• 대한수학회보
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• 제48권1호
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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.

• 대한수의학회지
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• 제21권2호
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• pp.167-170
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• 1981

Changes in serum glutamic oxaloacetic transaminase (s-GOT) activities, serum alkaline phosphatase activities and serum total protein amounts were investigated on seven Korean native cows having normal estrus cycle of 18~24 days after normal parturition, dividing estrus cycle into estrus (0~1 days), metestrus (2~6 days), diestrus (7~16 days), proestrus (17~20 days). The results were as follows. 1. Serum GOT activities at estrus ranged from 73.5 to 121.5 Ku with a mean of $89.14{\pm}17.16$ Ku, at metestrus 57 to 89 Ku with a mean of $67.01{\pm}10.81$ Ku, at diestrus 54 to 89.5 Ku with a mean of $67.05{\pm}10.05$ Ku and at proestrus 53 to 112 Ku with a mean of $73.00{\pm}20.05$ Ku. The activities were significantly increased at the estrus comparing with other stages (P<0.01). 2. Serum ALP activities at estrus ranged from 8.0 to 10.4 K-Au with a mean of $8.74{\pm}0.83$ K-Au, at metestrus 6.5 to 9.2 K-Au with a mean of$7.74{\pm}0.76$ K-Au, at diestrus 5.6 to 9.0 K-Au with a mean of $7.67{\pm}1.13$ K-Au, at proestrus 6.2 to 9.3 K-Au with a mean of $7.12{\pm}1.18$ K-Au. The significance was not recognized among the stages of estrus cycle. 3. Serum total protein amounts at estrus ranged from 6.45 to 8.0g/10dl with a mean of $7.25{\pm}0.57/100dl$, at metestrus, 6.37 to 7.9g/100dl with a mean of $7.65{\pm}0.50g/100dl$, fat diestrus, 6.56 to 8.67g/100dl, with a mean of $7.53{\pm}0.55g/100dl$ and at proestrus 5.94 to 7.71g/100dl with a mean of $6.54{\pm}0.65g/dl$. There was not significance among the stages of estrus cycle.

• 대한수학회지
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• 제57권3호
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• pp.641-653
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• 2020

To extend the well-known extremal characterization of the geometric mean of two n × n positive definite matrices A and B, we solve the following problem: $${\max}\{X:X=X^*,\;\(\array{A&V&X\\V&B&W\\X&W&C}\){\geq}0\}$$. We find an explicit expression of the maximum value with respect to the matrix geometric mean of Schur complements.

• Journal of Yeungnam Medical Science
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• 제6권1호
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• pp.99-107
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• 1989

저자들은 1987년 9월부터 1989년 4월사이 약 19개월간 영남대학병원 내과에 입원하여 만성 심방세동 진단하에 치료받고 있던 환자 34명을 대상으로 digoxin치료를 받은 20명과 치료를 받지 않은 10명에 대한 24시간 ambulatory ECG를 시행하여 두 집단간의 심박수의 변화 및 가장 긴 정지기등을 비교 분석한 결과 다음과 같은 성적을 얻었다. 1) 대상환자 34례의 평균 심박수의 평균치는 $75.7{\pm}13.8$회/min.($mean{\pm}S.D.$), 가장 빠른 심박수는 $148.0{\pm}32.4$/min.($mean{\pm}S.D.$), 가장 느린 심박수는 $48.1{\pm}8.4$회/min.($mean{\pm}S.D.$)이었고 가장 빠른 심박수와 가장 느린 심박수의 차이의 평균치는 $99.9{\pm}29.0$회/min.($mean{\pm}S.D.$), 가장 긴 정지기는 $2.95{\pm}1.06sec.$($mean{\pm}S.D.$)이었으며 이중 4명은 가장 긴 정지기가 4.0sec.이상으로 sick sinus syndrome을 배제할 수 없어서 비교대상집단에서는 제외시켰다. 2) 대상환자 34례중 27례에서 심실성 기외수축이 있었으며 100회/24hours이내가 11례(40.7%)로 가장 많았고, 변성전도(aberrant conduction)는 전례에서 다 나타났다. 3) Digoxin(0.25mg/day)으로 치료받은 20례의 평균 심박수의 평균치는 $78.4{\pm}13.7$회/min.($mean{\pm}S.D.$), 가장 빠른 심박수는 $152.5{\pm}33.1$회/min.($mean{\pm}S.D.$), 가장 느린 심박수는 $48.9{\pm}8.5$회/min.($mean{\pm}S.D.$) 이었고 가장 빠른 심박수와 가장 느린 심박수의 평균치는 $103.6{\pm}31.7$회/min.($mean{\pm}S.D.$), 가장 긴 정지기는 $2.55{\pm}0.50$sec.($mean{\pm}S.D.$)이었다. 4) Digoxin으로 치료받지 않은 10례의 평균 심박수의 평균치는 $78.0{\pm}10.7$회/min.($mean{\pm}S.D.$), 가장 빠른 심박수는 $154.5{\pm}26.8$회/min($mean{\pm}S.D.$), 가장 느린 심박수는 $50.6{\pm}7.1$회/min.($mean{\pm}S.D.$)이었고 가장 빠른 심박수와 가장 느린 심박수의 평균치는 $103.9{\pm}22.2$회/min.($mean{\pm}S.D.$), 가장 긴 정지기는 $2.66{\pm}0.39sec.$($mean{\pm}S.D.$)이었다. 5) Digoxin으로 치료받은 20명과 치료받지 않은 10명의 두 집단간의 평균 심박수, 가장 빠른 심박수, 가장 느린 심박수, 가장 빠른 심박수와 가장 느린 심박수의 차이, 가장 긴 정지기의 차이는 통계학적으로 유의하지 않았다(P>0.05). 이상을 요약하면 하루 0.25mg의 digoxin투여로 만성 심방세동 환자의 심박수는 잘 조절되었으며 만성 심방세동 환자의 치료유무 결정 및 치료약제에 대한 반응등을 평가하는데 ambulatory ECG가 유용하고 안전한 검사법으로 사료된다.

