• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.41-60
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• 2000

In this paper we consider a series of algorithms for calculating radicals of matrix polynomial equations. A particular aspect of this problem arise in author's work. concerning parameter identification of linear dynamic stochastic system. Special attention is given of searching the solution of an equation in a neighbourhood of some initial approximation. The offered approaches and algorithms allow us to receive fast and quite exact solution. We give some recommendations for application of given algorithms.

• Bulletin of the Korean Mathematical Society
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• v.48 no.1
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• pp.9-15
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• 2011

The main purpose of this paper is using the elementary and analytic methods to study the properties of the 2k-th power mean value of the generalized quadratic Gauss sums, and give two exact mean value formulae for k = 3 and 4.

• 제어로봇시스템학회:학술대회논문집
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• 2000.10a
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• pp.52-52
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• 2000

The HPL(Horizontal Protection Limit) means bound of radial horizontal error with given probability in satellite navigation system. RAIM algorithm is not available if HPL exceeds HAL (Horizontal Alert Limit). So exact calculation of HPL is very significant in RAIM algorithm. In this paper the methods that calculate HPL their own way a]:e studied and compared by simulation. And availability of RAIM algorithm is evaluated also.

• Communications for Statistical Applications and Methods
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• v.2 no.2
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• pp.166-175
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• 1995

When a neutral particle beam(NPB) aimed at the object and receive a small number of neutron signals at the detector without any errors, it obeys Poisson law. Under the two assumptions that neutral particle scattering distribution and aiming errors have a circular Gaussian distributions that neutral particle scattering distribution and aiming errors have a circular Gaussian distribution respectively, an exact probability distribution of neutral particles vecomes a Poisson-power function distribution. We study and prove some properties, such as limiting distribution, unimodality, stochastical ordering, computational recursion fornula, of this distribution. We also prove monotone likelihood ratio(MLR) property of this distribution. Its MLR property can be used to find a criteria for the hypothesis testing problem.

• Communications for Statistical Applications and Methods
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• v.7 no.3
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• pp.799-809
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• 2000

In this paper we propose a nonparametric one sided test for location parameters in p-variate(p$\geq$2) location translation model. The exact null distributions of test statistics are calculated by permutation principle in the case of relatively small sample sizes and the asymptotic distributions are also considered. The powers of various tests are compared through computer simulation and thep-values with real data are also suggested through example.

• Communications for Statistical Applications and Methods
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• v.4 no.3
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• pp.629-635
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• 1997

An approximation for multivariate t probability for an orhant region(i.e., a rectangular resion with lower limits of $-\infty$ for all margins) is proposed. It is based on conditional expectations, a regression with binary variables, and the exact formula for the evalution of the bivariate t integrals by Dunnett and Sobel. It is noted that the proposed approximation method is espicially useful for evaluating the multivariate t integrals where there is no simple method available until now.

• Communications for Statistical Applications and Methods
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• v.20 no.1
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• pp.53-62
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• 2013

This study focuses on spatial/temporal relationship deaths caused by Human Immunodeficiency Virus (HIV) and Alcohol Use Disorder (AUD). Several studies have found links between these two diseases. By looking for clusters in mortality of Alcohol and HIV related deaths this study contributes to the field through the identification of exact spatial/temporal time of high and low occurrence risks based on the observed over the expected number of deaths. This study does not provide political or social interpretations of the data. It merely wants to show where clusters are found.

• Communications for Statistical Applications and Methods
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• v.20 no.1
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• pp.1-13
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• 2013

This paper introduces an extended version of ${\kappa}$-records. Kullback-Leibler (K-L) information between two generalized distributions arising from ${\kappa}$-records is derived; subsequently, it is shown that K-L information does not depend on the baseline distribution. The behavior of K-L information for order statistics and ${\kappa}$-records, is studied. The exact expressions for K-L information between distributions of order statistics and upper (lower) ${\kappa}$-records are obtained and some special cases are provided.

• Journal of the Korean Society of Safety
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• v.7 no.3
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• pp.89-98
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• 1992

In this study, the methods to identify the causes of electrical fires are suggested. Among several causes of electrocal fires, it is focused upon a short-circuit and an over-current accidents, which take the highest ratio compare with any other causes. To propose the exact method of identification, electric wires(HIV, IV), fuses and plug-receptacls are tested under the conditions of electrical accidents and external fires, respectively. By analyzing the microphotographs, the differences between the results from electrical fires and the others are found out.

• Journal of Korean Institute of Industrial Engineers
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• v.13 no.2
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• pp.87-95
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• 1987

This article deals with the expected travel distances under Closest Open Location rule. In this paper it is shown that uniform distribution assumption over a rack, which is usually used when modeling randomized storage, is not valid under COL rule, where arrival loads follow Poisson process and duration times are independent of each other and have finite mean. We give both exact and approximate methods for the expected travel distances. Warehouse sizing problem is also included.