• Title/Summary/Keyword: mean-variance model

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Determination of Optimum Process Mean and Screening Limits under a Taguchi's Loss Function (다구찌 손실함수 하에서 최적 공정평균 및 스크리닝 한계선의 결정)

  • Hong, Sung-Hoon
    • Journal of Korean Society for Quality Management
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    • v.28 no.2
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    • pp.161-175
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    • 2000
  • The problem of jointly determining the optimum process mem and screening limits for each market is considered in situations where there are several markets with different price/cost structures. Two inspection procedures are considered; an inspection based on the quality characteristic of interest, and an inspection based on a surrogate variable which is highly correlated with the quality characteristic. The quality characteristic is assumed to be a normal distribution with unknown mean and known variance. A Taguchi's quadratic loss function is utilized for developing the economic model for determining the optimum process mean and screening limits. A numerical example is given.

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Optimal Fuzzy Filter for Nonlinear Systems with Variance Constraints (분산 제약을 갖는 비선형 시스템의 최적 퍼지 필터)

  • Noh, Sun-Young;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.5
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    • pp.549-554
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    • 2012
  • In this paper, we consider the optimal fuzzy filter of nonlinear discrete-time with estimation error variance constraint. First, the Takagi and Sugeno(T-S) fuzzy model is employed to approximate the nonlinear system. Next, the error state is mean square bounded, and the steady state variance of the estimation error of each state is not more than the individual predefined value. It is shown that, the addressed problem can be carried out by solving linear matrix inequality(LMI) and some algebraic quadratic matrix inequalities. Finally, some examples are provided to illustrate the design procedure and expected performance through simulations.

Determinants of student course evaluation using hierarchical linear model (위계적 선형모형을 이용한 강의평가 결정요인 분석)

  • Cho, Jang Sik
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1285-1296
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    • 2013
  • The fundamental concerns of this paper are to analyze the effects of student course evaluation using subject characteristic and student characteristic variables. We use a 2-level hierarchical linear model since the data structure of subject characteristic and student characteristic variables is multilevel. Four models we consider are as follows; (1) null model, (2) random coefficient model, (3) mean as outcomes model, (4) intercepts and slopes as outcomes model. The results of the analysis were given as follows. First, the result of null model was that subject characteristics effects on course evaluation had much larger than student characteristics. Second, the result of conditional model specifying subject and student level predictors revealed that class size, grade, tenure, mean GPA of the class, native class for level-1, and sex, department category, admission method, mean GPA of the student for level-2 had statistically significant effects on course evaluation. The explained variance was 13% in subject level, 13% in student level.

Variable Selection Theorem for the Analysis of Covariance Model (공분산분석 모형에서의 변수선택 정리)

  • Yoon, Sang-Hoo;Park, Jeong-Soo
    • Communications for Statistical Applications and Methods
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    • v.15 no.3
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    • pp.333-342
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    • 2008
  • Variable selection theorem in the linear regression model is extended to the analysis of covariance model. When some of regression variables are omitted from the model, it reduces the variance of the estimators but introduces bias. Thus an appropriate balance between a biased model and one with large variances is recommended.

Weight Vector Analysis to Portfolio Performance with Diversification Constraints (비중 상한 제약조건에 따른 포트폴리오 성과에 대한 투자 비중 분석)

  • Park, Kyungchan;Kim, Hongseon;Kim, Seongmoon
    • Korean Management Science Review
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    • v.33 no.4
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    • pp.51-64
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    • 2016
  • The maximum weight of single stock in mutual fund is limited by regulations to enforce diversification. Under incomplete information with added constraints on portfolio weights, enhanced performance had been reported in previous researches. We analyze a weight vector to examine the effects of additional constraints on the portfolio's performance by computing the Euclidean distance from the in-sample tangency portfolio, as opposed to previous researches which analyzed ex-post return only. Empirical experiment was performed on Mean-variance and Minimum-variance model with Fama French's 30 industry portfolio and 10 industry portfolio for the last 1,000 months from August 1932 to November 2015. We find that diversification-constrained portfolios have 7% to 26% smaller Euclidean distances with the benchmark portfolio compared to those of unconstrained portfolios and 3% to 11% greater Sharpe Ratio.

Application of Variance Reduction Techniques in Designed Simulation Experiments (시뮬레이션 실험설계에서 분산감소기법의 응용)

  • 권치명
    • Journal of the Korea Society for Simulation
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    • v.4 no.1
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    • pp.25-36
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    • 1995
  • We develop a variance reduction technique in one simulation experiment whose purpose is to estimate the parameters of a first-order linear model. This method utilizes the control variates obtained during the course of simulation run under Schruben and Margolin's method (S-M method). The performance of this method is shown to be similar in estimating the main effects, and to be superior to S-M method in estimating the overall mean response in the hospital simulation experiment. For the general case, we consider that a proposed method may yield a better result than S-M method if selected control variates are highly correlated with the response at each design point.

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Change-point Estimators Using Rank Average in Location Change Model

  • Kim, Jeahee;Jang, Heeyoon
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.467-478
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    • 1999
  • This paper deals with the problem of change-point estimation where there is one level change in location with iid errors. A change-point estimator using rank average is proposed with the proof of its consistency. A comparison study of various change-point estimators is done by simulation on the mean the proportion and the variance when the errors are from the normal and the double exponential distributions.

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A Variable Size Block Matching Algorithm Using Local Characteristics of Images (영상의 국부적 성질을 이용한 가변 크기 블록 정합 알고리즘)

  • 김진태;최종수;박래홍
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.7
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    • pp.62-69
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    • 1992
  • The conventional BMA is performed with the fixed block size. For better performance at low bitrate, the block size is required to be large in relatively stationary area, while small in moving area. Thus, in this paper, a video coding technique using variable block size model is proposed. It decides the block size based on the degree of local motion defined by the local mean and variance of blocks. Computer simulation shows that the proposed method gives comparable performance to the conventional one with less bits required for motion vector coding.

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Optimal Var allocation in System planning by Stochastic Linear Programming(II) (확률선형 계획법에 의한 최적 Var 배분 계뵉에 관한 연구(II))

  • Song, Kil-Yeong;Lee, Hee-Yoeng
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.191-193
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    • 1989
  • This paper presents a optimal Var allocation algorithm for minimizing power loss and improving voltage profile in a given system. In this paper, nodal input data is considered as Gaussian distribution with their mean value and their variance. A stochastic Linear Programming technique based on chance constrained method is applied to solve the probabilistic constraint. The test result in IEEE-14 Bus model system showes that the voltage distribution of load buses is improved and the power loss is more reduced than before Var allocation.

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A Graphical Method for Evaluating Mixture Designs with respect to the Slope

  • Jang, Dae-Heung;Na, Ho-Jun
    • Journal of Korean Society for Quality Management
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    • v.23 no.2
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    • pp.68-79
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    • 1995
  • Good estimation of the slopes of the mixture response function may be important as well as estimation of mean mixture response. It is possible to evaluate and compare several mixture designs with respect to the slope. A graphical method is proposed that allows us to evaluate a given design's support for the fitted model in terms of slope variance. We can plot variances of slopes along Cox direction according to existence of restriction of simplex region when comparing several different mixture designs.

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