• 제목/요약/키워드: unbiasedness

검색결과 35건 처리시간 0.03초

Unbiasedness or Statistical Efficiency: Comparison between One-stage Tobit of MLE and Two-step Tobit of OLS

  • Park, Sun-Young
    • International Journal of Human Ecology
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    • 제4권2호
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    • pp.77-87
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    • 2003
  • This paper tried to construct statistical and econometric models on the basis of economic theory in order to discuss the issue of statistical efficiency and unbiasedness including the sample selection bias correcting problem. Comparative analytical tool were one stage Tobit of Maximum Likelihood estimation and Heckman's two-step Tobit of Ordinary Least Squares. The results showed that the adequacy of model for the analysis on demand and choice, we believe that there is no big difference in explanatory variables between the first selection model and the second linear probability model. Since the Lambda, the self- selectivity correction factor, in the Type II Tobit is not statistically significant, there is no self-selectivity in the Type II Tobit model, indicating that Type I Tobit model would give us better explanation in the demand for and choice which is less complicated statistical method rather than type II model.

Asymptotic Consistency of Least Squares Estimators in Fuzzy Regression Model

  • Yoon, Jin-Hee;Kim, Hae-Kyung;Choi, Seung-Hoe
    • Communications for Statistical Applications and Methods
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    • 제15권6호
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    • pp.799-813
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    • 2008
  • This paper deals with the properties of the fuzzy least squares estimators for fuzzy linear regression model. Especially fuzzy triangular input-output model including error term is proposed. The error term is considered as a fuzzy random variable. The asymptotic unbiasedness and the consistency of the estimators are proved using a suitable metric.

A Note on the Asymptotic Property of S2 in Linear Regression Model with Correlated Errors

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • 제10권1호
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    • pp.233-237
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    • 2003
  • An asymptotic property of the ordinary least squares estimator of the disturbance variance is considered in the regression model with correlated errors. It is shown that the convergence in probability of S$^2$ is equivalent to the asymptotic unbiasedness. Beyond the assumption on the design matrix or the variance-covariance matrix of disturbances error, the result is quite general and simplify the earlier results.

유한기억구조 스무딩 필터와 기존 필터와의 등가 관계 (A Finite Memory Structure Smoothing Filter and Its Equivalent Relationship with Existing Filters)

  • 김민희;김평수
    • 정보처리학회논문지:컴퓨터 및 통신 시스템
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    • 제10권2호
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    • pp.53-58
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    • 2021
  • 본 논문에서는 제어 입력이 있는 이산 시간 상태 공간 모델에 대한 유한기억구조(Finite Memory Structure, FMS) 스무딩 필터(Smoothing filter)를 개발한다. FMS 스무딩 필터는 가장 최근 윈도우의 유한 관측값과 제어 입력값만을 이용하여 비편향성 제약조건하에서 최소 분산 성능 지표의 최적화 문제를 직접 해결함으로써 얻어진다. FMS 스무딩 필터는 비편향성(Unbiasedness), 무진동성(Deadbeat) 및 시불변성(Time-invariance)과 같은 내재적으로 좋은 특성을 갖는다. 또한, 관측값과 추정값이 구해지는 시간 사이의 지연 길이에 따라 FMS 스무딩 필터는 기존의 FMS 필터들과 동등함을 보인다. 마지막으로, 컴퓨터 시뮬레이션을 통해 제안된 FMS 스무딩 필터의 내재적인 강인성(Robustness)을 검증하기 위해 일시적인 모델 불확실성을 가진 시스템에 FMS 스무딩 필터를 적용해본다. 시뮬레이션 결과를 통해 제안된 FMS 스무딩 필터가 기존의 FMS 필터와 칼만(Kalman) 필터보다 우수할 수 있음을 보여준다.

Receding Horizon Finite Memory Controls for Output Feedback Controls of Discrete-Time State Space Models

  • Han, Soo-Hee;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1896-1900
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    • 2003
  • In this paper, a new type of output feedback control, called a receding horizon finite memory control (RHFMC), is proposed for stochastic discrete-time state space systems. Constraints such as linearity and finite memory structure with respect to an input and an output, and unbiasedness from the optimal state feedback control are required in advance. The proposed RHFMC is chosen to minimize an optimal criterion with these constraints. The RHFMC is obtained in an explicit closed form using the output and input information on the recent time interval. It is shown that the RHFMC consists of a receding horizon control and an FIR filter. The stability of the RHFMC is investigated for stochastic systems.

