• Journal of the Korean Data and Information Science Society
• /
• 제18권4호
• /
• pp.869-878
• /
• 2007

In this paper a new process capability index $C_{psks}$ is introduced for non-normal process. $C_{psks}$ that is proposed by transformation of the $C_{psks}$ incorporates an additional skewness correction factor in the denominator of $C_{psks}$. The use of each technique is illustrated by reference to a distribution system which includes the Pearson and Johnson functions. Accordingly, $C_{psks}$ is proposed as the process capability measure for non-normal process.

• Journal of the Korean Data and Information Science Society
• /
• 제18권4호
• /
• pp.937-943
• /
• 2007

In this paper a new process incapability index $C^*_{psks}$ is introduced for non-normal process. $C^*_{psks}$ is proposed by transformation of the $C^*_{psks}$. The use of each technique is illustrated by reference to a distribution system which includes the Pearson and Johnson functions. Accordingly, $C^*_{psks}$ is proposed as the process capability measures for non-normal process.

• East Asian mathematical journal
• /
• 제29권3호
• /
• pp.269-278
• /
• 2013

A fuzzy set A defined on a probability space (${\Omega}$, $\mathfrak{F}$, P) is called a fuzzy event. Zadeh defines the probability of the fuzzy event A using the probability P. We define the normal fuzzy probability on $\mathbb{R}$ using the normal distribution. We calculate the normal fuzzy probability for generalized trapezoidal fuzzy sets and give some examples.

• 한국초전도학회:학술대회논문집
• /
• 한국초전도학회 2004년도 High Temperature Superconductivity Vol.XIV
• /
• pp.11-11
• /
• 2004

• Journal of applied mathematics & informatics
• /
• 제19권1_2호
• /
• pp.513-520
• /
• 2005

We calculate the normal fuzzy probability for trigonometric fuzzy numbers defined by trigonometric functions. And we study the normal probability for some operations of two trigonometric fuzzy numbers. Furthermore, we calculate the normal fuzzy probability for some fuzzy numbers generated by operations.

• Journal of applied mathematics & informatics
• /
• 제27권5_6호
• /
• pp.1429-1433
• /
• 2009

The likelihood distance for the joint distribution of two multivariate normal distributions with common covariance matrix is explicitly derived. It is useful for identifying outliers which do not follow the joint multivariate normal distribution with common covariance matrix. The likelihood distance derived here is a good ground for the use of a generalized Wilks statistic in influence analysis of two multivariate normal data.

• Communications for Statistical Applications and Methods
• /
• 제2권2호
• /
• pp.330-335
• /
• 1995

The rebustness of one sample Chi-square test for multivariate normal mean vector is investigated when the multivariate normal population is mixed with another multivariate normal population with differing in the mean vector. Explicit expressions for the level of significance and power of the test are derived. Some numerical results indicate that the Chi-square test procedure is quite robust against slight mixtures of multivariate normal populations differing in location parameters.

• 충청수학회지
• /
• 제25권2호
• /
• pp.217-225
• /
• 2012

A generalized quadratic fuzzy set is a generalization of a quadratic fuzzy number. Zadeh defines the probability of the fuzzy event using the probability. We define the normal fuzzy probability on $\mathbb{R}$ using the normal distribution. And we calculate the normal fuzzy probability for generalized quadratic fuzzy sets.

• Archives of Pharmacal Research
• /
• 제28권11호
• /
• pp.1233-1235
• /
• 2005

Two new biflavonoids, 3'-hydroxyamentoflavone-7-O-methyl ether (1) and 3'-hydroxyamentoflavone (2), were isolated from the fruits of Aristolochia contorta Bge. Their structures were elucidated by HR-ESI-MS, 1D-, and 2D-NMR spectroscopy.

• 대한화학회지
• /
• 제49권5호
• /
• pp.470-472
• /
• 2005