• Title/Summary/Keyword: Optimal sample size

검색결과 171건 처리시간 0.025초

대용품질특성치를 이용한 계수선별형 샘플링 검사방식의 경제적 설계 (An Economic Design of Rectifying Inspection Plans Based on a Correlated Variable)

  • 배도선;이경택;최인수
    • 대한산업공학회지
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    • 제23권4호
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    • pp.793-802
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    • 1997
  • A sampling plan is presented for situations where sampling inspection is based on the quality characteristic of interest and items in rejected lots are screened based on a correlated variable. A cost model is constructed which involves the costs of misclassification errors, sampling and screening inspections. A method of finding optimal values of sample size, acceptance number and cutoff value on the correlated variable is presented, and numerical studies are given.

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Corresponding between Error Probabilities and Bayesian Wrong Decision Lasses in Flexible Two-stage Plans

  • Ko, Seoung-gon
    • Journal of the Korean Statistical Society
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    • 제29권4호
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    • pp.435-441
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    • 2000
  • Ko(1998, 1999) proposed certain flexible two-stage plans that could be served as one-step interim analysis in on-going clinical trials. The proposed Plans are optimal simultaneously in both a Bayes and a Neyman-Pearson sense. The Neyman-Pearson interpretation is that average expected sample size is being minimized, subject just to the two overall error rates $\alpha$ and $\beta$, respectively of first and second kind. The Bayes interpretation is that Bayes risk, involving both sampling cost and wrong decision losses, is being minimized. An example of this correspondence are given by using a binomial setting.

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Empirical Bayes Pproblems with Dependent and Nonidentical Components

  • Inha Jung;Jee-Chang Hong;Kang Sup Lee
    • Communications for Statistical Applications and Methods
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    • 제2권1호
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    • pp.145-154
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    • 1995
  • Empirical Bayes approach is applied to estimation of the binomial parameter when there is a cost for observations. Both the sample size and the decision rule for estimating the parameter are determined stochastically by the data, making the result more useful in applications. Our empirical Bayes problems with non-iid components are compared to the usual empirical Bayes problems with iid components. The asymptotic optimal procedure with a computer simulation is given.

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건물용 열병합발전 시스템의 적정규모 산정을 위한 최적 투자모형 (Optimal Sizing Evaluation Model of Building Cogeneration System)

  • 박종성;원선재;김정훈;박승호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 추계학술대회 논문집 학회본부
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    • pp.117-119
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    • 1995
  • For an effective application of the cogeneration system for commercial and industrial buildings, we need to develop a relevant model to determine the long-term based optimal sizing of the cogeneration system considering electrical and thermal load demands, buy and sell contracts with electric utility and the annual production cost. In assessing the optimal sizing of cogeneration, we have to consider both economic parameters and their capacity expansion for the increased electrical and thermals demand in the future. In this paper, we propose a mathematical model for the optimal sizing of cogeneration systems considering annual production costs and other economic parameter such as, lifetime of the equipment, time value of the capital, etc. In the case study, we thoroughly examine the effects of the economic parameters and determine the optimal size of the sample system. In addition, we calculate the payback period of the cogeneration investment.

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불검출 자료를 포함한 작업환경측정 자료의 분석 방법 비교 (A Comparison of Analysis Methods for Work Environment Measurement Databases Including Left-censored Data)

  • 박주현;최상준;고동희;박동욱;성예지
    • 한국산업보건학회지
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    • 제32권1호
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    • pp.21-30
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    • 2022
  • Objectives: The purpose of this study is to suggest an optimal method by comparing the analysis methods of work environment measurement datasets including left-censored data where one or more measurements are below the limit of detection (LOD). Methods: A computer program was used to generate left-censored datasets for various combinations of censoring rate (1% to 90%) and sample size (30 to 300). For the analysis of the censored data, the simple substitution method (LOD/2), β-substitution method, maximum likelihood estimation (MLE) method, Bayesian method, and regression on order statistics (ROS)were all compared. Each method was used to estimate four parameters of the log-normal distribution: (1) geometric mean (GM), (2) geometric standard deviation (GSD), (3) 95th percentile (X95), and (4) arithmetic mean (AM) for the censored dataset. The performance of each method was evaluated using relative bias and relative root mean squared error (rMSE). Results: In the case of the largest sample size (n=300), when the censoring rate was less than 40%, the relative bias and rMSE were small for all five methods. When the censoring rate was large (70%, 90%), the simple substitution method was inappropriate because the relative bias was the largest, regardless of the sample size. When the sample size was small and the censoring rate was large, the Bayesian method, the β-substitution method, and the MLE method showed the smallest relative bias. Conclusions: The accuracy and precision of all methods tended to increase as the sample size was larger and the censoring rate was smaller. The simple substitution method was inappropriate when the censoring rate was high, and the β-substitution method, MLE method, and Bayesian method can be widely applied.

