• 응용통계연구
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• 제22권5호
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• pp.1097-1102
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• 2009

Classification of subjects with unknown distribution in small sample size setup may involve order-restricted constraints in multivariate parameter setups. Those problems makes optimality of conventional likelihood ratio based statistical inferences not feasible. Fortunately, Roy (1953) introduced union-intersection principle(UIP) which provides an alternative avenue. Redescending M-estimator along with that principle yields a considerably appropriate robust testing procedure. Furthermore, conditionally distribution-free test based upon exact permutation theory is used to generate p-values, even in small sample. Applications of this method are illustrated in simulated data and read data example (Lobenhofer et al., 2002)

• Journal of applied mathematics & informatics
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• 제13권1_2호
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• pp.457-470
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• 2003

The comparison of two or more Lorenz curves of Pareto distributions of first kind under arbitrary order restriction is studied. The problem is turned out to be a statistical inference problem concerning scale parameters under order restriction. We assume that the location parameters of Palate distributions are completely unknown. In this paper the maximum likelihood estimation and likelihood ratio tests for and against order restriction are proposed.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2003년도 춘계 학술발표회 논문집
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• pp.109-114
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• 2003

The concept of dispersion is intrinsic to the theory and practice of statistics. A formulation of the concept of dispersion can be obtained by comparing the probability of intervals centered about a location parameter, which is peakedness ordering introduced first by Birnbaum (1948). We consider statistical inference concerning peakedness ordering between two arbitrary distributions. We propose nonparametric maximum likelihood estimator of two distributions under peakedness ordering and a likelihood ratio test for equality of dispersion in the sense of peakedness ordering.

• Journal of the Korean Statistical Society
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• 제33권3호
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• pp.303-312
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• 2004

The concept of dispersion is intrinsic to the theory and practice of statistics. A formulation of the concept of dispersion can be obtained by comparing the probability of intervals centered about a location parameter. This is the peakedness ordering introduced first by Birnbaum (1948). We consider statistical inference concerning peakedness ordering between two arbitrary distributions. We propose non parametric maximum likelihood estimators of two distributions under peakedness ordering and a likelihood ratio test for equality of dispersion in the sense of peakedness ordering.

• Journal of the Korean Statistical Society
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• 제36권3호
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• pp.335-347
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• 2007

Two new types of positive biasedness, which are closely related to Type III positive biasedness (Yanagimoto and Sibuya, 1972), are proposed. We call these near Type III positive biasedness. Though no implication between Type II and near Type III biasedness exists, near Type III seems to be less restrictive than Type II biasedness. Constrained maximum likelihood estimates of distribution functions under near Type III positive bisedness are obtained. The likelihood ratio tests of symmetry against new positive biasedness restrictions are proposed. A small simulation study is conducted to compare the performance of the tests.

• Communications for Statistical Applications and Methods
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• 제25권5호
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• pp.559-568
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• 2018

Gene classification can involve complex order-restricted inference. Examining gene expression pattern across groups with order-restriction makes standard statistical inference ineffective and thus, requires different methods. For this problem, Roy's union-intersection principle has some merit. The M-estimator adjusting for outlier arrays in a microarray study produces a robust test statistic with distribution-insensitive clustering of genes. The M-estimator in conjunction with a union-intersection principle provides a nonstandard robust procedure. By exact permutation distribution theory, a conditionally distribution-free test based on the proposed test statistic generates corresponding p-values in a small sample size setup. We apply a false discovery rate (FDR) as a multiple testing procedure to p-values in simulated data and real microarray data. FDR procedure for proposed test statistics controls the FDR at all levels of ${\alpha}$ and ${\pi}_0$ (the proportion of true null); however, the FDR procedure for test statistics based upon normal theory (ANOVA) fails to control FDR.

• Communications for Statistical Applications and Methods
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• 제15권1호
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• pp.13-26
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• 2008

Inference on the present data will be more reliable when the data arising from previous similar studies are available. The data arising from previous studies are referred as historical data. The power prior is defined by the likelihood function based on the historical data to the power $a_0$, where $0\;{\le}\;a_0\;{\le}\;1$. The power prior is a useful informative prior for Bayesian inference such as model selection and model comparison. We utilize the historical data to perform multiple comparison in the one-way ANOVA model. We demonstrate our results with some simulated datasets under a simple order restriction between the treatments.

• 응용통계연구
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• 제31권3호
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• pp.409-416
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• 2018

재무 분야에서는 주식 시장에서 투자자들의 행동형태에 대해 많은 연구가 있었다. 본 연구에서는 주식 투자자들의 주식에 대한 관심 정도가 주식의 수익률에 영향을 미치는 효과를 나타내는 관심효과(attention effect)를 실제 자료분석을 통해 검증하고자 한다. 이러한 효과를 실증적인 자료분석으로부터 검증하기는 쉽지 않았는데, 그 이유는 관심정도를 객관화하여 측정하는 것이 어려운 문제였기 때문이다. 그런데, Da 등 (2011)는 구글 검색창에서의 검색빈도로 관심정도를 측정하고, 이를 바탕으로 미국 주식시장에서의 관심효과를 검증하였다. 본 논문에서는 다음커뮤니케이션이 운영하는 주식 채틱방에서 주식종목에 대한 언급횟수에 대한 순위를 통해 관심정도를 측정하고, 언급횟수에 대한 순위가 높을수록 주식의 수익률이 높아졌다고 할 수 있는지 한국 주식시장에서의 관심효과를 검증하고자 하였다. 이를 위해, 관심효과를 순서제약이 있는 가설로 표현하고, 이에 대한 가능도비 검정절차를 제안하였으며 실제 데이터에 적용해 보았다.

• Communications for Statistical Applications and Methods
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• 제4권1호
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• pp.185-191
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• 1997

Bayesian estimation of multinomial and Poisson parameters under starshped restriction is considered. Most Bayesian estimations in order restricted statistical inference require the high-dimensional integration which is very difficult to evaluate. Monte Carlo integration and Gibbs sampling are among alternative methods. The Bayesian estimation considered in this paper requires only evaluation of incomplete beta functions which are extensively tabulated.

• 한국컴퓨터정보학회논문지
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• 제3권3호
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• pp.55-61
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• 1998

CAI(Computer Aided Instruction)에서 학습의 데이터가 되는 교재의 학습 순서는쉬운 항목에서 어려운 항목의 순번으로 나열되어 있다. 학습자는 반드시 이 순서대로 학습하는 것은 아니다. 실제는 항목간의 전후를 시행착오 하면서 학습을 하고 있다. 본 논문에서는 지적 CAI(Intelligent CAI : ICAI) 학습으로 항목에 대한 이해도를 퍼지성의 시행착오로학습시켜 구조화된 학습을 퍼지 추론에 의해 모델화 한다. 방법으로는 각 항목간의 순서관계에 의해 학습과 이해의 차이를 고려하여 퍼지 추론 규칙에 의해 학습의 모델을 정식화했다. 추론 규칙을 간략화 하여 CAL 시스템의 처리로 시행착오의 학습을 제안한다.