• Communications for Statistical Applications and Methods
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• 제18권4호
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• pp.485-493
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• 2011

The proportional likelihood ratio order is an extension of the likelihood ratio order for the non-negative absolutely continuous random variables. In addition, the Lindley distribution has been over looked as a mixture of two exponential distributions due to the popularity of the exponential distribution. In this paper, we first recalled the above concepts and then obtained various properties of the Lindley distribution due to the proportional likelihood ratio order. These results are more general than the likelihood ratio ordering aspects related to this distribution. Finally, we discussed the proportional likelihood ratio ordering in view of the weighted version of the Lindley distribution.

• 대한수학교육학회지:학교수학
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• 제19권2호
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• pp.229-248
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• 2017

본 연구는 초등 수학에서 비례식과 비례배분 지도 시 고려해야 할 사항에 대해 문헌고찰을 통해 알아보고, 이를 바탕으로 국내외 수학 교과서의 비례식과 비례배분 관련 내용을 종적 횡적으로 비교 분석하여 비례식과 비례배분의 적절한 지도 방안을 모색하는 것을 주요 내용으로 한다. 구체적으로 종적 분석을 위해 국내의 5차부터 2009 개정 교육과정까지의 수학 교과서를, 횡적 분석을 위해 일본, 싱가포르, 중국 수학 교과서를 연구 대상으로 선정하였다. 각각의 교과서에 제시된 비례식과 비례배분 관련 학습 요소 및 지도 순서, 용어의 정의, 개념의 도입 맥락, 도입 시 사용된 시각적 표현을 기준으로 분석을 실시하였다. 그 결과, 비례식과 비례배분 정의의 선수 학습과의 연결, 비례식과 비례배분의 도입 시 맥락과 지도 순서의 세심한 고려, 다양한 시각적 표현의 사용, 실생활 맥락 속에서 문제 해결 기회 확대의 필요 등 차기 교과서의 비례식과 비례배분 단원 구성을 위한 몇 가지 시사점을 도출하였다.

• 한국환경과학회지
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• 제22권12호
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• pp.1599-1610
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• 2013

In order to verify the healing effect in the variety of effects according to fountain type, anion which is the representatives factor of healing, as the center of case studies which in Gwanghwamun(Ground fountain), Cheonggyecheon(Waterfall) and Myeongdong(Formative fountain). According to fountain type, the anion distribution as follow, figures typically$ 15,721{\pm}419ea/cm^3$, Formative fountain $40,190{\pm}788ea/cm^3$, Waterfall $4.480{\pm}290ea/cm^3$ and ground fountain $2.492{\pm}180ea/cm^3$. It is usually exceed to the distribution in natural green, which is $1070{\sim}2100ea/cm^3$. The interrelation between air temperature, relative humidity, wind speed and relative humidity, and wind speed is that, the relative humidity is directly proportional to wind speed and inversely proportional to temperature. As the temperature goes up, the distribution of anion goes down. And as the wind speed and relative humidity goes up, the distribution of anion decrease sharply. The result of interrelation between fountain type and the anion distribution is that, the distance of water falling is directly proportional to the anion distribution in the formative fountain and inversely proportional in the ground fountain. And the distribution of anion is largest in formative fountain. The distribution of anion in ground fountain is lower than in formative fountain, but it is far more than in natural greenery. And as the distance from fountain increase, the distribution of anion goes down.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제25권1호
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• pp.57-79
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• 2022

본 연구에서 초등 교과서의 비와 비율 단원 및 비례식과 비례배분 단원에서 비와 비례 개념과 관련하여 제시된 활동을 분석하여 교과서에 제시된 비례추론 과제가 교육과정별로 어떠한지 알아보았다. 비와 비율 단원에 제시된 비례추론 과제가 2009 개정 때에는 비와 비율의 곱셈 구조 유형과 비례추론 활동이 모두 늘어 내용이 다양해졌지만, 백분율의 곱셈 구조 유형과 비례추론 활동은 모두 약화되었다. 2015 개정 때에도 둘 다 약화되었고, 백분율의 곱셈 구조 유형과 비례 추론 활동은 모두 늘어 내용이 다양해졌다. 비례식과 비례배분 단원에 제시된 비례추론 과제가 2009 개정 시기에는 비의 성질의 곱셈 구조 유형과 비례추론 활동이 모두 증가하여 내용이 다양해졌지만, 비례식과 비례배분은 곱셈 구조 유형만 늘고 비례추론 활동에는 큰 변화가 없어 이전과 내용이 비슷했다. 그리고 2015 개정 시기에 비례식의 곱셈 구조 유형과 비례추론 활동이 모두 늘어 내용이 다양해졌지만, 비의 성질과 비례배분은 곱셈 구조의 유형과 비례추론 활동에 큰 변화가 없어 이전 내용과 비슷하였다. 비와 비율 단원과 비례식과 비례배분 단원에서 모두 다중 묶음 관점에 따라 측정 공간 내의 분석으로 해석하려는 시도가 주로 있었다.

• Communications for Statistical Applications and Methods
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• 제17권4호
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• pp.527-540
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• 2010

규칙기반 분류분석(rule-based classification analysis)은 직관적인 이해가 쉽고 알고리즘이 복잡하지 않아 최근 대용량 데이터마이닝에 많이 이용되는 기법이다. 하지만 현재의 규칙기반 분석은 여러 개의 규칙들을 찾은후 이 규칙들을 단순히 다수결이나 또는 중요도의 가중 합으로서 새로운 데이터를 분류한다. 본 연구에서는 다항분포를 이용한 이항데이터의 분류분석 기법을 규칙 조합방법에 응용하고자한다. 다향분포의 추정을 위해서는 변형된 반복 비율 적합(iterative proportional fitting; IPF) 알고리즘을 이용하여 최대 엔트로피 분포(entropy distribution)를 찾는다. 시뮬레이션 실험 결과 이 방법은 두 집단의 데이터가 서로 유사한 경우 어느 정도 의미 있는 분류 결과를 보여주였다.