Comparison of Plot Sizes for Forest Inventory in Natural Deciduous Forest In Korea

  • Yim, Jong-Su;Shin, Man Yong
    • 한국산림과학회지
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    • 제95권5호
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    • pp.595-600
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    • 2006
  • The plot design influences the budgets and the precision of forest inventory results. The objective of this study is to determine the efficiency of estimating forest variables such as tree density, basal area, volume, and species richness based on various plot sizes using fixed-area plot sampling in the natural deciduous forest of Pyeong-Chang County, Gang-won Province, Korea. In this study, 108 reference plots were established with a fixed plot size and shape of 0.09 ha ($30m{\times}30m$). In order to determine the optimal plot size for the interest of variables, each sample plot was established using different shapes (square, circle, and rectangle) and was divided into different plot sizes from 100 to $900m^2$. The mean relative difference (MRD) for the sum of the basal area and volume, and tree density per hectare decreased as plot size increased. But the MRD for three variables were only below 13% at the plot size of $500m^2$. Species richness for each reference stand observed ranging from 2 to 15 species, demonstrated highly positive significant relationships with plot size. The minimum plot size for the estimation of tree density, the sum of the BA and volume was determined to be about $400m^2$, whereas the estimation of species richness required a minimum plot size of $500m^2$.

PEMFC 고분자막의 화학적 내구성 평가를 위한 Fenton 반응 조건에 관한 연구 (Study on the Fenton Reaction Condition for Evaluation of Chemical Durability of PEMFC Membrane)

  • 오소형;박지상;정성기;정지홍;박권필
    • Korean Chemical Engineering Research
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    • 제59권1호
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    • pp.49-53
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    • 2021
  • 고분자 연료전지(PEMFC) 고분자막의 화학적 내구성을 평가하는데 Fenton 반응이 자주 사용된다. 그러나 과산화수소와 철 이온의 격렬한 반응 때문에 재현성이 낮아 실험 데이터를 비교하기가 어려운 문제점이 있다. 본 연구에서는 Fenton 반응에 의한 고분자막 내구성 실험의 재현성을 향상시키기 위한 반응조건을 찾고자 하였다. 과산화수소 농도는 30%로 고정시키고 철이온 농도와 온도, 교반속도, 시료크기를 변화시키며 라디칼에 열화된 Nafion 고분자막의 불소이온 농도를 측정했다. 철이온 농도를 높게하거나 고분자막 시료 크기를 크게하고, Fenton 반응 온도를 80 ℃로 높게하면 실험편차가 커져서 철이온 농도 10 ppm, 온도 70 ℃와 시료크기 0.5 ㎠가 적합하였다.

An Improved method of Two Stage Linear Discriminant Analysis

  • Chen, Yarui;Tao, Xin;Xiong, Congcong;Yang, Jucheng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권3호
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    • pp.1243-1263
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    • 2018
  • The two-stage linear discrimination analysis (TSLDA) is a feature extraction technique to solve the small size sample problem in the field of image recognition. The TSLDA has retained all subspace information of the between-class scatter and within-class scatter. However, the feature information in the four subspaces may not be entirely beneficial for classification, and the regularization procedure for eliminating singular metrics in TSLDA has higher time complexity. In order to address these drawbacks, this paper proposes an improved two-stage linear discriminant analysis (Improved TSLDA). The Improved TSLDA proposes a selection and compression method to extract superior feature information from the four subspaces to constitute optimal projection space, where it defines a single Fisher criterion to measure the importance of single feature vector. Meanwhile, Improved TSLDA also applies an approximation matrix method to eliminate the singular matrices and reduce its time complexity. This paper presents comparative experiments on five face databases and one handwritten digit database to validate the effectiveness of the Improved TSLDA.

An Anti-occlusion and Scale Adaptive Kernel Correlation Filter for Visual Object Tracking

  • Huang, Yingping;Ju, Chao;Hu, Xing;Ci, Wenyan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권4호
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    • pp.2094-2112
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    • 2019
  • Focusing on the issue that the conventional Kernel Correlation Filter (KCF) algorithm has poor performance in handling scale change and obscured objects, this paper proposes an anti-occlusion and scale adaptive tracking algorithm in the basis of KCF. The average Peak-to Correlation Energy and the peak value of correlation filtering response are used as the confidence indexes to determine whether the target is obscured. In the case of non-occlusion, we modify the searching scheme of the KCF. Instead of searching for a target with a fixed sample size, we search for the target area with multiple scales and then resize it into the sample size to compare with the learnt model. The scale factor with the maximum filter response is the best target scaling and is updated as the optimal scale for the following tracking. Once occlusion is detected, the model updating and scale updating are stopped. Experiments have been conducted on the OTB benchmark video sequences for compassion with other state-of-the-art tracking methods. The results demonstrate the proposed method can effectively improve the tracking success rate and the accuracy in the cases of scale change and occlusion, and meanwhile ensure a real-time performance.

확률적으로 종속적인 비평형 다단계 샘플링검사법의 설계 및 평가 (Design and Estimation of Multiple Acceptance Sampling Plans for Stochastically Dependent Nonstationary Processes)

  • 김원경
    • 대한산업공학회지
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    • 제25권1호
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    • pp.8-20
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    • 1999
  • In this paper, a design and estimation procedure for the stochastically dependent nonstationary multiple acceptance sampling plans is developed. At first, the rough-cut acceptance and rejection numbers are given as an initial solution from the corresponding sequential sampling plan. A Monte-Carlo algorithm is used to find the acceptance and rejection probabilities of a lot. The conditional probability formula for a sample path is found. The acceptance and rejection probabilities are found when a decision boundary is given. Several decision criteria and the design procedure to select optimal plans are suggested. The formula for measuring performance of these sampling plans is developed. Type I and II error probabilities are also estimated. As a special case, by setting the stage size as 1 in a dependent sampling plan, a sequential sampling plan satisfying type I and II error probabilities is more accurate and a smaller average sample number can be found. In a numerical example, a Polya dependent process is examined. The sampling performances are shown to compare the selection scheme and the effect of the change of the dependency factor.

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