• Title/Summary/Keyword: 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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    • v.25 no.4
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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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A study on transformation factors to family business establishment - focussing on pre-wage earner group - (가족기업 창업으로의 전환결정요인에 관한 연구)

  • 정순희;송지영
    • Journal of Family Resource Management and Policy Review
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    • v.5 no.2
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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
    • Honam Mathematical Journal
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    • v.35 no.4
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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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    • v.6 no.1
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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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    • v.18 no.5
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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.

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

  • 여인권
    • The Korean Journal of Applied Statistics
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    • v.17 no.3
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    • pp.489-498
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    • 2004
  • In this paper, a new form of linear models referred to as generalized weighted linear models is proposed. The proposed models assume that the relationship between the response variable and explanatory variables can be modelled by a distribution function of the response mean and a weighted linear combination of distribution functions of covariates. This form addresses a structural problem of the link function in the generalized linear models in which the parameter space may not be consistent with the space derived from linear predictors. The maximum likelihood estimation with Lagrange's undetermined multipliers is used to estimate the parameters and resampling method is applied to compute confidence intervals and to test hypotheses.

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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    • v.6 no.2
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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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    • v.20 no.6
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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.

Squaring the Circle in Perspective (방원도의 투영)

  • Kim, Hong-Jong
    • Journal for History of Mathematics
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    • v.27 no.6
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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.

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

  • Kim, Seong-Jin;Kim, Gee-Su;Yi, Min-Ok;Joh, Yong-Goe
    • Journal of the Korean Applied Science and Technology
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    • v.9 no.2
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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.