• Title/Summary/Keyword: mean values

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Economic Selection of the Optimal Process Mean Using Sequential Inspection to Reduce the Effect of Measurement Errors (측정오차를 고려한 최적 공정평균의 경제적 설정 - 축차검사의 활용)

  • Park, Hwan-Su;Chang, Young-Soon
    • Journal of Korean Society for Quality Management
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    • v.34 no.2
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    • pp.12-21
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    • 2006
  • This paper considers the problem of selecting the most profitable process mean for production processes where measurement errors exist in inspection systems. For such situations, a sequential inspection procedure is proposed to reduce measurement errors. The decision to accept, reject, or take an additional inspection of an item is made at every measurement point until the number of repeated measurements reaches its upper bound. An expected profit model is constructed and the optimal process mean, the cut-off values, and the upper bound of the number of repeated measurements are obtained when accepted(rejected) items are sold at regular(reduced) price. A numerical study is performed to investigate the performance of the proposed procedure.

Ratio Cum Regression Estimator for Estimating a Population Mean with a Sub Sampling of Non Respondents

  • Kumar, Sunil
    • Communications for Statistical Applications and Methods
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    • v.19 no.5
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    • pp.663-671
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    • 2012
  • In the present study, a combined ratio cum regression estimator is proposed to estimate the population mean of the study variable in the presence of a non-response using an auxiliary variable under double sampling. The expressions of bias and mean squared error(MSE) based on the proposed estimator is derived under double (or two stage) sampling to the first degree of approximation. Some estimators are also derived from the proposed class by allocating the suitable values of constants used. A comparison of the proposed estimator with the usual unbiased estimator and other derived estimators is carried out. An empirical study is carried out to demonstrate the performance of the suggested estimator and of others; it is endow that the empirical results backing the theoretical study.

A Study on the Treatment of Missing Value using Grey Relational Grade and k-NN Approach

  • Chun, Young-Min;Chung, Sung-Suk
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.04a
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    • pp.55-62
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    • 2006
  • Huang proposed a grey-based nearest neighbor approach to predict accurately missing attribute value in 2004. Our study proposes which way to decide the number of nearest neighbors using not only the dong's grey relational grade but also the wen's grey relational grade. Besides, our study uses not an arithmetic(unweighted) mean but a weighted one. Also, GRG is used by a weighted value when we impute a missing values. There are four different methods - DU, DW, WU, WW. The performance of WW(wen's GRG & weighted mean) method is the best of my other methods. It had been proven by Huang that his method was much better than mean imputation method and multiple imputation method. The performance of our study is far superior to that of Huang.

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Development of Absolute Moment Block Truncation Coding Algorithm using Flexible Base Point(Mean of Block) (이동기준점을 이용한 AMBTC 알고리즘 개발)

  • Choi, Yong-Soo
    • Journal of The Institute of Information and Telecommunication Facilities Engineering
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    • v.10 no.2
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    • pp.80-85
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    • 2011
  • In this paper, I propose flexible base point used for a BTC(Block Truncation Coding). Halftoning images are used for printer by reducing the number of pixel depth. During over 20 years, many researches have been studied to apply this techniques to image compression. BTC algorithms are the compression methods using digital halftoning technique about images. In the BTC algorithm, an image block is divided into higher and lower domain compared with the mean of block. then the MAX and MIN representative values are evaluated by calculating the mean of higher and lower domain respectively. At a result, an image block(for example 88 size) is compressed into 64bits pixel representation and 16 bits of the MAX and MIN. And they also have been tried to sustain the image quality high after compression. In this paper, I found that there is some marginal possibility to enhance the image quality by adjusting the base point(generally mean of block) of existing algorithms.

