• Title/Summary/Keyword: empirical process

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Weak Convergence of U-empirical Processes for Two Sample Case with Applications

  • Park, Hyo-Il;Na, Jong-Hwa
    • Journal of the Korean Statistical Society
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    • v.31 no.1
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    • pp.109-120
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    • 2002
  • In this paper, we show the weak convergence of U-empirical processes for two sample problem. We use the result to show the asymptotic normality for the generalized dodges-Lehmann estimates with the Bahadur representation for quantifies of U-empirical distributions. Also we consider the asymptotic normality for the test statistics in a simple way.

CENTRAL LIMT THEOREMS FOR MULTITYPE AGE-DEPENDENT BRANCHING PROCESSES

  • Kang, Hye-Jeong
    • Journal of the Korean Mathematical Society
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    • v.36 no.6
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    • pp.1115-1132
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    • 1999
  • We consider a supercritical multitype age dependent branching process. We define a stochastic process Zf(t) which is a functional of the empirical age distribution. When the limit of the expectation of this functional vanishes we4 find some sufficient conditions for the asymptotic normality of the mean of f with respect to the empirical age distribution at time t.

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An Equilibrium Diffusion Model of Demand and Supply of New Product and Empirical Analysis (신기술 제품의 확산에 관한 수요$\cdot$공급의 균형확산모형과 실증분석)

  • Ha, Tae-Jeong
    • Journal of Technology Innovation
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    • v.13 no.1
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    • pp.113-139
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    • 2005
  • The purpose of this study is to analyse the diffusion process of personal computer (PC) in Korea during the 1990's. To achieve the goal, five research steps have been done such as the literature survey of diffusion theory, set-up of theoretic equilibrium model of supply and demand, derivation of an equilibrium path using Hamiltonian, and empirical analysis. The empirical analysis has been performed based on that equilibrium path. The results can be summarized as follows : First, technological attribute of diffusing product influences the diffusion speed of Product. It has been proven that the size of the network has a significant effect on the diffusion of PC in empirical study Second, supply factors have an important role in the diffusion process. According to the empirical analysis, decreasing cost of production as a result of technological advance promotes the speed of diffusion. This point seems to be manifest theoretically, but existing empirical models have not included supply factors explicitly, Third, it has been found out that expectation of decreasing cost would influence the speed of diffusion negatively as expected ex ante. Theoretically this result is supported by arbitrage condition of purchasing timing.

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A Study on the Efficient Operation Methodology of User Participatory Design for School Facilities (학교건축 사용자 참여디자인의 효율적 운영 방법 연구)

  • Cho, Chang-Hee;Lee, Hwa-Ryong
    • Journal of the Korean Institute of Educational Facilities
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    • v.22 no.1
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    • pp.3-12
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    • 2015
  • The user participatory design process collects users' opinions efficiently through a feedback process such as various user workshops and conferences. When users who actually participated in a design process use the facility in which they were a participant, their satisfaction with the design quality of the facility they use may be enhanced; therefore, user participatory design methods in school construction are deemed to enlarge consistently the interest in a school of students, parents, teachers, and local residents. This paper selected the most appropriate user participatory design methods through an analysis of actually applied cases, and applied them to the empirical exploration process. Also, problems incurred through the empirical exploration process were solved by various user participatory design methods based on actually experienced cases and the results of workshops performed. As such, this paper deduced problems by applying user participatory design methods in practice, and solved problems by executing the empirical exploration process again. Through this, the paper proposed a variety of user participatory design methods for improving school design and raising user satisfaction.

Reactor Coolant Pump Seal Monitoring System Using Statistical Modeling Techniques (통계적모델을 이용한 원자로냉각재펌프 밀봉장치 성능감시)

  • Lee, Song-Kyu;Chung, Chang-Kyu;Bae, Jong-Kil;Ahn, Sang-Ha
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.1386-1390
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    • 2007
  • This paper presents the equipment condition monitoring technology for the process or the equipment using statistical techniques. The equipment condition monitoring system consists of an empirical model to estimate the expected sensor values of process variables and a diagnose model to detect the abnormal condition and to identify the root source of the problem. The empirical model is constructed by the analysis of historic data. The diagnose model uses the sequential probability ratio test (SPRT) technique. The monitoring system was tested with real operating data acquired from the Reactor Coolant Pump Seal in the Nuclear Power Plant. It can detect the system degradation or failure at the early stage since it is able to catch the subtle deviation of process variables from normal condition.

