• 제목/요약/키워드: Correlation-type random matrix

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A Note on Eigen Transformation of a Correlation-type Random Matrix

  • Kim, Kee-Young;Lee, Kwang-Jin
    • Journal of the Korean Statistical Society
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    • 제22권2호
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    • pp.339-345
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    • 1993
  • It is well known that distribution of functions of eigen values and vectors of a certain matrix plays an important role in multivariate analysis. This paper deals with the transformation of a correlation-type random matrix to its eigen values and vectors. Properties of the transformation are also considered. The results obtained are applied to express the joint distribution of eigen values and vectors of the correlation matrix when sample is taken from a m-variate spherical distribution.

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연초에서 발생하는 복숭아혹진딧물(Myzus persicae)형태형 2종의 Random Amplified Polymorphic DNA(RAPD)을 이용한 유전적 유연관계 분석 (Genetic Relationahips of the Two Morphorogical Types of Myzus persicae(Homoptera:Aphididae) Collected from Tobacco Plants Based on Random Amplified Polymorphic DNA(RAPD))

  • 채순용;이기원;김상석;장영덕
    • 한국응용곤충학회지
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    • 제37권1호
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    • pp.31-37
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    • 1998
  • 연초에 채집하여 Blackman(1987)의 기주선호성과 형태적인 특징을 이용하여 분류한 방법에 의해 두가지 타입을 (M. persicae Sulzer와 M. nicotianae Blackman)으로 구분된 무시성충 복숭아 혹진딧물 8 클론의 유전적 특성을 분석을 위하여 RAPD-PCR방법을 이용하였다. 사용된 random primer(10-mer) 100개 중에서 20개의 primer을 선발하였는데 GC content가 70, 80, 90%인 primer에서 각각 26.9%, 50.5% 및 66.^%로 GC content가 높아질수록 PCR결과 band의 양상이 좋게 나타났다. simple matching coefficient를 구하여 matrix를 작성해 본 결과 유사계수(similarity coefficient)의 범위는 0.414~0.808사이이었다. 복숭아혹진딧물 clone 간에 유사계수가 가장 높은 것은 PG2와 PG3 클론으로 0.808로 나타났으며, DBR클론을 기준으로 하여 볼 때 PG2 클론간의 유사계수를 0.414로 유사도가 가장 낮았다. 유사계수를 이용하여 8가지 클론의 진딧물들에 대한 유전적 근연관RP를 살펴보면 M. persicae typer에 속하는 PG1, PG2, PG3 클론들과 M. nicotianae type에 속하는 RED 클론이 유사도 0.643에서 한그룹, M. nicotianae type에 속하는 GR1, GR2, BRN크론들이 유사도 0.636에서 유연관계가 있었으며 그리고 M. persicae type에 the하는 DBR클론 등 세 개의 그룹으로 구분되었다. 따라서 연초에서 발생한 복숭아혹진딧물 형태형 2종 (M. persicae와 M. nicotianae)에 대하여 RAPD 기법을 이용하여 분석해본 결과 뚜렷한 유전적 유연관계는 발견하지 못하였다.

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다변량 프로빗 모형을 이용한 가전제품 구매의 상관관계 분석 (Correlation among Ownership of Home Appliances Using Multivariate Probit Model)

  • 김창섭;신정우;이미숙;이종수
    • 마케팅과학연구
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    • 제19권2호
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    • pp.17-26
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    • 2009
  • As the lifestyle of consumers changes and the need for various products increases, new products are being developed in the market. Each household owns various home appliances which are purchased through the choice of a decision maker. These appliances include not only large-sized products such as TV, refrigerator, and washing machine, but also small-sized products such as microwave oven and air cleaner. There exists latent correlation among possession of home appliances, even though they are purchased independently. The purpose of this research is to analyze the effect of demographic factors on the purchase and possession of each home appliances, and to derive some relationships among various appliances. To achieve this purpose, the present status on the possession of each home appliances are investigated through consumer survey data on the electric and energy product. And a multivariate probit(MVP) model is applied for the empirical analysis. From the estimation results, some appliances show a substitutive or complementary pattern as expected, while others which look apparently unrelated have correlation by co-incidence. This research has several advantages compared to previous literatures on home appliances. First, this research focuses on the various products which are purchased by each household, while previous researches such as Matsukawa and Ito(1998) and Yoon(2007) focus just on a particular product. Second, the methodology of this research can consider a choice process of each product and correlation among products simultaneously. Lastly, this research can analyze not only a substitutive or complementary relationship in the same category, but also the correlation among products in the different categories. As the data on the possession of home appliances in each household has a characteristic of multiple choice, not a single choice, a MVP model are used for the empirical analysis. A MVP model is derived from a random utility model, and has an advantage compared to a multinomial logit model in that correlation among error terms can be derive(Manchanda et al., 1999; Edwards and Allenby, 2003). It is assumed that the error term has a normal distribution with zero mean and variance-covariance matrix ${\Omega}$. Hence, the sign and value of correlation coefficients means the relationship between two alternatives(Manchanda et al., 1999). This research uses the data of 'TEMEP Household ICT/Energy Survey (THIES) 2008' which is conducted by Technology Management, Economics and Policy Program in Seoul National University. The empirical analysis of this research is accomplished in two steps. First, a MVP model with demographic variables is estimated to analyze the effect of the characteristics of household on the purchase of each home appliances. In this research, some variables such as education level, region, size of family, average income, type of house are considered. Second, a MVP model excluding demographic variables is estimated to analyze the correlation among each home appliances. According to the estimation results of variance-covariance matrix, each households tend to own some appliances such as washing machine-refrigerator-cleaner-microwave oven, and air conditioner-dish washer-washing machine and so on. On the other hand, several products such as analog braun tube TV-digital braun tube TV and desktop PC-portable PC show a substitutive pattern. Lastly, the correlation map of home appliances are derived using multi-dimensional scaling(MDS) method based on the result of variance-covariance matrix. This research can provide significant implications for the firm's marketing strategies such as bundling, pricing, display and so on. In addition, this research can provide significant information for the development of convergence products and related technologies. A convergence product can decrease its market uncertainty, if two products which consumers tend to purchase together are integrated into it. The results of this research are more meaningful because it is based on the possession status of each household through the survey data.

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강재 모멘트 골조의 비선형 지진 해석을 위한 IBS 보 요소 (IBS Beam Element for Nonlinear Seismic Analysis of Steel Moment Frames)

  • 김달성;김동성;김기동;고만기
    • 대한토목학회논문집
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    • 제28권2A호
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    • pp.233-242
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    • 2008
  • 본 연구는 지진운동의 영향 하에서 강제 모멘트 골조로 이루어진 post-Northridge(덮개판) 연결부를 갖는 보의 탄성 및 비탄성 거동을 모델하기 위한 부등단면 보(IBS 보) 요소를 제시한다. 덮개판(IBS) 연결부를 갖는 부등단면 보의 탄성강성 매트릭스는 수치적분이 필요치 않은 수식으로 표현된다. 소성모델은 분포형이며 강체링크로 연결된 일련의 비선형 힌지로 구성 되어있고 경화법칙은 단조 및 임의 주기 하중에 대한 비탄성 거동과 국부좌굴의 효과를 고려할 수 있다. 또한 IBS 보 요소에 대한 항복면, 강성 변수, 그리고 경화(혹은 연화) 법칙 변수의 결정과정을 기술하였고 IBS 보 요소의 해석결과를 실험 및 FEM 해석결과와 비교하였다. IBS 보 요소의 해석결과는 실험 및 FEM 결과와 좋은 상관관계를 보였다.