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Predictions of MLE and LSE in NHPP Software Reliability Model

  • Song, Kwang-Yoon;Chang, In-Hong;Lee, Seung-Woo
    • Journal of Integrative Natural Science
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    • v.6 no.2
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    • pp.111-117
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    • 2013
  • We propose a mean value function for software failures in NHPP software reliability model. And we deal with the maximum likelihood estimation and the least squares estimation in the proposed mean value function. The explicit mean value function solution for the proposed model is presented by MLE and LSE in two data sets. The values of SSE and MSE is presented in two data sets by MLE and LSE. We compare the predicted number of faults with the actual two data sets using the proposed mean value function.

ADHESION STUDIES OF MAGNETRON-SPUTTERED COPPER FILMS ON INCONEL SUBSTRATES

  • Lee, G.H.;Kwon, S.C.;Lee, S.Y.
    • Journal of the Korean institute of surface engineering
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    • v.32 no.3
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    • pp.410-415
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    • 1999
  • The adhesion strength of sputtered copper films to Inconel substrates has been studied using the scratch test. The effects of substrate treatments before deposition such as chemical or ion bombardment etching were investigated by means of a mean critical load derived from a Weibull-like statistical analysis. It was found that the mean critical load was very weak unless the amorphous layer produced by mechanical polishing on the substrate surface was eliminated. Chemical etching in a nitric-hydrochloric acid bath was shown to have practically no effect on the enhancement of the adhesion. In contrast, the addition in this bath of nickel and copper sulphates allowed removal of the amorphous layer and an increase in the values of the mean critical load. However, it was observed that excessive chemical etching could cancel out the mean critical load enhancement. The results obtained in the case of ion bombardment etching pretreatments could be far higher than those obtained with chemical etching. Moreover, for a sufficiently long period of ion bombardment etching, the adhesion strength was so high that it was impossible to observe evidence of an adhesion failure.

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Average Mean Square Error of Prediction for a Multiple Functional Relationship Model

  • Yum, Bong-Jin
    • Journal of the Korean Statistical Society
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    • v.13 no.2
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    • pp.107-113
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    • 1984
  • In a linear regression model the idependent variables are frequently subject to measurement errors. For this case, the problem of estimating unknown parameters has been extensively discussed in the literature while very few has been concerned with the effect of measurement errors on prediction. This paper investigates the behavior of the predicted values of the dependent variable in terms of the average mean square error of prediction (AMSEP). AMSEP may be used as a criterion for selecting an appropriate estimation method, for designing an estimation experiment, and for developing cost-effective future sampling schemes.

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Testing Whether Failure Rate Changes its Trend Using Censored Data

  • Jeong, Hai-Sung;Na, Myung-Hwan;Kim, Jae-Joo
    • International Journal of Reliability and Applications
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    • v.1 no.2
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    • pp.115-121
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    • 2000
  • The trend change in aging properties, such as failure rate and mean residual life, of a life distribution is important to engineers and reliability analysts. In this paper we develop a test statistic for testing whether or not the failure rate changes its trend using censored data. The asymptotic normality of the test statistics is established. We discuss the efficiency values of loss due to censoring.

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Strong Consistent Estimator for the Expectation of Fuzzy Stochastic Model

  • Kim, Yun-Kyong
    • International Journal of Reliability and Applications
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    • v.1 no.2
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    • pp.123-131
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    • 2000
  • This paper concerns with the consistent estimator for the fuzzy expectation of a random variable taking values in the space F($R^p$) of upper semicontinuous convex fuzzy subsets of $R^p$ with compact support. We introduce the concept of a fuzzy sample mean and show that the fuzzy sample mean is a strong consistent estimator for the fuzzy expectation. Some examples are given to illustrate the main result.

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Laplace's Method for General Integrals with Applications to Statistical Mechanics

  • Park, Nae-Hyun;Jeon, Jong-Woo
    • Journal of the Korean Statistical Society
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    • v.14 no.2
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    • pp.87-94
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    • 1985
  • This paper extends the results of Ellis and Rosen (1982 a) to some more general integrals and applies our main theorem to compute the specific free energy of some models in statistical mechanics. The general integrals of this paper mean the integrals with respect to the probability measures induced by the sample mean of n i.i.d. random variables taking values in a separable Banach space.

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