• Title/Summary/Keyword: 다봉형

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Modeling sharply peaked asymmetric multi-modal circular data using wrapped Laplace mixture (겹친라플라스 혼합분포를 통한 첨 다봉형 비대칭 원형자료의 모형화)

  • Na, Jong-Hwa;Jang, Young-Mi
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.863-871
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    • 2010
  • Until now, many studies related circular data are carried out, but the focuses are mainly on mildly peaked symmetric or asymmetric cases. In this paper we studied a modeling process for sharply peaked asymmetric circular data. By using wrapped Laplace, which was firstly introduced by Jammalamadaka and Kozbowski (2003), and its mixture distributions, we considered the model fitting problem of multi-modal circular data as well as unimodal one. In particular we suggested EM algorithm to find ML estimates of the mixture of wrapped Laplace distributions. Simulation results showed that the suggested EM algorithm is very accurate and useful.

Modeling on asymmetric circular data using wrapped skew-normal mixture (겹친왜정규혼합분포를 이용한 비대칭 원형자료의 모형화)

  • Na, Jong-Hwa;Jang, Young-Mi
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.241-250
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    • 2010
  • Over the past few decades, several studies have been made on the modeling of circular data. But these studies focused mainly on the symmetrical cases including von Mises distribution. Recently, many studies with skew-normal distribution have been conducted in the linear case. In this paper, we dealt the problem of fitting of non-symmetrical circular data with wrapped skew-normal distribution which can be derived by using the principle of wrapping. Wrapped skew-normal distribution is very flexible to asymmetical data as well as to symmetrical data. Multi-modal data are also fitted by using the mixture of wrapped skew-normal distributions. To estimate the parameters of mixture, we suggested the EM algorithm. Finally we verified the accuracy of the suggested algorithm through simulation studies. Application with real data is also considered.

The Types and Characteristics of Natural Scenery in Landscape Painting during Joseon Dynasty (조선시대 산수화에 그려진 자연풍경의 유형구분과 특성)

  • Park, Chan Woo;Lee, Yeon Hee;Kim, Jae Jun
    • Journal of Korean Society of Forest Science
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    • v.103 no.4
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    • pp.687-695
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    • 2014
  • The purpose of this study is to identify landscape paintings of our ancestors in types and characteristics of beautiful natural scenery. In this study, 629 landscape paintings targeted natural scenery of the Joseon Dynasty period are used and classified into types of natural scenery by main target of paintings. As the results of this study, landscape paintings are classified into mountain, river, sea, city by place drawing painting. The paintings drawn in mountain are classified into a few mountain peaks, many mountain peaks, one mountain peak, curious rock of mountain, valley and waterfall. The paintings drawn in river are classified into river and mountain, river water, scenery of riverside and curious rock of river. The paintings drawn in sea are classified into scenery of seaside and curious rock of sea. And the paintings drawn in city are classified into panoramic view of the town. The type of natural scenery in landscape paintings can be summarized in 3, scenery of mountain peaks, scenery of curious rock peaks and waterspace when combine place drawing painting.