• Title/Summary/Keyword: statistical process

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A Statistical Control Chart for Process with Correlated Subgroups

  • Lee, Kwang-Ho
    • Communications for Statistical Applications and Methods
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    • v.5 no.2
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    • pp.373-381
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    • 1998
  • In this paper a new control chart which accounts for correlation between process subgroups will be proposed. We consider the case where the process fluctuations are autocorrelated by a stationary AR(1) time series and where n($\geq1$) items are sampled from the process at each sampling time. A simulation study is presented and shows that for correlated subgroups, the proposed control chart makes a significant improvement over the traditionally employed X-bar chart which ignores subgroup correlations. Finally, we illustrate the proposed chart by comparing the standardized residuals and X-bar chart on a data set of motor shaft diameters.

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The study for the applications of the measurement system assessment in statistical process control (통계적 공정관리 추진시 측정시스템 평가의 실시방법에 관한 연구)

  • 민철희;백재욱
    • The Korean Journal of Applied Statistics
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    • v.11 no.1
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    • pp.13-28
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    • 1998
  • Corrent measurement system assessment is crucial in helping improve process or quality. In this article, we would like to apply several methods of measurement system assessment in statistical process control. Specifically, focus is on accuracy, precision (both repeatability and reproducibility included), and stability of the measurement process.

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Applying an Expert System to Statistical Process Control (통계적 공정 제어에 전문가 시스템의 적용에 관한 연구)

  • 윤건상;김훈모;최문규
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.411-414
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    • 1995
  • Statistical Process Control (SPC) is a set of methodologies for signaling the presence of undesired sources of variation in manufacturing processes. Expert System in SPC can serve as a valuable tool to automate the analysis and interpretation of control charts. In this paper we put forward a method of successful application of Expert System to SPC in manufacturing process.

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Optimization Methodology Integrated Data Mining and Statistical Method (데이터 마이닝과 통계적 기법을 통합한 최적화 기법)

  • Song, Suh-Ill;Shin, Sang-Mun;Jung, Hey-Jin
    • Journal of Korean Society for Quality Management
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    • v.34 no.4
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    • pp.33-39
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    • 2006
  • These days manufacture technology and manufacture environment are changing rapidly. By development of computer and enlargement of technique, most of manufacture field are computerized. In order to win international competition, it is important for companies how fast get the useful information from vast data. Statistical process control(SPC) techniques have been used as a problem solution tool at manufacturing process until present. However, these statistical methods are not applied more extensively because it has much restrictions in realistic problems. These statistical techniques have lots of problems when much data and factors are analyzed. In this paper, we proposed more practical and efficient a new statistical design technique which integrated data mining (DM) and statistical methods as alternative of problems. First step is selecting significant factor using DM feature selection algorithm from data of manufacturing process including many factors. Second step is finding optimum of process after estimating response function through response surface methodology(RSM) that is a statistical techniques

Statistical Tests for Process Capability Index Cp Based on Mixture Normal Process (혼합 정규공정 하에서의 공정능력지수 Cp에 대한 가설검정)

  • Cho, Joong Jae;Heo, Tae-Young;Jeong, Jun Chel
    • Journal of Korean Society for Quality Management
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    • v.42 no.2
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    • pp.209-219
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    • 2014
  • Purpose: The purpose of this study is to develop the statistical test for process capability index $C_p$ based on mixture normal process. Methods: This study uses Bootstrap method to calculate the approximate P-value for various simulation conditions under mixture normal process. Results: This study indicates that our proposed method is effective way to test for process capability index $C_p$ based on mixture normal process. Conclusion: This study finds out that statistical test for process capability index $C_p$ based on mixture normal process is useful for real application.

