• Title/Summary/Keyword: Normal variation

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Bayesian Test for Equality of Coefficients of Variation in the Normal Distributions

  • Lee, Hee-Choon;Kang, Sang-Gil;Kim, Dal-Ho
    • 한국데이터정보과학회:학술대회논문집
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    • 2003.10a
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    • pp.49-56
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    • 2003
  • When X and Y have independent normal distributions, we develop a Bayesian testing procedure for the equality of two coefficients of variation. Under the reference prior of the coefficient of variation, we propose a Bayesian test procedure for the equality of two coefficients of variation using fractional Bayes factor. A real data example is provided.

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Bayesian Test for Equality of Coefficients of Variation in the Normal Distributions

  • Lee, Hee-Choon;Kang, Sang-Gil;Kim, Dal-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.1023-1030
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    • 2003
  • When X and Y have independent normal distributions, we develop a Bayesian testing procedure for the equality of two coefficients of variation. Under the reference prior of the coefficient of variation, we propose a Bayesian test procedure for the equality of two coefficients of variation using fractional Bayes factor. A real data example is provided.

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ON THE STABILITY OF IMMERSED MANIFOLDS IN $E^4$

  • Abdel-all, Nassar H.;Hussein, Rawya A.
    • Journal of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.663-677
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    • 1999
  • This work is concerned mainly with the variational problem on an immersion x:M $\rightarrow$} $E^4$ . A new approach is introduced depends on the normal variation in any arbitrary normal direction in the normal bundle. The results of this work are considered as a continuation and an extension to that obtained in [1], [2] and [3], [4] respectively. The methods adapted here are based on Cartan's methods of moving frames and the calculus of variations.

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Default Bayesian testing for normal mean with known coefficient of variation

  • Kang, Sang-Gil;Kim, Dal-Ho;Le, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.297-308
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    • 2010
  • This article deals with the problem of testing mean when the coefficient of variation in normal distribution is known. We propose Bayesian hypothesis testing procedures for the normal mean under the noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the objective Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factor under the reference prior. Specially, we develop intrinsic priors which give asymptotically same Bayes factor with the intrinsic Bayes factor under the reference prior. Simulation study and a real data example are provided.

Bayesian hypothesis testing for homogeneity of coecients of variation in k Normal populationsy

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.1
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    • pp.163-172
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    • 2010
  • In this paper, we deal with the problem for testing homogeneity of coecients of variation in several normal distributions. We propose Bayesian hypothesis testing procedures based on the Bayes factor under noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be dened up to a multiplicative constant. So we propose the objective Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factor under the reference prior. Simulation study and a real data example are provided.

Reference Priors in the Normal Distributions with Common Coefficient of Variation

  • Lee, Hee-Choon;Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.3
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    • pp.697-705
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    • 2003
  • When X and Y have independent normal distributions with equal coefficient of variation, we develop the reference priors for different groups of ordering for the parameters. Propriety of posteriors under reference priors proved. A real example is presented to compare the classical estimator and Bayes estimator.

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The Statistical Design of CV Control Charts for the Gamma Distribution Processes (감마분포 공정을 위한 변동계수 관리도의 통계적 설계)

  • Lee, Dong-Won;Paik, Jae-Won;Kang, Chang-Wook
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.29 no.2
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    • pp.97-103
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    • 2006
  • Recently, the control chart is developed for monitoring processes with normal short production runs by the coefficient of variation(CV) characteristic for a normal distribution. This control chart does not work well in non-normal short production runs. And most of industrial processes are known to follow the non-normal distribution. Therefore, the control chart is required to be developed for monitoring the processes with non-normal short production runs by the CV characteristics for a non-normal distribution. In this paper, we suggest the control chart for monitoring the processes with a gamma short runs by the CV characteristics for a gamma distribution. This control chart is denoted by the gamma CV control chart. Futhermore evaluated the performance of the gamma CV control chart by average run length(ARL).

