• Title/Summary/Keyword: statistical limits

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Determination of Minimum Detectable Activity in Environmental Samples (환경방사능 측정에서의 검출한계치의 정량적 고찰 및 최소검출방사능 농도 계산)

  • Lee, Myung-Ho;Shin, Hyun-Sang;Hong, Kwang-Hee;Cho, Young-Hyun;Lee, Chang-Woo
    • Journal of Radiation Protection and Research
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    • v.24 no.3
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    • pp.171-184
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    • 1999
  • In this paper, using statistical theory the basic concepts and the formulars of lower limit of detection were deasribed. Assuming that risks of 5% are acceptable (95% confidence level), lower limits of detection were calculated on the measuring apparatus for alpha, beta and gamma nuclides. Also, on the basis concepts of lower limit of detection, the MDA values were calculated for the radionuclides detected easily in the environment. These results make it possible to evaluate confidence limits on the radioanalytical results in the environmental sample.

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Update Cycle Detection Method of Control Limits using Control Chart Performance Evaluation Model (관리도 성능평가모형을 통한 관리한계선 갱신주기 탐지기법)

  • Kim, Jongwoo;Park, Cheong-Sool;Kim, Jun Seok;Kim, Sung-Shick;Baek, Jun-Geol
    • Journal of Korean Institute of Industrial Engineers
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    • v.40 no.1
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    • pp.43-51
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    • 2014
  • Statistical process control (SPC) is an important technique for monitoring and managing the manufacturing process. In spite of its easiness and effectiveness, some problematic sides of application exist such that the SPC techniques are hardly reflect the changes of the process conditions. Especially, update of control limits at the right time plays an important role in acquiring a reasonable performance of control charts. Therefore, we propose the control chart performance evaluation index (CPEI) based on count data model to monitor and manage the performance of control charts. The CPEI could indicate the degree of control chart performance and be helpful to detect the proper update cycle of control limits in real time. Experiments using real manufacturing data show that the proper update intervals are made by proposed method.

A Comparision of the Limits of Stability at Different Sensory Conditions in 20 Years of Age (20대 연령에서 다양한 감각 조건에 따른 안정성 한계의 비교)

  • Kwon, Oh-Yun;Choi, Houng-Sik
    • Journal of Korean Physical Therapy Science
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    • v.3 no.2
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    • pp.963-973
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    • 1996
  • The purpose of this study was to evaluate and compare the limits of stability(LOS) at different sensory conditions in normal 20 years of age. The LOS was measured at stable surface, and unstable surface and the subjects stood with the feet contacted and 4 inches between the feet with the eyes open and the eyes closed. In this study, 20 physical therapy major subjects were evaluated at Wonkwang Public Health Junior College. In this study applied the paired t-test, and Kruskal-Wallis 1-way ANOVA to determine the statistical significance of results at 0.01 level of significance. The results were as follows: 1. The mean of lateral limits of stability was b.67 degree at stable surface with the eyes open and standing with the feet contacted. 2. The mean of anteroposterior limits of stability was 9.78 degree at stable surface with the eyes open and standing with the feet contacted. 3. The mean of lateral limits of stability was 15.10 degree at stable surface with the eyes open and standing with 4 inches between the feet. 4. The mean of anteroposterior limits of stability was 11.72 degree at stable surface with the eyes open and standing with 4 inches between the feet. 5. The anterior-posterior and lateral limits of stability significantly decreased with the eyes closed(p<0.01). 6. The anterior-posterior and lateral limits of stability significantly decreased at unstable surface(p<0.01). 7. There was no significant difference of limits of stability as the height and foot length(p>0.01).

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OVERVIEWS ON LIMIT CONCEPTS OF A SEQUENCE OF FUZZY NUMBERS I

  • Kwon, Joong-Sung;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.1017-1025
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    • 2011
  • In this paper, we survey various notions and results related to statistical convergence of a sequence of fuzzy numbers, in which statistical convergence for fuzzy numbers was first introduced by Nuray and Savas in 1995. We will go over boundedness, convergence of sequences of fuzzy numbers, statistically convergence and statistically Cauchy sequences of fuzzy numbers, statistical limit and cluster point for sequences of fuzzy numbers, statistical mono-tonicity and boundedness of a sequence of fuzzy numbers and finally statistical limit inferior and limit inferior for the statistically bounded sequences of fuzzy numbers.

Six sigma quality program using Cp (공정능력지수를 이용한 6 시그마 활용)

  • 박기주
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.41
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    • pp.135-145
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    • 1997
  • The statistical approach to quality control aims at alerting its user to any variations in the properties of a manufactured product. Motorola developed and pursued a quality management program called six sigma. The goal of six sigma programs is to improve customer satisfaction through reducing and eliminating defects. six sigma uses several statistical measure to characterize defect levels and process capabilities. The upper and lower specification limits are $\pm6\sigma$(sigma) from nominal, and the process mean is centered at nominal. only 0.002PPM are outside specification limits. Cp=2. this is the design target in a six sigma program. This article presents an important tool available for quality control of a production process at the occurrence of defects in manufactured products at view low levels to improve the efficiency of the manufacturing productivity and to satisfy customer through the reduction of defect rates. To understand the consequences of the level of quality on competitive position, a more technical perspective is needed.

