• Title/Summary/Keyword: large deviation rate

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A Study on Split Grading Methods for Women's Jackets and Increase Rate of Body Size of Women aged 30-50s (성인 여성의 연령대별 인체 부위 간 치수증감률을 반영한 재킷 그레이딩에 관한 연구)

  • Baek, Rise;Song, Hwa Kyung
    • Fashion & Textile Research Journal
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    • v.21 no.6
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    • pp.821-829
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    • 2019
  • This study investigated the location of grading lines and grading amount for a jacket item by the target age groups (20-30, 30-40, and 40-50) for 17 women's wear brands. This study then utilized 7th SizeKorea data to analyze the increase rate of body size and to suggest the grading deviation distribution ratio of the jackets using regression analysis. The increase in neck girth of the jackets targeting aged 30-40s did not reflect the human body change rate. The shoulder length increased by 4.6%-8.1% with the bust girth increase; however, the brands produced longer shoulder length reflecting 20-35% of the bust girth increase. The armhole girth was 54.9% - 59.7% of bust circumstance increase rate. However, the 20-30 target age group brands distributed 80% of bust girth to armhole girth and the 30-40 and the 40-50 target age group brands distributed 50% of the bust girth to armhole. In particular, the 20-30 target age group brands were found to produce a large margin around the armhole. When it came to length items, the brands targeting 20-30s and the 40-50s reflected deviation distribution rate of length from underarm to waist and length from waist to hip in comparison with the overall jacket length deviation. The 30-40 target age group brands, 8 out of 20 brands distributed the jacket length deviation in the length from the back of neck to the underarm; consequently, only 22% percent should be distributed in this part.

LARGE TIME ASYMPTOTICS OF LEVY PROCESSES AND RANDOM WALKS

  • Jain, Naresh C.
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.583-611
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    • 1998
  • We consider a general class of real-valued Levy processes {X(t), $t\geq0$}, and obtain suitable large deviation results for the empiricals L(t, A) defined by $t^{-1}{\int^t}_01_A$(X(s)ds for t > 0 and a Borel subset A of R. These results are used to obtain the asymptotic behavior of P{Z(t) < a}, where Z(t) = $sup_{u\leqt}\midx(u)\mid$ as $t\longrightarrow\infty$, in terms of the rate function in the large deviation principle. A subclass of these processes is the Feller class: there exist nonrandom functions b(t) and a(t) > 0 such that {(X(t) - b(t))/a(t) : t > 0} is stochastically compact, i.e., each sequence has a weakly convergent subsequence with a nondegenerate limit. The stable processes are in this class, but it is much larger. We consider processes in this class for which b(t) may be taken to be zero. For any t > 0, we consider the renormalized process ${X(u\psi(t))/a(\psi(t)),u\geq0}$, where $\psi$(t) = $t(log log t)^{-1}$, and obtain large deviation probability estimates for $L_{t}(A)$ := $(log log t)^{-1}$${\int_{0}}^{loglogt}1_A$$(X(u\psi(t))/a(\psi(t)))dv$. It turns out that the upper and lower bounds are sharp and depend on the entire compact set of limit laws of {X(t)/a(t)}. The results extend to random walks in the Feller class as well. Earlier results of this nature were obtained by Donsker and Varadhan for symmetric stable processes and by Jain for random walks in the domain of attraction of a stable law.

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Exact Asymptotics in a Multi-class M/G/1 Queue

  • Lee, Ji-Yeon;Dabrowski, Andre;McDonald, David R.
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.04a
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    • pp.43-47
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    • 2006
  • Consider a multitype queue where queued customers arc served in their order of arrival at a rate which depends on the customer type. Here we calculate the sharp asymptotics of the probability the total number of customers in the queue reaches a high level before emptying. The natural state space to describe this queue is a tree whose branches increase in length as the number of customers in the queue grows. Consequently it is difficult to prove a large deviation principle. Moreover, since service rates depend on the customer type the stationary distribution is not of product form so there is no simple expression for the stationary distribution. Instead, we use a change of measure technique which increases the arrival rate of customers and decreases the departure rate thus making large deviations common.

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Hybrid Scaling Based Dynamic Time Warping for Detection of Low-rate TCP Attacks

  • So, Won-Ho;Yoo, Kyoung-Min;Kim, Young-Chon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.7B
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    • pp.592-600
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    • 2008
  • In this paper, a Hybrid Scaling based DTW (HS-DTW) mechanism is proposed for detection of periodic shrew TCP attacks. A low-rate TCP attack which is a type of shrew DoS (Denial of Service) attacks, was reported recently, but it is difficult to detect the attack using previous flooding DoS detection mechanisms. A pattern matching method with DTW (Dynamic Time Warping) as a type of defense mechanisms was shown to be reasonable method of detecting and defending against a periodic low-rate TCP attack in an input traffic link. This method, however, has the problem that a legitimate link may be misidentified as an attack link, if the threshold of the DTW value is not reasonable. In order to effectively discriminate between attack traffic and legitimate traffic, the difference between their DTW values should be large as possible. To increase the difference, we analyze a critical problem with a previous algorithm and introduce a scaling method that increases the difference between DTW values. Four kinds of scaling methods are considered and the standard deviation of the sampling data is adopted. We can select an appropriate scaling scheme according to the standard deviation of an input signal. This is why the HS-DTW increases the difference between DTW values of legitimate and attack traffic. The result is that the determination of the threshold value for discrimination is easier and the probability of mistaking legitimate traffic for an attack is dramatically reduced.