Endocrine Profiles and Blood Chemistry Patterns of Cloned Miniature Pigs in the Post-Puberty Period

  • Lee, Sung-Lim
    • Journal of Embryo Transfer
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    • v.29 no.2
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    • pp.119-125
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    • 2014
  • Although the majority of surviving pigs cloned by somatic cell nuclear transfer (SCNT) appear to be physiologically normal, there is a general lack of detailed hemato-physiologic studies for the period of early adulthood to substantiate this claim. In the present study, we investigated variation in blood chemistry and endocrinological parameters between mesenchymal stem cells (MSCs) derived from cloned and normal age-matched female and male miniature pigs. Cloned females and males showed normal ranges for complete blood count assessments. Biochemical assessments showed that ${\gamma}$-GGT, ALT and cholesterol levels of male and female clones were significantly (P<0.05 or P<0.01, respectively) higher than that of age-matched control miniature pigs. Variations in insulin and IGF-1 were higher in female clones than in male clones and controls. Thus, although female and male cloned miniature pigs may be physiologically similar to normal animals, or at least within normal ranges, a greater degree of physiological and endocrinological variation was found in cloned pigs. The above variation must be taken into account before considering cloned female or male miniature pigs for various biomedical applications.

The Study of Dysplasic Grades to Digital Image Analyzer (화상분석기를 이용한 정도별 이형성증에 대한 연구)

  • Joo, Kyung-Woong
    • Korean Journal of Clinical Laboratory Science
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    • v.38 no.3
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    • pp.203-207
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    • 2006
  • The purpose of this study was to develop discriminant analysis models for predicting cervical normal/dysplasia case diagnoses using cytometric features derived from the digital image analysis of cell monolayers. The database consisted of 19 cases diagnosed either as normal (n=5), moderate dysplasia (n=7), severe dysplasia (n=7) on monolayer preparations. We studied the nuclear and cytoplasmic characteristics of cells in the normal, moderate dysplasia and severe dysplasia on cervical samples. The morphometric parameters selected for the analysis were nuclear/cytoplasmic ratio and the nuclear variations measured by image analysis on normal and precancerous lesions of cervical smears; several shape factors; area; perimeter; maximal, minimal and equivalent circle diameters. The results showed that the dysplasia samples exhibited changes in both cellular and nuclear form and size but lacked substantial differences in the tumor grades. The coefficient of nuclear variation is as follows to normal cell $21.8{\pm}3.2%$, moderate dysplasia $33.5{\pm}6.1%$, severe dysplasia $27.7{\pm}5.8$ of cervical smears.

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Design of the Robust CV Control Chart using Location Parameter (위치모수를 이용한 로버스트 CV 관리도의 설계)

  • Chun, Dong-Jin;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.39 no.1
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    • pp.116-122
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    • 2016
  • Recently, the production cycle in manufacturing process has been getting shorter and different types of product have been produced in the same process line. In this case, the control chart using coefficient of variation would be applicable to the process. The theory that random variables are located in the three times distance of the deviation from mean value is applicable to the control chart that monitor the process in the manufacturing line, when the data of process are changed by the type of normal distribution. It is possible to apply to the control chart of coefficient of variation too. ${\bar{x}}$, s estimates that taken in the coefficient of variation have just used all of the data, but the upper control limit, center line and lower control limit have been settled by the effect of abnormal values, so this control chart could be in trouble of detection ability of the assignable value. The purpose of this study was to present the robust control chart than coefficient of variation control chart in the normal process. To perform this research, the location parameter, ${\bar{x_{\alpha}}}$, $s_{\alpha}$ were used. The robust control chart was named Tim-CV control chart. The result of simulation were summarized as follows; First, P values, the probability to get away from control limit, in Trim-CV control chart were larger than CV control chart in the normal process. Second, ARL values, average run length, in Trim-CV control chart were smaller than CV control chart in the normal process. Particularly, the difference of performance of two control charts was so sure when the change of the process was getting to bigger. Therefore, the Trim-CV control chart proposed in this paper would be more efficient tool than CV control chart in small quantity batch production.