• Title/Summary/Keyword: large deviation

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A Study on the Hydraulic Automatic Gauge Control System of Adaptive Mass Flow Method (Adaptive mass flow method 유압압하식 자동 두께제어 장치에 관한 연구)

  • 윤순현;김문경
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.4
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    • pp.101-107
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    • 1996
  • This test was performed on the hydraulic automatic gauge control(AGC) system of adaptive mass flow method. Fundamental purpose of this study are performance evaluation of this AGC system under the actual rolling condition. It was concluded that the response of AGC system depends on the dynamic characteristics of a reel motor or roll position. The test results are as follows : 1) The control method of reel motor current is better than than of the roll position as AGC system. 2) The more steel strip thickness of delivery side is thick, the larger the gauge deviation is large, and the more it is thin, the larger the gauge deviation rate is large. 3) Because the gauge deviation is large at acceleration and deceleration speed than steady speed, so AGC system is better to adopt over 50m/min. By applying this AGC system, not only the accurary in strip thickness were improved but also productivity was improved dramatically.

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ON THE MODERATE DEVIATION TYPE FOR RANDOM AMOUNT OF SOME RANDOM MEASURES

  • Hwang, Dae Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.2
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    • pp.19-27
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    • 2001
  • In this paper we study another kind of the large deviation property, i.e. moderate deviation type for random amount of random measures on $R^d$ about a Poisson point process and a Poisson center cluster random measure.

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ON THE CURIE-WEISS MODEL WITH A NEW HAMILTONIAN

  • Lee, Sang Ho
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.301-313
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    • 1999
  • In this paper we obtain similar limit theorems of the Generalized Curie - Weiss model for a new class Hamiltonian. We expressed the saddlepoint approximation by large deviation rate and then obtain the limit theorems.

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A NOTE ON FUNCTIONAL LIMIT THEOREM FOR THE INCREMENTS OF FBM IN SUP-NORM

  • Hwang, Kyo-Shin
    • East Asian mathematical journal
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    • v.24 no.3
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    • pp.275-287
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    • 2008
  • In this paper, using large deviation results for Gaussian processes, we establish some functional limit theorems for increments of a fractional Brownian motion in the usual sup-norm via estimating large deviation probabilities for increments of a fractional Brownian motion.

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On Lag Increments Of A Gaussian Process

  • Choi, Yong-Kab;Choi, Jin-Hee
    • Communications of the Korean Mathematical Society
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    • v.15 no.2
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    • pp.379-390
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    • 2000
  • In this paper the limit theorems on lag increments of a Wiener process due to Chen, Kong and Lin [1] are developed to the case of a Gaussian process via estimating upper bounds of large deviation probabilities on suprema of the Gaussian process.

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STRASSEN'S FUNCTIONAL LIL FOR d-DIMENSIONAL SELF-SIMILAR GAUSSIAN PROCESS IN HOLDER NORM

  • HWANG, KYO-SHIN;LIN, ZHENGYAN
    • Journal of the Korean Mathematical Society
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    • v.42 no.5
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    • pp.959-973
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    • 2005
  • In this paper, based on large deviation probabilities on Gaussian random vectors, we obtain Strassen's functional LIL for d-dimensional self-similar Gaussian process in Holder norm via estimating large deviation probabilities for d-dimensional self-similar Gaussian process in Holder norm.

LIMIT BEHAVIORS FOR THE INCREMENTS OF A d-DIMENSIONAL MULTI-PARAMETER GAUSSIAN PROCESS

  • CHOI YONG-KAB;LIN ZRENGYAN;SUNG HWA-SANG;HWANG KYO-SHIN;MOON HEE-JIN
    • Journal of the Korean Mathematical Society
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    • v.42 no.6
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    • pp.1265-1278
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    • 2005
  • In this paper, we establish limit theorems containing both the moduli of continuity and the large incremental results for finite dimensional Gaussian processes with N parameters, via estimating upper bounds of large deviation probabilities on suprema of the Gaussian processes.

Thickness Dependence of Size and Arrangement in Anodic TiO2 Nanotubes

  • Kim, Sun-Mi;Lee, Byung-Gun;Choi, Jin-Sub
    • Bulletin of the Korean Chemical Society
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    • v.32 no.10
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    • pp.3730-3734
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    • 2011
  • The degree of self-assembly and the size variation of nanotubular structures in anodic titanium oxide prepared by the anodization of titanium in ethylene glycol containing 0.25 wt % $NH_4F$ at 40 V were investigated as a function of anodization time. We found that the degree of self-assembly and the size of the nanotubes were strongly dependent on thickness deviation and thus indirectly on anodization time, as the thickness deviation was caused by the dissolution of the topmost tubular structures at local areas during long anodization. A large deviation in thickness led to a large deviation in the size and number of nanotubes per unit area. The dissolution primarily occurred at the bottoms of the nanotubes ($D_{bottom}$) in the initial stage of anodization (up to 6 h), which led to the growth of nanotubes. Dissolution at the tops ($D_{top}$) was accompanied by $D_{bottom}$ after the formed structures contacted the electrolyte after 12 h, generating the thickness deviation. After extremely long anodization (here, 70 h), $D_{top}$ was the dominant mode due to increase in pH, meaning that there was insufficient driving force to overcome the size distribution of nanotubes at the bottom. Thus, the nanotube array became disorder in this regime.

Comparison of Accuracy and Output Waveform of Devices According to Rectification Method (정류방식에 따른 장치의 정확도와 출력 파형의 비교)

  • Lee, In Ja
    • Journal of radiological science and technology
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    • v.41 no.6
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    • pp.603-610
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    • 2018
  • This study examined the following: accuracy of the exposure conditions in the inverter device and three-phase device; output waveform over the exposure conditions; and average and standard deviation of the output waveform. After assessing whether the dose corresponding to the theoretical dose was presented, the following conclusions were obtained: 1. The accuracy of the tube voltage(kVp) and tube current(mA) exposure time(sec) was within the tolerable level prescribed in Korea's Safety Management Standards. In the error, Inverter device was large the tube voltage and exposure time, the three-phase device was large the tube current. 2. In terms of the output waveform of the exposure conditions and the average and standard deviation of the output waveform, the higher tube voltage and larger tube current resulted in greater standard deviation in pulsation. Moreover, the standard deviation of pulsation was shown to be greater in the inverter device than the three-phase device; there was also greater standard deviation in the inverter device considering the exposure time. 3. Regarding the exposure conditions over the output dose, all linearity showed the coefficient of variation which had an allowable limit of error within 0.05. Although the output dose ratio for the inverter device was 1.00~1.10 times no difference that of the three-phase device, there was almost no difference in dose ratio between the tube currents.

MAXIMAL INEQUALITIES AND STRONG LAW OF LARGE NUMBERS FOR AANA SEQUENCES

  • Xuejun, Wang;Shuhe, Hu;Xiaoqin, Li;Wenzhi, Yang
    • Communications of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.151-161
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    • 2011
  • Let {$X_n$, $n{\geq}1$} be a sequence of asymptotically almost negatively associated random variables and $S_n=\sum^n_{i=1}X_i$. In the paper, we get the precise results of H$\acute{a}$jek-R$\acute{e}$nyi type inequalities for the partial sums of asymptotically almost negatively associated sequence, which generalize and improve the results of Theorem 2.4-Theorem 2.6 in Ko et al. ([4]). In addition, the large deviation of $S_n$ for sequence of asymptotically almost negatively associated random variables is studied. At last, the Marcinkiewicz type strong law of large numbers is given.