• 산업경영시스템학회지
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• 제27권2호
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• pp.102-113
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• 2004

This paper addresses the transportation planning that is based on genetic algorithm for determining transportation time and transportation amount of minimizing cost of distribution system. The vehicle routing of minimizing the transportation distance of vehicle is determined. A distribution system is consisted of a distribution center and many retailers. The model is assumed that the time horizon is discrete and finite, and the demand of retailers is dynamic and deterministic. Products are transported from distribution center to retailers according to transportation planning. Cost factors are the transportation cost and the inventory cost, which transportation cost is proportional to transportation distance of vehicle when products are transported from distribution center to retailers, and inventory cost is proportional to inventory amounts of retailers. Transportation time to retailers is represented as a genetic string. The encoding of the solutions into binary strings is presented, as well as the genetic operators used by the algorithm. A mathematical model is developed. Genetic algorithm procedure is suggested, and a illustrative example is shown to explain the procedure.

• 산업경영시스템학회지
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• 제27권4호
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• pp.23-32
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• 2004

This paper addresses a model for the transportation planning that determines the transportation cycle time and the vehicle size to minimize the cost in a distribution system. The vehicle routing to minimize the transportation distance of the vehicles is also determined. A distribution system is consisted of a distribution center and many retailers. Products are transported from distribution center to retailers according to transportation planning. A model is assumed that the time horizon is continuous and infinite, and the demand of retailers is constant and deterministic. Cost factors are the transportation cost and the inventory cost, which the transportation cost is proportional to the transportation distance of vehicle when products are transported from distribution center to retailers, and the inventory cost is proportional to inventory amounts of retailers. A transportation cycle time and a vehicle size are selected among respective finite alternatives. The problem is analyzed, and a illustrative example is shown.

• Journal of the Korean Statistical Society
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• 제31권4호
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• pp.509-518
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• 2002

This paper is concerned with semiparametric Bayesian analysis of the proportional intensity regression model of the Poisson process for multiple event time data. A nonparametric prior distribution is put on the baseline cumulative intensity function and a usual parametric prior distribution is given to the regression parameter. Also we allow heterogeneity among the intensity processes in different subjects by using unobserved random frailty components. Gibbs sampling approach with the Metropolis-Hastings algorithm is used to explore the posterior distributions. Finally, the results are applied to a real data set.

• Nonlinear Functional Analysis and Applications
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• 제28권3호
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• pp.793-800
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• 2023

In this paper, we propose a generalization of Lindley distribution (GLD) via a special structure that is concern with progressively Type-II right censoring and time failure data. We study the modern properties that we have built by such combination, for example, survival function, hazard function, moments, and estimation by non-Bayesian methods. Application on some selected data related to Lindley distribution (LD) and (ED) have been employed to find out the best distribution that can fit data comparing with the GLD.

• 한국환경보건학회지
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• 제47권4호
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• pp.303-309
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• 2021

Background: Humidifier disinfectant is a biocidal product used in the water tanks of humidifiers to prevent the growth of microorganisms. Although there are a huge number of cases of reported humidifier disinfectant-related health effects across the entire Korean population, their numbers are distributed differently depending on the region. Objectives: This study aimed to investigate the regional distribution of enrollment cases who reported humidifier disinfectant-related health effects. Methods: This study used data on 6,240 subjects who experienced humidifier disinfectant-related health effects and who enrolled their cases which is conducted by the Korea Ministry of Environment. We examined the regional distribution of the enrolled cases based on sixteen administrative divisions and assessed the: 1) crude number; 2) proportional rate; and 3) age-standardized proportional rate of enrollment by region. Results: When we examined the crude number of enrollments by region, the highest number were in Gyeonggi-do Province (n=1,896), followed in order by Seoul (n=1,405), Incheon (n=436) Busan, Daegu, Gyeongsangnam-do Province, Daejeon, Chungcheongnam-do Province, Gyeongsangbuk-do Province, Jeollabuk-do Province, Gwangju, Chungcheongbuk-do Province, Gangwon-do Province, Jeollanam-do Province, Ulsan, and Jeju-do. When we examined proportional rate of the regional enrollment (cases per 100,000 population), Daejeon (n=16.2) was the region with the highest rate, followed in order by Gyeonggi-do Province (n=16.1), Incheon-do Province (n=15.9), Seoul, Daegu, Gwangju, Jeollabuk-do Province, Chungcheongnam-do Province, Busan, Chungcheongbuk-do Province, Gangwon-do Province, Gyeongsanbuk-do Province, Gyeongsangnam-do Province, Ulsan, Jeju-do, and Jeollanam-do Province, which is inconsistent with the order in terms of crude numbers. However, when we examined the age-standardized proportional rate of regional enrollment (cases per 100,000 population), their ranked distribution is consistent with the crude rate. Conclusions: This study observed that the regional distribution of the enrolled cases who reported humidifier disinfectant-related health effects is inconsistent with the regional distribution of the proportional rate of enrollment cases, which may be caused in part by the volume of the inherent population of each region.