Monitoring Method for an Ambient Gamma Exposure Rate and Its Measurement Analysis

  • Lee, Mo-Sung;Woo, Jong-Kwan
    • Journal of Radiation Protection and Research
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    • v.31 no.4
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    • pp.197-201
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    • 2006
  • Daily and seasonal variations of the ambient gamma ray exposure rates were measured by using a pressurized ion chamber from January 2003 to December 2005 in the CheongJu Regional Radiation Monitoring Post and the patterns of the distributions were studied. The annual average of the daily variation of the exposure rate was $\sim0.17{\mu}R/h$. The exposure rate was found to be maximum during 8:00 am to 9:00 am and minimum during 8:00 pm to 10:00 pm. For the annual data, the exposure rate was the minimum during the month of February. The exposure rate increased from February to mid-October (except during the period from May to July with no change) and decreased from October to February. The seasonal variation was found to be about $1{\mu}R/h$. Most of the measured values (96%) of the exposure rates fell under the normal distribution with a deviation of less than 4.8% and the remaining 4% had large fluctuations caused mainly by the rainfalls.

Estimating the Queue Length Distribution of ATM multiplexer using Threshold Bootstrap

  • 김윤배
    • Proceedings of the Korea Society for Simulation Conference
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    • 1999.10a
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    • pp.62-62
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    • 1999
  • In this paper, we propose a new technique of estimating tail of steady-state queue length distribution; Pr(Q>q), fo ATM multiplexer. Pr(Q>q) is a fundamental measure of network congestion. Assessing Pr(Q>q) properly is crucial for design and control of ATM networks. Data traffic pattern of high-speed networks is highly correlated and bursty. Estimating Pr(Q>q) is very difficult because of correlation and burstiness. We estimate entropy(rate-function) using large deviation principles and threshold bootstrap. Simulation studies are conducted to compare the performance of an existing method and our new method.

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A Study on Hydraulic Pressure Change Characteristics of Water Distribution Networks in Large Cities (대도시 급배수관망의 수압변화 특성에 관한 연구)

  • Oh, Chang-Ju;Kim, Tae-Kyoung;Rhee, Kyoung-Hoon
    • Journal of Korean Society of Water and Wastewater
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    • v.19 no.3
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    • pp.279-287
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    • 2005
  • In this study, I suggest an effective operation of waterwork facilities in large cities and a scientific method for utilizing water in water distribution systems. To achieve this goal, my simulation were carried out on data from Kwangju City using Pipenet '98, a pipe-network program. From this simulation, I examine the possibilities of application the system in large cities, comparing data measured at 33 hydraulic pressure monitoring places from waterwork enterprises. The result is coincident with that of waterwork enterprises, with about a 12.5% average error rate and $0.32kg/cm^2$ average deviation. The method and program I use here can be helpful in cities where there is a need to extend the waterwork facilities, or where there is a need to suspend the water supply, and/or there is an accident. The simulation shows how to expand waterwork facilities effectively, how to prevent accidents, and how to estimate the hydraulic pressure even in the areas without monitoring places.

Strain Rates and OH Layer Characteristics in Stabilization Region for Turbulent Non-premixed Jet Flames Close to Blowoff (동축공기 난류제트확산화염의 화염날림 근처에서의 변형률 및 OH 특성)

  • Hwang, Jeongjae;Kim, Taesung;Yoon, Jisu;Yoon, Youngbin
    • 한국연소학회:학술대회논문집
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    • 2014.11a
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    • pp.211-213
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    • 2014
  • Simultaneous measurements of planar laser-induced fluorescence (PLIF) of OH radicals and particle image velocimetry (PIV) were used to investigate the strain rates and OH structure characteristics of turbulent syngas non-premixed jet flames close to blowoff. Mean values of the maximum principal strain rate on OH layer decreases with the axial distance, and its standard deviation is significantly large upstream. Strain rate on stabilization region of the stable flame is only about a half of that of the flame near blowoff.

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Numerical investigation of the large over-reading of Venturi flow rate in ARE of nuclear power plant

  • Wang, Hong;Zhu, Zhimao;Zhang, Miao;Han, Jinlong
    • Nuclear Engineering and Technology
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    • v.53 no.1
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    • pp.69-78
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    • 2021
  • Venturi meter is frequently used in feed water flow control system in a nuclear power plant. Its accurate measurement plays a vital role in the safe operation of the plant. This paper firstly investigates the influence of the length of each section of pipeline, the throat inner diameter of Venturi and the flow characteristics in a single-phase flow on the accuracy of Venturi measurement by numerical calculation. Then the flow and the accuracy are discussed in a multi-phase flow. Numerical results show that the geometrical parameters and the characteristics of complex turbulent flow in the single-phase flow have little impact on the accuracy of Venturi flow rate measurement. In the multi-phase flow, the calculated flow rate of Venturi deviated from the actual flow rate and this deviation value is closely related to the amount of steam in the pipeline and increases sharply with the increase of the amount of steam. The over-reading of Venturi flow rate is present.