• 대한안전경영과학회:학술대회논문집
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• 대한안전경영과학회 2013년 춘계학술대회
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• pp.547-556
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• 2013

Control chart is most widely used in SPC(Statistical Process Control), Recently it is a critical issue that the standard control chart is not suitable to non-normal process with very small percent defective. Especially, this problem causes serious errors in the reliability procurement, such as semiconductor, high-precision machining and chemical process etc. Procuring process control technique for non-normal process with very small percent defective and perturbation is becoming urgent. Control chart technique in non-normal distribution become very important issue. In this paper, we investigate on research trend of control charts under non-normal distribution.

• Journal of the Korean Data and Information Science Society
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• 제23권1호
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• pp.89-98
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• 2012

이 논문에서는 두 개의 Maxwell분포의 모수들의 동질성을 모수비에 근거하여 검정하는 근사통계량을 제안한다. Maxwell분포의 모수비에 대한 추정량이 복잡하여 정확한 분포를 유도하기는 매우 어렵다. 이러한 문제를 해결하기 위한 하나의 대안으로 표준정규분포로 근사적으로 수렴하는 통계량을 고려해야 한다. 이 논문에서 제안된 통계량은 표준정규분포로 수렴하며, 표본의 수가 작은 경우에도 사용할 수 있다. 특히, 본 논문에서는 부호화 로그 우도비 통계량과 수정된 부호화 로그 우도비 통계량을 개발한다. 일반적으로, 수정된 부호화 로그 우도비 통계량은 로그 우도비 통계량에 비해 표준정규분포로 수렴하는 속도가 매우 빠르다. 부호화 로그 우도비 통계량은 작은 표본으로도 표준정규분포로 매우 빨리 수렴한다. 제안된 통계량들의 성질들을 모의실험을 통하여 알아보고, 제안된 통계량을 예제를 통하여 연구한다.

• Journal of the Korean Statistical Society
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• 제33권3호
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• pp.323-337
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• 2004

This article coined a general class of estimators for various measures in normal population when some' a priori' or guessed value of standard deviation a is available in addition to sample information. The class of estimators is primarily defined for a function of standard deviation. An unbiased estimator and the minimum mean squared error estimator are worked out and the suggested class of estimators is compared with these classical estimators. Numerical computations in terms of percent relative efficiency and absolute relative bias established the merits of the proposed class of estimators especially for small samples. Simulation study confirms the excellence of the proposed class of estimators. The beauty of this article lies in estimation of various measures like standard deviation, variance, Fisher information, precision of sample mean, process capability index $C_{p}$, fourth moment about mean, mean deviation about mean etc. as particular cases of the proposed class of estimators.

• 한국대기환경학회지
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• 제2권3호
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• pp.34-44
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• 1986

Particle size distribution of airborne suspended particulate concentrations according to particle size in the events of yellow sand phenomena, have been measured and analyzed by using Andersen air sampler for four years, January 1982 through December 1985. The conclusions are as follows: 1. Yellow sand phenomena, generally, occur between March and May. 2. The frequent occurrences of yellow sand were observed during March and April and airborne suspended particulate concentrations in the cases of yellow sand appeared to be 2 $\sim$ 3.4 times higher than those of normal conditions. 3. Geometric mean particle diameter and its geometric mean standard deviation by logarithmic normal distribution sheet, were quite close to each other and log-distribution curves showed similar shapes. 4. Analysis by particle size distribution curve showed bi-modal distribution. 5. Concentrations of coarse particles in normal conditions were 1.2 $\sim$ 2 times higher than those of fine particles and, similarly, coarse particle concentrations in yellow sand cases were 1.3 $\sim$ 2.5 times higher than those of fine particles. 6. Concentrations of coarse particles in yellow sand cases were 2 $\sim$ 3.6 times higher than those in normal conditions and those of fine particles were 1.7 $\sim$ 3.5 times higher.

• Communications for Statistical Applications and Methods
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• 제7권3호
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• pp.913-926
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• 2000

An electronic statistics text on the web is implemented. The introduced text provide interactive instructions on the statistical estimation and inference. As a by-product, we also provide a calculation of quantiles and p-value of t-distribution and standard normal distribution. This program was written in JAVA programming language.

