• 제목/요약/키워드: Hierarchical distribution

검색결과 377건 처리시간 0.022초

Bayesian Hierarchical Model with Skewed Elliptical Distribution

  • 정윤식
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2000년도 추계학술발표회 논문집
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    • pp.5-12
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    • 2000
  • Meta-analysis refers to quantitative methods for combining results from independent studies in order to draw overall conclusions. We consider hierarchical models including selection models under a skewed heavy tailed error distribution and it is shown to be useful in such Bayesian meta-analysis. A general class of skewed elliptical distribution is reviewed and developed. These rich class of models combine the information of independent studies, allowing investigation of variability both between and within studies, and weight function. Here we investigate sensitivity of results to unobserved studies by considering a hierarchical selection model and use Markov chain Monte Carlo methods to develop inference for the parameters of interest.

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Symbolic Cluster Analysis for Distribution Valued Dissimilarity

  • Matsui, Yusuke;Minami, Hiroyuki;Misuta, Masahiro
    • Communications for Statistical Applications and Methods
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    • 제21권3호
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    • pp.225-234
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    • 2014
  • We propose a novel hierarchical clustering for distribution valued dissimilarities. Analysis of large and complex data has attracted significant interest. Symbolic Data Analysis (SDA) was proposed by Diday in 1980's, which provides a new framework for statistical analysis. In SDA, we analyze an object with internal variation, including an interval, a histogram and a distribution, called a symbolic object. In the study, we focus on a cluster analysis for distribution valued dissimilarities, one of the symbolic objects. A hierarchical clustering has two steps in general: find out step and update step. In the find out step, we find the nearest pair of clusters. We extend it for distribution valued dissimilarities, introducing a measure on their order relations. In the update step, dissimilarities between clusters are redefined by mixture of distributions with a mixing ratio. We show an actual example of the proposed method and a simulation study.

Hierarchical Structure of Star-Forming Regions in the Local Group

  • Kang, Yongbeom;Bianchi, Luciana;Kyeong, Jaeman;Jeong, Hyunjin
    • 천문학회보
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    • 제39권2호
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    • pp.60.2-60.2
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    • 2014
  • Hierarchical structure of star-forming regions is widespread and may be characteristic of all star formation. We studied the hierarchical structure of star-forming regions in the Local Group galaxies (M31, M33, Phoenix, Pegasus, Sextans A, Sextans B, WLM). The star-forming regions were selected from Galaxy Evolution Explorer (GALEX) far-UV imaging in various detection thresholds for investigating hierarchical structure. We examined the spatial distribution of the hot massive stars within star-forming regions from Hubble Space Telescope (HST) multi-band photometry. Small compact groups arranged within large complexes. The cumulative mass distribution follows a power law. The results allow us to understand the hierarchical structure of star formation and recent evolution of the Local Group galaxies.

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양쪽중단된 지수분포의 모수와 신뢰도에 대한 계층적 베이즈추정 (Hierarchical Bayes Estimation of Parameter and Reliability Function in Doubly Censored Exponential Distribution)

  • 조장식;강상길
    • 응용통계연구
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    • 제12권2호
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    • pp.405-414
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    • 1999
  • 양쪽중단(doubly censored)된 지수분포에서 모수와 신뢰도함수를 계층적 베이지안(hierarchical Bayesian)방법을 이용하여 추정하였다. 베이즈 계산은 깁스표본기법(Gibbs sampler)을 이용하고 또한 완전조건부 분포(full conditional distribution)의 정량화 상수를 모르는 경우에는 적합기각방법(adaptive rejection sampling)을 이용하였다. 그리고 실제자료를 이용하여 분석을 하였다.

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이산 웨이블릿 변환을 이용한 지문의 계층적 분류 (Hierarchical classification of Fingerprints using Discrete Wavelet Transform)

  • 권용호;이정문
    • 산업기술연구
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    • 제19권
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    • pp.403-408
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    • 1999
  • An efficient method is developed for classifying fingerprint data based on 2-D discrete wavelet transform. Fingerprint data is first converted to a binary image. Then a multi-level 2-D wavelet transform is performed. Vertical and horizontal subbands of the transformed data show typical energy distribution patterns relevant to the fingerprint categories. The proposed method with moderate level of wavelet transform is successful in classifying fingerprints into 5 different types. Finer classification is possible by higher frequency subbands and closer analysis of energy distribution.