AN INVESTIGATIVE STUDY ON THE COMBINING SPC AND EPC (SPC와 EPC 통합에 관한 조사연구)

  • 김종걸;정해운
    • Proceedings of the Safety Management and Science Conference
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    • 1999.11a
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    • pp.217-236
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    • 1999
  • Engineering process control (EPC) is one of the techniques very widely used in process. EPC is based on control theory which aims at keeping the process on target. Statistical process control (SPC), also known as statistical process monitoring. The main purpose of SPC is to look for assignable causes (variability) in the process data. The combined SPC/EPC scheme is gaining recognition in the process industries where the process frequently experiences a drifting mean. This paper aims to study the difference between SPC and EPC in simple terms and presents a case study that demonstrates successful integration of SPC and EPC for a product in drifting industry. Statistical process control (SPC) monitoring of the special causes of a process, along with engineering feedback control such as proportional-integral-derivative (PID) control, is a major tool for on-line quality improvement.

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Statistical Estimation for Hazard Function and Process Capability Index under Bivariate Exponential Process (이변량 지수 공정 하에서 위험함수와 공정능력지수에 대한 통계적 추정)

  • Cho, Joong-Jae;Kang, Su-Mook;Park, Byoung-Sun
    • Communications for Statistical Applications and Methods
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    • v.16 no.3
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    • pp.449-461
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    • 2009
  • Higher sigma quality level is generally perceived by customers as improved performance by assigning a correspondingly higher satisfaction score. The process capability indices and the sigma level $Z_{st}$ ave been widely used in six sigma industries to assess process performance. Most evaluations on process capability indices focus on statistical estimation under normal process which may result in unreliable assessments of process performance. In this paper, we consider statistical estimation for bivariate VPCI(Vector-valued Process Capability Index) $C_{pkl}=(C_{pklx},\;C_{pklx})$ under Marshall and Olkin (1967)'s bivariate exponential process. First, we derive some limiting distribution for statistical inference of bivariate VPCI $C_{pkl}$. And we propose two asymptotic normal confidence regions for bivariate VPCI $C_{pkl}$. The proposed method may be very useful under bivariate exponential process. A numerical result based on our proposed method shows to be more reliable.

The Assessing Comparative Study for Statistical Process Control of Software Reliability Model Based on Rayleigh and Burr Type (Rayleigh형과 Burr형 NHPP 소프트웨어 신뢰모형에 관한 통계적 공정관리 접근방법 비교연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.10 no.2
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    • pp.1-11
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    • 2014
  • Software reliability in the software development process is an important issue. Software process improvement helps in finishing with reliable software product. In this field, SPC (Statistical process control) is a method of process management through application of statistical analysis, which involves and includes the defining, measuring, controlling, and improving of the processes. The proposed process involves evaluation of the parameter of the mean value function and hence the values of the mean value function at various inter failure times to develop relevant time control chart. In this paper, was proposed a control mechanism, based on time between failures observations using Rayleigh and Burr distribution property, which is based on Non Homogeneous Poisson Process (NHPP). In this study, the proposed model is reliable in terms of hazard function, because it is more efficient in this area can be used as an alternative to the existing model. Through this study, software developers are considered by the various intended functions, prior knowledge of the software to identify failure modes to feed to some extent shall be able to help.

Block Bootstrapped Empirical Process for Dependent Sequences

  • Kim, Tae-Yoon
    • Journal of the Korean Statistical Society
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    • v.28 no.2
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    • pp.253-264
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    • 1999
  • Conditinal weakly convergence of the blockwise bootstrapped empirical process for stationary sequences to the appropriate Gaussian process is reestablished particularly for severely dependent $\alpha$-mixing sequences. Issue of block size is discussed from the point of validity of bootstrap method.

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A STATISTICS INTERPOLATION METHOD: LINEAR PREDICTION IN A STOCK PRICE PROCESS

  • Choi, U-Jin
    • Journal of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.657-667
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    • 2001
  • We propose a statistical interpolation approximate solution for a nonlinear stochastic integral equation of a stock price process. The proposed method has the order O(h$^2$) of local error under the weaker conditions of $\mu$ and $\sigma$ than those of Milstein' scheme.

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