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An Economic Design of the Chart with Variable Sample Size Scheme

  • Park, Chang-Soon;Ji, Seon-Su
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.403-420
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    • 1994
  • An economic design of the $\bar{X}-R$ chart using variable sample size (VSS) scheme is proposed in this paper. In this design the sample size at each sampling time changes according to the values of the previous two sample statistics, sample mean and range. The VSS scheme uses large sample if the sample statistics appear near inside the control limits and smaller sample otherwise. The set of process parameters, such as the sampling interval, control limits and the sample sizes, are chosen to minimize the expected cost per hour. The efficiency of the VSS scheme is compared to the fixed sample size one for cases where there is multiple of assignable causes. Percent reductions of the expected cost in the VSS design are calculated for some given sets of cost parameters. It is shown that the VSS scheme improves the confidence of the procedure and performs statistically better in terms of the number of false alarms and the average time to signal, respectively.

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Median Control Chart using the Bootstrap Method

  • Lim, Soo-Duck;Park, Hyo-Il;Cho, Joong-Jae
    • Communications for Statistical Applications and Methods
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    • v.14 no.2
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    • pp.365-376
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    • 2007
  • This research considers to propose the control charts using median for the location parameter. In order to decide the control limits, we apply several bootstrap methods through the approach obtaining the confidence interval except the standard bootstrap method. Then we illustrate our procedure using an example and compare the performance among the various bootstrap methods by obtaining the length between control limits through the simulation study. The standard bootstrap may be apt to yield shortest length while the bootstrap-t method, the longest one. Finally we comment briefly about some specific features as concluding remarks.

A Study on the Limits of the Comparative School Record Using the Individual Scholastic Evaluation

  • Chung, Yeon-Soo
    • Communications for Statistical Applications and Methods
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    • v.7 no.2
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    • pp.465-473
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    • 2000
  • There is no progress in interpreting the correlation between the high school record and the scholastic aptitude test. This study gives the degree of the linearity between the high school record and the scholastic aptitude test by using the method of the individual scholastic evaluation which was proposed by Chung(1999). The limits of the individual scholastic evaluation are pointed out additionally in inferring the promising individuals having the high scores in the scholastic aptitude test so that the individual scholastic evaluation be used as reference materials when the colleges applying the comparative school record in the entrance exams.

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Interrelationships of Fire and Explosion Properties for Chlorinated Hydrocarbons (염화탄화수소의 화재 및 폭발 특성치 간의 상관관계)

  • Ha, Dong-Myeong
    • Journal of the Korean Society of Safety
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    • v.17 no.4
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    • pp.126-132
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    • 2002
  • By using the reference data, the empirical equations which describe the interrelationships of explosion properties and physical properties of n-chlorinated hydrocarbons have been derived. The properties which have been correlated are the lower and upper explosive limits, the stoichiometric coefficients, the heats of combustion, the carbon numbers. Also, the new equations using the mathematical and statistical methods for predicting the temperature dependence of lower explosive limits(LEL) of chlorinated hydrocarbons on the basis of the literature data are proposed. The fire and explosion properties calculated by the proposed equations in this research were a good agrement with literature data within a few A.A.P.E.(Average Absolute Percent Error) and A.A.D.(Average Absolute Deviation.) From a given explosive properties, by using the proposed equations, it is possible to predict to the fire and explosion characteristics for the other chlorinated hydrocarbons.

New methodologies to derive discharge limits considering operational flexibility of radioactive effluents from Korean nuclear power plants based on historical discharge data

  • Kang, Ji Su;Cheong, Jae Hak
    • Nuclear Engineering and Technology
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    • v.54 no.3
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    • pp.1003-1015
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    • 2022
  • The new methodologies to derive discharge limits considering operational flexibility according to international safety standards were developed to help reduce the environmental releases of radioactive effluents from nuclear power plants (NPPs). To overcome the limitations of the two existing methods to set up discharge limits assuming a specific statistical distribution of the effluent discharge, two modified equations were newly proposed to directly derive a particular discharge limits corresponding to the target 'compliance probability' based on the actual annual discharge data for a specific NPP and radionuclide groups. By applying these to the actual yearly discharge data of 14 Korean NPPs for 7 radionuclide groups for the past 20 years, the applicability of two new methodologies to actual cases was demonstrated. The 'characteristic value' with approximately a 90% compliance probability for each Korean NPP and radionuclide group was proposed based on the results. The new approaches for setting up the discharge limits and the characteristic values developed in this study are expected to be effectively utilized to foster operator's efforts to progressively reduce the environmental releases of radioactive effluents of NPPs relative to the previous discharge data considering operational flexibilities.