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증강현실에서 사실적인 그림자 생성을 위한 조명 분포 모델의 계층적 분할 (Hierarchical Subdivision of Light Distribution Model for Realistic Shadow Generation in Augmented Reality)

  • 김익수;임창경;홍현기
    • 방송공학회논문지
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    • 제21권1호
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    • pp.24-35
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    • 2016
  • 증강현실에서 주변 환경의 조명 분포를 추정하여 자연스러운 그림자 영상을 생성할 수 있다. 그러나 별도의 센서 장비 없이 주변 환경을 해석하는 과정에는 조명 분포의 모델, 가상 객체의 기하정보, 표면의 반사특성 등이 필요하다. 3D 마커를 이용하는 기존의 조명분포 추정 방법은 조명 공간을 지오데식 돔(geodesic dome)으로 모델링하고 마커에 의한 그림자 이미지를 분석한다. 그러나 사전에 설정 된 후보 그림자 맵을 이용하기 때문에 실제 조명의 분포를 정확하게 추정하지 못할 수 있다. 본 논문에서는 증강현실에서 주변 환경의 광원 정보를 정확하게 추정하기 위해 조명 공간을 계층적으로 분할하는 방법이 제안된다. 제안된 방법은 그래디언트 레이(gradient ray)를 이용해 분할된 그림자 영역과 후보 그림자 맵 간의 상대적 중첩 영역 비(ratio)에 따라 지오데식 돔을 계층적으로 분할한다.

Posterior Inference in Single-Index Models

  • Park, Chun-Gun;Yang, Wan-Yeon;Kim, Yeong-Hwa
    • Communications for Statistical Applications and Methods
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    • 제11권1호
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    • pp.161-168
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    • 2004
  • A single-index model is useful in fields which employ multidimensional regression models. Many methods have been developed in parametric and nonparametric approaches. In this paper, posterior inference is considered and a wavelet series is thought of as a function approximated to a true function in the single-index model. The posterior inference needs a prior distribution for each parameter estimated. A prior distribution of each coefficient of the wavelet series is proposed as a hierarchical distribution. A direction $\beta$ is assumed with a unit vector and affects estimate of the true function. Because of the constraint of the direction, a transformation, a spherical polar coordinate $\theta$, of the direction is required. Since the posterior distribution of the direction is unknown, we apply a Metropolis-Hastings algorithm to generate random samples of the direction. Through a Monte Carlo simulation we investigate estimates of the true function and the direction.

BAYESIAN HIERARCHICAL MODEL WITH SKEWED ELLIPTICAL DISTRIBUTION

  • Chung, Youn-Shik;Dipak K. Dey;Yang, Tae-Young;Jang, Jung-Hoon
    • Journal of the Korean Statistical Society
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    • 제32권4호
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    • pp.425-448
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    • 2003
  • Meta-analysis refers to quantitative methods for combining results from independent studies in order to draw overall conclusions. We consider hierarchical models including selection models under a skewed heavy tailed error distribution proposed originally by Chen et al. (1999) and Branco and Dey (2001). These rich classes of models combine the information of independent studies, allowing investigation of variability both between and within studies, and incorporate weight function. Here, the testing for the skewness parameter is discussed. The score test statistic for such a test can be shown to be expressed as the posterior expectations. Also, we consider the detail computational scheme under skewed normal and skewed Student-t distribution using MCMC method. Finally, we introduce one example from Johnson (1993)'s real data and apply our proposed methodology. We investigate sensitivity of our results under different skewed errors and under different prior distributions.

계층구조적 분류모델을 이용한 심전도에서의 비정상 비트 검출 (Detection of Abnormal Heartbeat using Hierarchical Qassification in ECG)

  • 이도훈;조백환;박관수;송수화;이종실;지영준;김인영;김선일
    • 대한의용생체공학회:의공학회지
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    • 제29권6호
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    • pp.466-476
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    • 2008
  • The more people use ambulatory electrocardiogram(ECG) for arrhythmia detection, the more researchers report the automatic classification algorithms. Most of the previous studies don't consider the un-balanced data distribution. Even in patients, there are much more normal beats than abnormal beats among the data from 24 hours. To solve this problem, the hierarchical classification using 21 features was adopted for arrhythmia abnormal beat detection. The features include R-R intervals and data to describe the morphology of the wave. To validate the algorithm, 44 non-pacemaker recordings from physionet were used. The hierarchical classification model with 2 stages on domain knowledge was constructed. Using our suggested method, we could improve the performance in abnormal beat classification from the conventional multi-class classification method. In conclusion, the domain knowledge based hierarchical classification is useful to the ECG beat classification with unbalanced data distribution.

계층적 분류방식에 의한 인영 검증 (A Hierarchical Classification Method for Verification of Seal Imprint)

  • 김진희;심재창;현기호;하영호
    • 전자공학회논문지B
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    • 제28B권11호
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    • pp.904-912
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    • 1991
  • Automatic recognition of seal imprint has been required in the oriental countries. In this paper, a hierarchical approach for seal imprint verification is presented. Global features are used for seal imprint description in the first step. In the second step, conventional and several proposed local features are used to detect useful informations such as size, distribution and relative position of stroke length from seal imprint. In the last step, seal imprints are classified into one of three categories 'accept', 'ambiguous' and reject', based on the hierarchical classification. Experimental results show good performance on classification and recognition.

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