• 제목/요약/키워드: Conjugate family

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Bayes Factor for Change-point with Conjugate Prior

  • Chung, Youn-Shik;Dey, Dipak-K.
    • Journal of the Korean Statistical Society
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    • 제25권4호
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    • pp.577-588
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    • 1996
  • The Bayes factor provides a possible hierarchical Bayesian approach for studying the change point problems. A hypothesis for testing change versus no change is considered using predictive distributions. When the underlying distribution is in one-parameter exponential family with conjugate priors, Bayes factors are investigated to the hypothesis above. Finally one example is provided .

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가족기업 창업으로의 전환결정요인에 관한 연구 (A study on transformation factors to family business establishment - focussing on pre-wage earner group -)

  • 정순희;송지영
    • 가족자원경영과 정책
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    • 제5권2호
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    • pp.13-27
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    • 2001
  • The purpose of this study was to analyze which factor, influenced their change from pre-wage group to family business group. The subject of study classified by wage earner group and family business group. Independent variables effected by transform to family business group are classified by personal variables and workable variables. The major findings of this study are as followings: Sex, age, marriage of personal variables and pre-work time, pre-wage, wholesale - retail business, restaurant business and person service business of pre-industry of work variables had significant effect on transform to family business. Especially, Marriage group and low pre-wage income group significant effected on transfer to family business. By this, personal to transfer to family business can conjugate information of search and choice decision and can be used as a valuable data for future family business study.

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INTERVAL-VALUED FUZZY SUBGROUPS

  • Lee, Jeong Gon;Hur, Kul;Lim, Pyung Ki
    • 호남수학학술지
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    • 제35권4호
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    • pp.565-582
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    • 2013
  • We study the conditions under which a given interval-valued fuzzy subgroup of a given group can or can not be realized as a union of two interval-valued fuzzy proper subgroups. Moreover, we provide a simple necessary and su cient condition for the unio of an arbitrary family of interval-valued fuzzy subgroups to be an interval-valued fuzzy subgroup. Also we formulate the concept of interval-valued fuzzy subgroup generated by a given interval-valued fuzzy set by level subgroups. Furthermore we give characterizations of interval-valued fuzzy conjugate subgroups and interval-valued fuzzy characteristic subgroups by their level subgroups. Also we investigate the level subgroups of the homomorphic image of a given interval-valued fuzzy subgroup.

UNION OF INTUITIONISTIC FUZZY SUBGROUPS

  • Hur Kul;Kang Hee-Won;Ryou Jang-Hyun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권1호
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    • pp.85-93
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    • 2006
  • We study the conditions under which a given intuitionistic fuzzy subgroup of a given group can or can not be realized as a union of two proper intuitionistic fuzzy subgroups. Moreover, we provide a simple necessary and sufficient condition for the union of an arbitrary family of intuitionistic fuzzy subgroups to be an intuitionistic fuzzy subgroup. Also we formulate the concept of intuitionistic fuzzy subgroup generated by a given intuitionistic fuzzy set by level subgroups. Furthermore we give characterizations of intuitionistic fuzzy conjugate subgroups and intuitionistic fuzzy characteristic subgroups by their level subgroups. Also we investigate the level subgroups of the homomorphic image of a given intuitionistic fuzzy subgroup.

Bayesian Estimations on the Exponentiated Distribution Family with Type-II Right Censoring

  • Kim, Yong-Ku;Kang, Suk-Bok;Seo, Jung-In
    • Communications for Statistical Applications and Methods
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    • 제18권5호
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    • pp.603-613
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    • 2011
  • Exponentiated distribution has been used in reliability and survival analysis especially when the data is censored. In this paper, we derive Bayesian estimation of the shape parameter, reliability function and failure rate function in the exponentiated distribution family based on Type-II right censored data. We here consider conjugate prior and noninformative prior and corresponding posterior distributions are obtained. As an illustration, the mean square errors of the estimates are computed. Comparisons are made between these estimators using Monte Carlo simulation study.

분포함수를 기초로 일반화가중선형모형 (Generalized Weighted Linear Models Based on Distribution Functions - A Frequentist Perspective)

  • 여인권
    • 응용통계연구
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    • 제17권3호
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    • pp.489-498
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    • 2004
  • 이 논문에서는 일반화가중선형모형이라는 새로운 형태의 선형모형을 제시한다. 일반화가중선형모형은 설명변수와 반응변수의 관계를 설명분포함수의 선형결합이 반응변수의 평균에 대한 연결분포함수를 통해 모형화 되는 형태를 가지는 것으로 가정한다. 이모형은 일반화선형 모형에서 연결함수를 선택할 때 발생할 수 있는 모수공간과 선형 예측값의 공간이 일치하지 않을 수 있다는 문제가 발생하지 않고 모수에 대한 해석이 용이하다는 장점이 있다. 이 논문에서는 설명분포함수와 연결분포함수를 선택하는데 있어 발생할 수 있는 문제와 해결책에 대해 알아본다. 또한 모형에 포함되어 있는 모수를 추정하는데 고려해야 할 주의 사항과 이 사항들을 고려한 최대가능도추정법과 재표집 방법을 이용한 구간추정과 가설검정에 대해 알아본다.