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Asymptotic Relative Efficiency of Chi-squared Type Tests Based on the Empirical Process

  • Lee, Sang-Yeol
    • Journal of the Korean Statistical Society
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    • v.25 no.3
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    • pp.337-346
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    • 1996
  • The chi-squared type statistic generated from the empirical process can be used for testing the goodness of fit hypothesis on iid random sample. Lee (1995) showed that under some conditions, the chi-squared type statistic is asymptotically maximin in the sense of Strasser (1985). Since the chi-squared type statistic depends on the choice of *points in the unit interval, it is worth investigating the points yielding more efficient tests. Motivated by this viewpoint, we are led to study the asymptotic relative efficiency of chi-squared type tests in the same setting of Lee (1995). Some examples are given for illustration.

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A Study on the Efficient Application of Design Indicators to User Participatory Design for School Facilities (학교건축 디자인 지표의 사용자 참여설계 적용에 관한 연구)

  • Cho, Chang-Hee;Oh, Hyoung-Seok;Lee, Hwa-Ryong
    • Journal of the Korean Institute of Educational Facilities
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    • v.20 no.3
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    • pp.3-12
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    • 2013
  • The study explored empirically user participatory design methods for realizing user demand efficiently and evaluating alternatives systematically by using design indicators such as the design quality indicators system of the UK. In the empirical exploratory process utilizing design indicators, the study selected design indicators, and conducted a survey of design realization methods, evaluation methods, and user participatory design utilizing design indicators. Also, concerning the empirical exploratory process, it can be classified into a preliminary survey aimed at those majoring in architecture; a user group survey aimed at elementary school students, parents, and teachers; and a professional group survey aimed at professionals in architecture. In particular, the study carried out the survey for the empirical exploratory process of user participatory design by combining on-line and off-line methods.

A Study on Performance Estimation and Operation Strategy of Biological Aerated Filter Using Semi-Empirical Biofilm Model (준 경험 생물막 모델(Semi-Empirical Biofilm Model)을 이용한 BAF 운전평가 및 적정 운전방안 도출)

  • Yoo, Kwangtae;Kim, Jongrack;Yun, Zuwhan;Hwang, Hojae;Lee, Hansaem;Kim, Sungpyo
    • Journal of Korean Society on Water Environment
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    • v.30 no.3
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    • pp.269-282
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    • 2014
  • The objective of this study is to find out whether the developed semi-empirical biofilm model can be applicable to real BAF pilot-scale wastewater treatment. In addition, the optimum operating conditions of BAF as a function of process variables such as organic loading change can be drawn based on the simulation results of model. The results will provide the economic and efficient BAF process design and operating control. As a result, developed semi-empirical biofilm model which is relatively simple compared to mathematical model can simulate three BAF processes consisted of 25 layers within 1 seconds. When this model was used for simulating real pilot scale BAF process and the simulated water quality values were compared to experimental ones, simulated TCOD, SCOD, TN, $NH_4{^+}$-N, $NO_x{^-}$-N, alkalinity values were different to experimental ones within 21%, 20%, 8.1%, 48%, 10%, and 23%, respectively. Therefore, if the BAF system was equipped with automatic control, the BAF process can be better efficiently adapted under the condition of significant change of influent loading.

Empirical Modeling of Fouling Rate of Milk Pasteurization Process : A case study

  • Budiati, Titik;Wahyono, Nanang Dwi;Hefni, Muh.
    • International journal of advanced smart convergence
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    • v.4 no.1
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    • pp.11-17
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    • 2015
  • Fouling in heat exchanger becomes a major problem of dairy industry and it increases the production cost. These are lost productivity, additional energy, additional equipment, chemical, manpower, and environmental impact. Fouling also introduces the risk of food safety due to the improper heating temperature which allow the survival of pathogenic bacteria in milk, introducing biofilm formation of pathogenic bacteria in equipments and spreading the pathogenic bacteria to milk. The aim of this study is to determine the fouling rate during pasteurization process in heat exchanger of pasteurized milk produced by Village Cooperative Society (KUD) "X" in Malang, East Java Indonesia by using empirical modeling. The fouling rate is found as $0.3945^{\circ}C/h$ with the heating process time ranged from 0 to 2 hours and temperature difference (hot water inlet temperature and milk outlet temperature) ranged from 0.654 to $1.636^{\circ}C$. The fouling rate depends on type and characteristics of heat exchangers, time and temperature of process, milk type, age of milk, seasonal variations, the presence of microorganism and more. This results will be used to plan Cleaning In Place (CIP) and to design the control system of pasteurization process in order to maintain the milk outlet temperature as standard of pasteurization.