ge}1$} be a sequence of negatively associated random variables which are dominated randomly by another random variable. We discuss the limit properties of weighted sums ${\Sigma}^n_{i=1}a_{ni}X_i$ under some appropriate conditions, where {$a_{ni},\;1{\le}\;i\;{\le}\;n,\;n\;{\ge}\;1$} is an array of constants. As corollary, the results of Bai and Cheng (2000) and Sung (2001) are extended from the i.i.d. case to not necessarily identically distributed negatively associated setting. The corresponding results of Chow and Lai (1973) also are extended.

ON ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF LNQD RANDOM VARIABLES

  • Choi, Jeong-Yeol;Kim, So-Youn;Baek, Jong-Il
    • 호남수학학술지
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    • 제34권2호
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    • pp.241-252
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    • 2012
  • Let $\{X_{ni},\;1{\leq}i{\leq}n,\;n{\geq}1\}$ be a sequence of LNQD which are dominated randomly by another random variable X. We obtain the complete convergence and almost sure convergence of weighted sums ${\sum}^n_{i=1}a_{ni}X_{ni}$ for LNQD by using a new exponential inequality, where $\{a_{ni},\;1{\leq}i{\leq}n,\;n{\geq}1\}$ is an array of constants. As corollary, the results of some authors are extended from i.i.d. case to not necessarily identically LNQD case.

DLMS 알고리즘의 수렴에 관한 연구 (Almost-Sure Convergence of the DLMS Algorithm)

  • Ahn, Sang Sik
    • 전자공학회논문지B
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    • 제32B권9호
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    • pp.62-70
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    • 1995
  • In some practical applications of the LMS Algorithm the coefficient adaptation can be performed only after some fixed delay. The resulting algorithm is known as the Delayed Least Mean Square (DLMS) algorithm in the literature. There exist analyses for this algorithm, but most of them are based on the unrealistic independence assumption between successive input vectors. Inthis paper we consider the DLMS algorithm with decreasing step size .mu.(n)=n/a, a>0 and prove the almost-sure convergence ofthe weight vector W(n) to the Wiener solution W$_{opt}$ as n .rarw. .inf. under the mixing unput condition and the satisfaction of the law of large numbers. Computer simulations for decision-directed adaptive equalizer with decoding delay are performed to demonstrate the functioning of the proposed algorithm.m.

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임의 저장방식 하에서 기업 내 저장공간과 외부의 임차공간에 대한 최적 규모 결정 (Optimal Sizing of In-Plant and Leased Storage Spaces under a Randomized Storage Policy)

  • 이문규
    • 대한산업공학회지
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    • 제30권4호
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    • pp.294-300
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    • 2004
  • This paper considers a trade-off effect between in-house storage space and leased storage space in generic warehouses operated under a randomized storage assignment policy. The amount of in-house storage space is determined based on the law of large numbers satisfying a given service level of protection against space shortages. Excess space requirement is assumed to be met via leased storage space. A new analytic model is formulated for determining the excess space such that the total cost of storage space is minimized. Finally, computational results are provided for the systems where the standard economic-order-quantity inventory model is used for all items.

The empirical analysis of the growth rate on Small and medium size Enterprises(SMEs) in Korea

  • Han, Jung-Hee
    • 벤처창업연구
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    • 제1권1호
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    • pp.105-125
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    • 2006
  • This paper relates recent empirical research on the growth. Smaller and younger firms have been growing more quickly than larger and older firms, thus, generating proportionately more new jobs. It is not difficult to understand why small and medium firms receive so much attention. Because SMEs provide about 80 percent of private sector employment so SMEs performance is an important economic and social factor. Despite this, they are subject to higher risk and mobility than those at the large firms. This paper is analyzes the relationship between firm growth measured as growth in employment, sales and production and firms age, size and R&D investment. The growth and its relationship with the determinants is linked to industrial policy in Korea. Empirical results are based on an unbalanced panel data covering period 1999-2002. Results show significant relationship between growth, size and age of firm.

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