• 한국해양학회지
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• 제28권2호
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• pp.114-120
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• 1993

입도분포의 특징분석에 종래의 조직특성치 대신 수치해석적인 분해법의 적용을 시 도하였다. 그 결과 이 방법이 제주해협의 대륙붕 표층퇴적물과 같은 복모드형 입 도분포의 분석에 매우 유용함이 입증 되었다. 복모드형 입도분포 퇴적물은 제주해협 대륙붕에서는 86%의 높은 비율을 점한다. 종래의 입도특성치(평균, 표준편차, 왜도, 첨도)는 복모드형 입도분포에 대해서는 왜곡된 값을 보인다. 따라서 입도분포의 모드 에 대체로 대응되는 정규성분으로 분해해서 각 정규성분의 특성치를 해석함으로써 입 도특성치에서와 같은 특징의 누락이나 왜곡을 피할 수 있다. 제주해협 대륙붕의 167개 퇴적물 입도분포곡선을 비선형 최소자승법을 사용하여 정규성분으로 분해해서 총 387 개의 정규성분을 얻었다. 정규성분의 평균은 1-3 phi 8-9 phi에 집중되는 것이 많다. 이중 조립질 정규성분의 평균치는 복잡하고 특징적인 지리적 분포를 보인다. 이러한 분포는 퇴적물 총층후 분포와 매우 유사하며 해저면의 지질과 지형을 면밀하게 반영하 고 있다. 해저면을 형성하는 퇴적층은 플라이스토세 후기의 해침성 모래층이며 해저지 형은 플라이스토세말 빙하기 저해수면시기의 침식에 의해 형성된 것으로 보인다.

• Communications for Statistical Applications and Methods
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• 제21권6호
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• pp.529-538
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• 2014

In this paper, we consider maximum likelihood estimators of normal distribution based on type II censoring. Gupta (1952) and Cohen (1959, 1961) required a table for an auxiliary function to compute since they did not have an explicit form; however, we derive an explicit form for the estimators using a method to approximate the likelihood function. The derived estimators are a special case of Balakrishnan et al. (2003). We compare the estimators with the Gupta's linear estimators through simulation. Gupta's linear estimators are unbiased and easily calculated; subsequently, the proposed estimators have better performance for mean squared errors and variances, although they show bigger biases especially when the ratio of the complete data is small.

• Communications for Statistical Applications and Methods
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• 제14권3호
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• pp.609-621
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• 2007

Diagnostic test results, which are approximately normal with a few number of outliers, but non-normal probability distribution, are frequently observed in practice. In the evaluation of two diagnostic tests, Greenhouse and Mantel (1950) proposed a parametric test under the assumption of normality but this test is inappropriate for the above non-normal case. In this paper, we propose a computationally simple nonparametric test that is based on quantile estimators of mean and standard deviation, instead of the moment-based mean and standard deviation as in some parametric tests. Parametric and nonparametric tests are compared with simulations under the assumption of, respectively, normality and non-normality, and under various combinations of the probability distributions for the normal and diseased groups.

• Communications for Statistical Applications and Methods
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• 제9권1호
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• pp.187-196
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• 2002

Testing for normality has always been a center of practical and theoretical interest in statistical research. In this paper a test statistic for bivariate normality is proposed. The underlying idea is to investigate all the possible linear combinations that reduce to the standard normal distribution under the null hypothesis and compare the order statistics of them with the theoretical normal quantiles. The suggested statistic is invariant with respect to nonsingular matrix multiplication and vector addition. We show that the limit distribution of an approximation to the suggested statistic is represented as the supremum over an index set of the integral of a suitable Gaussian Process. We also simulate the null distribution of the statistic and give some critical values of the distribution and power results.

• International Journal of Precision Engineering and Manufacturing
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• 제4권6호
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• pp.12-19
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• 2003

This paper presents the effect of boundary conditions in various failure pressure models published for the estimation of failure pressure. Furthermore, this approach is extended to the failure prediction with the aid of a failure probability model. The first order Taylor series expansion of the limit state function is used in order to estimate the probability of failure associated with each corrosion defect in buried pipelines for long exposure period with unit of years. A failure probability model based on the von-Mises failure criterion is adapted. The log-normal and standard normal probability functions for varying random variables are adapted. The effects of random variables such as defect depth, pipe diameter, defect length, fluid pressure, corrosion rate, material yield stress, material ultimate tensile strength and pipe thickness on the failure probability of the buried pipelines are systematically investigated for the corrosion pipeline by using an adapted failure probability model and varying failure pressure model.