• 대한치과교정학회지
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• 제22권1호
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• pp.253-271
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• 1992

The purpose of this study was to investigate the difference of EMG activity of the Orbicularis oris and Mentalis muscle between normal occlusion and class III malocclusion group during various lip position and to find out whether any correlations exist between the muscular activity and craniofacial morphology. In this study, 50 subjects with a mean age of 22.9 Years (range 20.0-26.0) were investigated (25 subjects were normal occlusion, and 25 subjects were class III malocclusion). EMG data were recorded from the Orbicularis oris and Mentalis muscle during rest lip posture, lip position at maximum biting, lip position at maximum sealing effort, lip position at chewing, swallowing and phonation with the Medelec MS-25 electromyographic machine. Lateral cephalometric radiographs was taken with the mandible in intercuspal position on all subjects. All data were recorded and statistically processed. The findings of this study can be summerized as follows: 1. In normal occlusion, the maximal mean amplitude of upper lip during the lip position at chewing was lower than that of lower lip and mentalis muscle. But the maximal mean amplitude of orbicularis oris and mentalis muscle during the other lip position was not statistically different. 2. In Class III malocclusion, the maximal mean amplitude of upper lip during the lip position at chewing, swallowing and phonation was lower than that of lower lip and mentalis muscle. But the maximal mean amplitude of orbicularis oris and mentalis muscle during the other lip position was not statistically different. 3. Compare to normal occlusion, the Class III malocclusion was showed low maximal mean amplitude of upper lip during rest lip posture and the lip position at swallowing of saliva, and showed great maximal mean amplitude of lower lip and meantalis muscle during the lip position at chewing and phonation. 4. In normal occlusion, the maximal mean amplitude of upper lip during various lip position was not correlated with the length and thickness of upper lip, but the maximal mean amplitude of lower lip during the lip position at chewing and swallowing was positively correlated with the thickness of lower lip. 5. In Class III malocclusion, the maximal mean amplitude of upper lip during rest lip posture was negatively correlated with the thickness of upper lip, and the maximal mean amplitude of lower lip and mentalis muscle during the lip position at chewing and swallowing was positively correlated with the thickness of lower lip and mentalis muscle. But the maximal mean amplitude of orbicularis oris and mentalis muscle during the other lip position was not correlated with the cephalometric measurements of soft tissue. 6. The correlation between the maximal mean amplitude of orbicularis oris and mentalis muscle and cephalometric measurements of incisors was not nearly present. 7. In normal occlusion, the maximal mean amplitude of lower lip and mentalis muscle during the lip position at maximum biting was negatively correlated with the angle between palatal plane and mandibular plane. In Class III malocclusion, the maximal mean amplitude of upper lip, lower lip and mentalis muscle during function was negatively correlated with the length of maxilla, the maximal mean amplitude of upper lip and lower lip during function was negatively correlated with the SNA and SNPo, and the maximal mean amplitude of lower lip during the lip position at chewing was negatively correlated with the ANB.

• Journal of the Korean Statistical Society
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• 제30권2호
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• pp.281-290
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• 2001

Symmetric estimation and recursive mean adjustment are considered to construct tests for the doble unit root hypothesis for both parametric and semiparametric time series models. It is shown that simultaneous application of symmetric estimation and recursive mean adjustment yields the most powerful test. Moreover, size property of the semiparametric test based on the simultaneous application is bet among all semiparametric tests.

• International Journal of Reliability and Applications
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• 제3권2호
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• pp.91-98
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• 2002

A class of life distributions, whose mean residual life keeps stable at its earlier phase and then starts to decrease in time, is proposed to model the life of an element haying survived its burn-in. A strongly consistent estimator and a nonparametric testing procedure are developed to locate the occurrence of the change-point of the mean residual life. Finally, some numerical simulations are employed to be an illustration as well.

• Communications for Statistical Applications and Methods
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• 제2권2호
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• pp.13-19
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• 1995

This paper considers model robust accelerated life test plans for estimating the logmean or percentile of product lige which is exponentially distributed. A linear relationship between the log mean life and the stress is assumed as usual, while the true relationship is quadratic. Optimum plans are then obtained by minimizing asymptotic mean squared error of maximum likelihood estimator of the log mean life.

• 대한수학회논문집
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• 제29권1호
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• pp.205-212
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• 2014

This paper investigates mean square exponential dissipativity of singularly perturbed stochastic delay differential equations. The L-operator delay differential inequality and stochastic analysis technique are used to establish sufficient conditions ensuring the mean square exponential dissipativity of singularly perturbed stochastic delay differential equations for sufficiently small ${\varepsilon}$ > 0. An example is presented to illustrate the efficiency of the obtained results.

• Communications for Statistical Applications and Methods
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• 제20권5호
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• pp.357-366
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• 2013

This paper defines an improvement for estimating the population mean of a study variable using auxiliary information and known values of certain population parameter(s), when there is a non-response in a study as well as on auxiliary variables. Under a simple random sampling without a replacement (SRSWOR) scheme, the mean square error (MSE) of all proposed estimators are obtained and compared with each other. Numerical illustration is also given.