• Title/Summary/Keyword: 표본분산

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Multiple PCA Module Face Pose Estimation (다중 PCA모듈을 이용한 얼굴포즈 판별)

  • 고재필;김선욱;변혜란
    • Proceedings of the Korean Information Science Society Conference
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    • 2000.10b
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    • pp.431-433
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    • 2000
  • 본 논문에서는 얼굴인식에 주로 사용되는 PCA를 얼굴포즈판별로 적용해 보았다. 얼굴포즈판별은 개개인의 얼굴특징을 강조해야 하는 얼굴인식과는 달리 일반적인 얼굴특징을 이용하기 때문에 PCA에 적합한 응용분야이다. 그러나, 다양한 얼굴포즈에 대한 영상을 하나의 표본집합으로 사용하면, 표본집합의 분산이 크기 때문에 포즈별로 표본집합을 달리하여 PCA모듈을 구성하는 것이 타당하다. 표본수집의 어려움은 3차원 한국인 표준모형을 이용해 극복하고, 이를 통하여 다양한 조명방향 및 얼굴포즈에 대한 표본을 수집하였다. 5방향의 얼굴포즈에 대한 판별 실험을 통하여 모율화된 PCA의 분류기로서의 가능성을 살펴보고, 조명에 따른 오류를 완하하고자 비 선형적 패턴을 나타내는 각 PCA모듈의 결과를 신경망에 적용하여 보았다.

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Mean Estimation in Two-phase Sampling (이중추출에서 모평균 추정)

  • 김규성;김진석;이선순
    • The Korean Journal of Applied Statistics
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    • v.14 no.1
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    • pp.13-24
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    • 2001
  • In this paper, we investigated mean estimation methods in two-phase sampling. Under the fixed expected cost we reviewed the optimal sample sizes, minimum variances and approximate unbiased variance estimators for usual ratio estimator, stratified sample mean with proportional allocation and Rao's allocation of the second phase sample. Also we proposed combined ratio estimator, which uses both ratio estimation and stratification and derived optimal sample size, minimum variance and unbiased variance estimator. Through a limited simulation study, we compared estimators by design effects and came to know that ratio estimator is more efficient than stratified sample mean in some cases and inefficient in the other cases, but combined ratio estimator is more efficient than others in most cases.

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General Regression Estimators in Survey Sampling (표본조사에서 일반회귀 추정량의 활용)

  • Kim, Kyu-Seong
    • Survey Research
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    • v.5 no.2
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    • pp.49-70
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    • 2004
  • This paper is a broad review about general regression estimators, which are very useful when auxiliary variables are available in survey sampling. We investigate the process of development of general regression estimators from birth to suggestion of variance estimation method and examine some properties of general regression estimators by comparing with calibration and QR estimators. We also present some forms of general regression estimators available under complex sampling designs such as stratified sampling and cluster sampling. Finally, we comment some advantages as well as disadvantages of general regression estimators and theoretical and practical development in the future.

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ESTIMATION OF RELIABILITY IN A MULTICOMPONENT STRESS-STRENGTH MODEL IN WEIBULL CASE

  • Kim, Jae J.;Kang, Eun M.
    • Journal of Korean Society for Quality Management
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    • v.9 no.1
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    • pp.3-11
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    • 1981
  • A stress-strength model is formulated for s of k systems consisting of identical components. We consider minimum variance unbiased (MVU) estimation of system reliability for data consisting of a random sample from the stress distribution and one from the strength distribution when the two distirubtions are Weibull with unknown scale parameters and same known shape parameter. The asymptotic distribution of MVU estimate of system reliability in the model is obtained by using the standard asymptotic properties of the maximum likelihood estimate of system reliability and establishing their equivalence. Uniformly most accurate unbiased confidence intervals are also obtained for system reliability. Empirical comparison of the two estimates for small samples is studies by Monte Carlo simulation.

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Minimum Variance Estimation for the Power Allocation in Stratified Sampling

  • Son, Chang-Gyun;Hong, Gi-Hak;Lee, Gi-Seong
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.11a
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    • pp.185-189
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    • 2002
  • 본 논문에서는 초 모집단 모형 하에서 HT 추정량의 분산의 하한에 관계된 층화추정량의 효율성에 대해 다루었다. 특별히 Dalenius-Hodges 층화와 표본배분방법 중 멱배분(power allocation)을 적용했을 때 최소분산 성질에 대해 살펴보았다.