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Minimum Variance FIR Smoother for Model-based Signals

  • Kwon, Bo-Kyu;Kwon, Wook-Hyun;Han, Soo-Hee
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.2516-2520
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    • 2005
  • In this paper, finite impulse response (FIR) smoothers are proposed for discrete-time systems. The proposed FIR smoother is designed under the constraints of linearity, unbiasedness, FIR structure, and independence of the initial state information. It is also obtained by directly minimizing the performance criterion with unbiased constraints. The approach to the MVF smoother proposed in this paper is logical and systematic, while existing results have heuristic assumption, such as infinite covariance of the initial state. Additionally, the proposed MVF smoother is based on the general system model that may have the singular system matrix and has both system and measurement noises. Thorough simulation studies, it is shown that the proposed MVF smoother is more robust against modeling uncertainties numerical errors than fixed-lag Kalman smoother which is infinite impulse response (IIR) type estimator.

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실험계획법에서 오차항의 가정 검토방안 (Assessment of Properties of Error Terms in Design of Experiment)

  • 최성운
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2012년 춘계학술대회
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    • pp.579-583
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    • 2012
  • The Design of Experiment (DOE) is a most practical technique when establishing an optimal condition for production technology in Six Sigma innovation project. This research proposes the assessment of properties of error terms, such as normality, equal variance, unbiasedness and independence. The properties of six nonparametric ranking techniques for checking normality assumption are discussed as well as run test which is used to identify the randomness, and to check unbiased assumption. Furthermore, Durbin-Watson (DW) statistics and ARIMA (p,d,q) process are discussed to identify the serial correlation.

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아시아 외환시장의 효율성 분석 (An Empirical Study on Asia Foreign Exchange Market Efficiency)

  • 장맹렬;송봉윤
    • 한국항만경제학회지
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    • 제19권2호
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    • pp.111-139
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    • 2003
  • In this paper, the unbiasedness hypothesis cannot be rejected for JPY. It means that Japanese forward exchange market is efficient. This implies that there would not be an unusual profit from speculation. However, the unbiasedness hypothesis can be rejected for THB, HKD, IDR. It means that Asian forward exchange market is inefficient. This implies that there would be an unusual profit from all available information. This suggests that forward exchange rates cannot be an unbiased estimator of future spot exchange rate. This result explains that the actual pricing for forward rate is not based on the international financial market's pricing mechanism of interest rate parity theory, but rather depends upon that simple market expectations and aspirations.

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표본의 대표성과 추정의 효율성 (Representative of Sample and Efficiency of Estimation)

  • 김규성
    • 한국조사연구학회지:조사연구
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    • 제6권1호
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    • pp.39-62
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    • 2005
  • 본 논문에서는 표본조사에서 흔히 말하여지는 ‘표본의 대표성’과 추정의 ‘일치성’, ‘비편향성’, ‘효율성’의 개념을 알아보았다. 표본의 대표성은 표집에 연관된 개념으로 조사모집단의 포함률 및 기초조사의 응답률, 표본섭외 과정의 승락률과 밀접한 관련이 있다. 그리고 추정의 일치성, 비편향성 및 효율성은 표집설계 및 추정량에 동시에 연관된 개념이다. 일치성 및 비편향성은 표본의 대표성을 전제로 한 개념인 반면, 효율성은 표본의 대표성을 전제로 하지 않는다. 표본의 대표성은 포함률, 응답률, 승낙률 등을 제고함으로써 높일 수 있다. 일치성은 관심변수의 일치성과 보조변수의 일치성으로 구분할 수 있으며, 잘 알려진 래킹비 가중법은 모집단 크기를 일치시키는 방법으로 보조변수의 일치성을 높이고자 하는 방법이다. 효율성은 표본의 대표성과는 직접적인 관련이 없으며, 층화표집에서 비례배정과 네이만 배정같은 표본배정, 그리고 사후층화 등은 모두 표본의 대표성이 만족된다는 전제 아래 추정의 효율성을 높이고자 하는 방법들이다.

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