Salvatrione: A Diterpene-monoterpene Conjugate from Salvia bucharica

  • Ahmad, Viqar Uddin;Zahid, Muhammad;Ali, Muhammad Shaiq;Jassbi, Amir Reza;Ahmad, Shakeel;Ali, Zulfiqar;Iqbal, Muhammad Zafar
    • Natural Product Sciences
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    • 제6권2호
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    • pp.66-69
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    • 2000
  • Salvia bucharica belonging to the family Lamiaceae (Labiatae), afforded a novel terpenoid (1) named as salvatrione. The structure of 1 was elucidated through extensive 2-D NMR experiments and the biogenetic pathway of 1 has also been proposed. On biogenetic grounds, 1 may be considered to be a pseudo-triterpenoid as it is derived from the coupling of mono/ diterpenic units and not from squalene.

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Bayesian Multiple Change-Point Estimation and Segmentation

  • Kim, Jaehee;Cheon, Sooyoung
    • Communications for Statistical Applications and Methods
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    • 제20권6호
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    • pp.439-454
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    • 2013
  • This study presents a Bayesian multiple change-point detection approach to segment and classify the observations that no longer come from an initial population after a certain time. Inferences are based on the multiple change-points in a sequence of random variables where the probability distribution changes. Bayesian multiple change-point estimation is classifies each observation into a segment. We use a truncated Poisson distribution for the number of change-points and conjugate prior for the exponential family distributions. The Bayesian method can lead the unsupervised classification of discrete, continuous variables and multivariate vectors based on latent class models; therefore, the solution for change-points corresponds to the stochastic partitions of observed data. We demonstrate segmentation with real data.

방원도의 투영 (Squaring the Circle in Perspective)

  • 김홍종
    • 한국수학사학회지
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    • 제27권6호
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    • pp.395-402
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    • 2014
  • When the circle inscribed in a square is projected to a picture plane, one sees, in general, an ellipse in a convex quadrilateral. This ellipse is poorly described in the works of Alberti and Durer. There are one parameter family of ellipses inscribed in a convex quadrilateral. Among them only one ellipse is the perspective image of the circle inscribed in the square. We call this ellipse "the projected ellipse." One can easily find the four tangential points of the projected ellipse and the quadrilateral. Then we show how to find the center of the projected ellipse. Finally, we describe a pair of conjugate vectors for the projected ellipse, which finishes the construction of the desired ellipse. Using this algorithm, one can draw the perspective image of the squared-circle tiling.

솔과 식물 종실유의 지방산 조성 (Fatty Acid Compositions of Some Seed Oils from the Pinaceae Family)

  • 김성진;김지수;이민옥;조용계
    • 한국응용과학기술학회지
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    • 제9권2호
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    • pp.149-156
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    • 1992
  • Levels of total lipids in the seeds of three species of the Pinaceae family were determined and their fatty acid compositions were also analyzed by a gas-chromatograph equipped with a capillary column coated with Carbowax 20M. The results are summarized as follows: Lipid contents of the seeds amounted to 56.9% in P. koraiensis, 29.9% in P. thunbergii, and 21.2% in P. rigida. In all lipids 19${\sim}$20 fatty acid were detected and, surprisingly, fatty acids having ${\Delta}^5$-non-methylene interrupted conjugate double bond such as ${\Delta}^{5, 9}-C_{18:2},{\Delta}^{5, 9, 12}-C_{18:3}\;and\;{\Delta}^{5, 11, 14}-C_{20:3}$ occurred in appreciable amounts. In the lipids of P. koraiensis, the main component was $C_{18:2}{\omega}_6(45.0%)$, followed by $C_18:1{\omega} _9(26.9%)$ and ${\Delta}^{5, 9, 12}-C_{18:3}(14.6%)$, and then ${\Delta}^{5, 9}-C_{18:2}(2.2%)$ and ${\Delta}^{5, 11, 14}-C_{20:3}$ were also present. Levels of saturated fatty acid such as $C_{16:0}\;and\;C_{18:0}$ were as low as 7.5%. The seed oil of P. thunbergii predominantly comprised $C_{18:2}{\omega}_6(45.2%)$, and was then occupied by equal amounts ${\Delta}^{5, 9, 12}-C_{18:3}(18.1%)$ and $C_{18:1}{\omega}_9(18.1%)$. Its ${\Delta}^5, 11, 14}-C_{20:3}(5.8%)$ level was the highest in the samples tested. ${\Delta}^{5, 9}-C_{18:2}(2.8%)$ was also detected with other minor components. In the oils from the seeds of P. rigida, $C_{18:2}{\omega}_6$ was present as a main component, accompanied by $C_{18:1}{\omega}_9(21.6%)$ and ${\Delta}^{5, 9, 12}-C_{18:3}(20.3%)$. The latter showed higher level than in any other samples. A minor component corresponding to ${\Delta}^{5, 9, 12, 15}-C_{18:4}$(not confirmed by GC-Mass) occurred in P. thunbergii and P. rigida.