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On a robust analysis of variance based on winsorization (윈저화를 이용한 로버스트 분산분석)

  • 성내경
    • The Korean Journal of Applied Statistics
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    • v.8 no.1
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    • pp.119-131
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    • 1995
  • Based on Monte-Carlo simulation results we propose a robust analysis of variance procedure by utilizing trimmed mean and Winsorized variance. We deal with mainly the one-way classification case. We evaluate the empirical distribution of a pseudo-F statistic based on symmetrically Winsorized sum of squares when the population is normally distributed.

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A Comparative Study of Covariance Matrix Estimators in High-Dimensional Data (고차원 데이터에서 공분산행렬의 추정에 대한 비교연구)

  • Lee, DongHyuk;Lee, Jae Won
    • The Korean Journal of Applied Statistics
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    • v.26 no.5
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    • pp.747-758
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    • 2013
  • The covariance matrix is important in multivariate statistical analysis and a sample covariance matrix is used as an estimator of the covariance matrix. High dimensional data has a larger dimension than the sample size; therefore, the sample covariance matrix may not be suitable since it is known to perform poorly and event not invertible. A number of covariance matrix estimators have been recently proposed with three different approaches of shrinkage, thresholding, and modified Cholesky decomposition. We compare the performance of these newly proposed estimators in various situations.

A Normality Test by Using the Simple Regression Analysis (단순(單純) 회귀분석(回歸分析)을 이용한 정규성검정(正規性檢定))

  • Lee, Chang-Ho;Han, Wang-Su
    • Journal of Korean Society for Quality Management
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    • v.13 no.1
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    • pp.77-83
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    • 1985
  • This paper deals with a normality test to determine whether the data are sampled from normal population or not. In this paper the property that the mean and variance are independently distributed only for the normal distribution is used as a basis for developing a new test using the simple regression analysis. Considering the redan and variance of a random sample as independent and dependent variables, if it has not the regression relationship we conclude that the data were sampled from the normal distribution. The Monte-Carlo power study shows that the new test using the simple regression analysis has good power property relative to 6 well-known test methods for 11 distributions.

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Error cause analysis of Pearson test statistics for k-population homogeneity test (k-모집단 동질성검정에서 피어슨검정의 오차성분 분석에 관한 연구)

  • Heo, Sunyeong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.815-824
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    • 2013
  • Traditional Pearson chi-squared test is not appropriate for the data collected by the complex sample design. When one uses the traditional Pearson chi-squared test to the complex sample categorical data, it may give wrong test results, and the error may occur not only due to the biased variance estimators but also due to the biased point estimators of cell proportions. In this study, the design based consistent Wald test statistics was derived for k-population homogeneity test, and the traditional Pearson chi-squared test statistics was partitioned into three parts according to the causes of error; the error due to the bias of variance estimator, the error due to the bias of cell proportion estimator, and the unseparated error due to the both bias of variance estimator and bias of cell proportion estimator. An analysis was conducted for empirical results of the relative size of each error component to the Pearson chi-squared test statistics. The second year data from the fourth Korean national health and nutrition examination survey (KNHANES, IV-2) was used for the analysis. The empirical results show that the relative size of error from the bias of variance estimator was relatively larger than the size of error from the bias of cell proportion estimator, but its degrees were different variable by variable.

Saddlepoint Approximation to the Distribution of General Statistic (일반적 통계량의 분포함수에 대한 안부점 근사)

  • 나종화
    • The Korean Journal of Applied Statistics
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    • v.11 no.2
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    • pp.287-302
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    • 1998
  • Saddlepoint approximation to the distribution function of sample mean(Daniels, 1987) is extended to the case of general statistic in this paper. The suggested approximation methods are applied to derive the approximations to the distributions of some statistics, including sample valiance and studentized mean. Some comparisons with other methods show that the suggested approximations are very accurate for moderate or small sample sizes. Even in extreme tail the accuracies are also maintained.

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