• Title/Summary/Keyword: cluster random measure

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ON THE LARGE DEVIATION PROPERTY OF RANDOM MEASURES ON THE d-DIMENSIONAL EUCLIDEAN SPACE

  • Hwang, Dae-Sik
    • Communications of the Korean Mathematical Society
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    • v.17 no.1
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    • pp.71-80
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    • 2002
  • We give a formulation of the large deviation property for rescalings of random measures on the d-dimensional Euclidean space R$^{d}$ . The approach is global in the sense that the objects are Radon measures on R$^{d}$ and the dual objects are the continuous functions with compact support. This is applied to the cluster random measures with Poisson centers, a large class of random measures that includes the Poisson processes.

ON THE MODERATE DEVIATION TYPE FOR RANDOM AMOUNT OF SOME RANDOM MEASURES

  • Hwang, Dae Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.2
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    • pp.19-27
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    • 2001
  • In this paper we study another kind of the large deviation property, i.e. moderate deviation type for random amount of random measures on $R^d$ about a Poisson point process and a Poisson center cluster random measure.

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Scaling Limits for Associated Random Measures

  • Kim, Tae-Sung;Hahn, Kwang-Hee
    • Journal of the Korean Statistical Society
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    • v.21 no.2
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    • pp.127-137
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    • 1992
  • In this paper we investigate scaling limits for associated random measures satisfying some moment conditions. No stationarity is required. Our results imply an improvement of a central limit theorem of Cox and Grimmett to associated random measure and an extension to the nonstationary case of scaling limits of Burton and Waymire. Also we prove an invariance principle for associated random measures which is an extension of the Birkel's invariance principle for associated process.

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LIMIT THEOREM FOR ASSOCIATED RANDOM MEASURES

  • Ru, Dae-Hee
    • Journal of applied mathematics & informatics
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    • v.3 no.1
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    • pp.89-100
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    • 1996
  • In this paper we investigate a limit theorem for a non-statioary d-parameter array of associated random variables applying the criterion of the tightness condition in Donsker, M[1951]. Our re-sults imply an extension to the nonstatioary case of Convergence of Probability Measure of billingsley. P[1986]. and analogous results for the d-dimensional associated random measure. These results are also applied to show a new limit theorem for Poisson cluster random mea-sures.

A GENERALIZATION OF THE INTRACLASS CORRELATION IN CLUSTER SAMPLING

  • KIM KYU-SEONG
    • Journal of the Korean Statistical Society
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    • v.34 no.3
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    • pp.185-195
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    • 2005
  • This article is concerned with the intraclass correlation in survey sampling. From a design-based viewpoint the intraclass correlation is generalized to a finite population with unequal sized clusters. Under simple random cluster sampling the intraclass correlation is given in an explicit form, which is a generalization of the usual one. The range of it is found and the design effect is expressed by means of it. An example is given to compare the intraclass correlation with the homogeneity measure numerically, which shows that two measures are not the same except some limited cases.

CENTRAL LIMIT THEOREM FOR ASSOCIATED RANDOM VARIABLE

  • Ru, Dae-Hee
    • Journal of applied mathematics & informatics
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    • v.1 no.1
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    • pp.31-42
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    • 1994
  • In this paper we investigate an functional central limit theorem for a nonstatioary d-parameter array of associated random variables applying the crite-rion of the tightness condition in Bickel and Wichura[1971]. Our results imply an extension to the nonstatioary case of invariance principle of Burton and Kim(1988) and analogous results for the d-dimensional associated random measure. These re-sults are also applied to show a new functional central limit theorem for Poisson cluster random variables.

A LAW OF ITERATED LOGARITHM FOR OCCUPATION TIME BROWNIAN IN ι$_2$

  • Cho, Nhan-Sook
    • Communications of the Korean Mathematical Society
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    • v.14 no.3
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    • pp.569-579
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    • 1999
  • We consider a random measure defined by the occupation time of Brownian motion in $l_2$. If it is normalized ${\lambda}^2$log then we show that its cluster set as ${\lambda}{longrightarrow}\infty$ can be represented by Ι-function on $\sigma$-finite measure in $l_2$.

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Simulation Analysis for Configuring Web Clusters (웹 클러스터 구성을 위한 시뮬레이션 분석)

  • Kang, Sung-Yeol;Song, Young-Hyo
    • Journal of Digital Convergence
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    • v.6 no.2
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    • pp.117-125
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    • 2008
  • High-volume web sites often use clusters of servers with load balancing as a way to increase the performance, scalability, and availability of the sites. Load balancing, usually performed by load balancer in front of such clusters, is a technique to spread workload between several computers or resources, in order to get optimal resource utilization or response time. In this paper we examine the performance for several configurations of cluster-based web servers using a simulation approach. We investigate two types of buffering scheme (common and local) for web clusters and three load balancing policies (uniformly random, round robin, and least queue first), using response time as a performance measure. We also examine two basic approaches of scaling web clusters: adding more servers of same type or upgrading the capacity of the servers in the clusters.

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A Research on the Service Environment Evaluation Elements for Development of the Silver Town (실버타운 개발을 위한 서비스환경 평가요인에 관한 연구)

  • Ha, Jeung-Soon;Kwak, Jae-Yong
    • Journal of the Korean housing association
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    • v.18 no.5
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    • pp.143-150
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    • 2007
  • The purpose of this research is to example the general trend of the service environment evaluation of the silver town and classify based on the service environment evaluation to suggest a effective method and alternatives fur development companies. The survey population of this study focused on 40s and 50s' middle aged both genders living in the Seoul and national capital region, we used random sampling method. The analytical methods used in this study were frequency, mean, standard deviation, factor analysis, Chi-Squae analysis, ANOVA, cluster Analysis, post-hoc estimation (Duncan test), To verify the reliability of each measure, Cronbach's alpha coefficient was used. As a result of classifying the environment evaluation elements, it was classified into 5 groups for the differentiating strategy on each group. The groups are: life support service type, medical and health support service type, cultural support service type, indifference type, and food support service type.

Relationships of smoking, Stress and Social Support of High School Students (고등학생 흡연과 스트레스 및 사회적 지지와의 관련성)

  • Lee, Eun-Hyun;Song, Mi-Sook;Lee, Soon-Young;Kim, Jee-Yoon;Chun, Ki-Hong
    • Journal of Preventive Medicine and Public Health
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    • v.36 no.2
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    • pp.131-136
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    • 2003
  • Objectives : The purpose of the present study was to explore a possible interaction effect of stress and social support on the smoking status and identify smoking related factors of high school students, Methods : A cross-sectional design was used for this study. A total of 1,251 high school students from Gyeonggi-do were selected using stratified-proportional random cluster sampling methods, The participants completed a set of questionnaires to measure their smoking status, stress, social support and sociodemographic information, The obtained data were analyzed using descriptive statistics, $x^2$-tests and hierarchical logistic regressions. Results : The interaction effect of stress and social support on smoking status was not supported. However, stress, sex, types of school, parent's smoking and friends' smoking were significantly predicted the smoking status of the high school students. Conclusions : In relation to the prevention of adolescents' smoking, it is recommended to decrease the stress levels of students, to make adolescents' parents cease smoking, and to educate adolescents on how to refuse the temptation to smoke or pressure from their smoking friend.