• Title/Summary/Keyword: 경험분포

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Multivariate empirical distribution plot and goodness-of-fit test (다변량 경험분포그림과 적합도 검정)

  • Hong, Chong Sun;Park, Yongho;Park, Jun
    • The Korean Journal of Applied Statistics
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    • v.30 no.4
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    • pp.579-590
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    • 2017
  • The multivariate empirical distribution function could be defined when its distribution function can be estimated. It is known that bivariate empirical distribution functions could be visualized by using Step plot and Quantile plot. In this paper, the multivariate empirical distribution plot is proposed to represent the multivariate empirical distribution function on the unit square. Based on many kinds of empirical distribution plots corresponding to various multivariate normal distributions and other specific distributions, it is found that the empirical distribution plot also depends sensitively on its distribution function and correlation coefficients. Hence, we could suggest five goodness-of-fit test statistics. These critical values are obtained by Monte Carlo simulation. We explore that these critical values are not much different from those in text books. Therefore, we may conclude that the proposed test statistics in this work would be used with known critical values with ease.

Multivariate empirical distribution functions and descriptive methods (다변량 경험분포함수와 시각적인 표현방법)

  • Hong, Chong Sun;Park, Jun;Park, Yong Ho
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.1
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    • pp.87-98
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    • 2017
  • The multivaiate empirical distribution function (MEDF) is defined in this work. The MEDF's expectation and variance are derived and we have shown the MEDF converges to its real distribution function. Based on random samples from bivariate standard normal distribution with various correlation coefficients, we also obtain MEDFs and propose two kinds of graphical methods to visualize MEDFs on two dimensional plane. One is represented with at most n stairs with similar arguments as the step function, and the other is described with at most n curves which look like bivariate quantile vector. Even though these two descriptive methods could be expressed with three dimensional space, two dimensional representation is obtained with ease and it is enough to explain characteristics of bivariate distribution functions. Hence, it is possible to visualize trivariate empirical distribution functions with three dimensional quantile vectors. With bivariate and four variate illustrative examples, the proposed MEDFs descriptive plots are obtained and explored.

On a robust analysis of variance based on winsorization (윈저화를 이용한 로버스트 분산분석)

  • 성내경
    • The Korean Journal of Applied Statistics
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    • v.8 no.1
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    • pp.119-131
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    • 1995
  • Based on Monte-Carlo simulation results we propose a robust analysis of variance procedure by utilizing trimmed mean and Winsorized variance. We deal with mainly the one-way classification case. We evaluate the empirical distribution of a pseudo-F statistic based on symmetrically Winsorized sum of squares when the population is normally distributed.

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Power Comparison between Methods of Empirical Process and a Kernel Density Estimator for the Test of Distribution Change (분포변화 검정에서 경험확률과정과 커널밀도함수추정량의 검정력 비교)

  • Na, Seong-Ryong;Park, Hyeon-Ah
    • Communications for Statistical Applications and Methods
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    • v.18 no.2
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    • pp.245-255
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    • 2011
  • There are two nonparametric methods that use empirical distribution functions and probability density estimators for the test of the distribution change of data. In this paper we investigate the two methods precisely and summarize the results of previous research. We assume several probability models to make a simulation study of the change point analysis and to examine the finite sample behavior of the two methods. Empirical powers are compared to verify which is better for each model.

Empirical Bayesian Prediction Analysis on Accelerated Lifetime Data (가속수명자료를 이용한 경험적 베이즈 예측분석)

  • Cho, Geon-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.1
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    • pp.21-30
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    • 1997
  • In accelerated life tests, the failure time of an item is observed under a high stress level, and based on the time the performances of items are investigated at the normal stress level. In this paper, when the mean of the prior of a failure rate is known in the exponential lifetime distribution with censored accelerated failure time data, we utilize the empirical Bayesian method by using the moment estimators in order to estimate the parameters of the prior distribution and obtain the empirical Bayesian predictive density and predictive intervals for a future observation under the normal stress level.

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A Stochastic Combat Simulation Model with Heterogeneous Weapon Systems (확률과정을 따르는 혼합 무기체계 전투시뮬레이션 모델)

  • Chung, Yong-Hun;Hong, Yoon-Gee
    • Journal of the Korea Society for Simulation
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    • v.18 no.1
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    • pp.53-62
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    • 2009
  • The real data obtained from field exercises has a crucial role in modeling and simulation of a combat or a wargame. This becomes an important input especially in analyzing weapon systems realization. Many existing models have been using the mean value of the time between each fire. The firing data can be incorporated into a known probability distribution or used directly as an empirical distribution. Data of field exercises are very useful instead of the real combat outcomes. This study finds a new modeling approach and techniques to compare the data with the previously generated outcomes. This fundamental research work will continue to consider more of the various weapon systems, the sizes, and other tactical aspects.

Analysis of Salinity Distribution at the tidal reach of Han River Using RAMS (RAMS를 이용한 한강 감조구간에서의 염도 분포 해석)

  • Seo, Il-Won;Song, Chang-Geun;Park, Sung-Won
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.1689-1693
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    • 2008
  • 서해안은 최대 조석 차 9 m 이상의 세계적으로 손꼽히는 반일조 지역이므로 염수가 신곡수중 보까지 치고 올라오는 것으로 알려져 있으나 한강 하구부에서의 흐름 및 염도분포 해석에 관한 연구는 지형적 군사적 특성 상 많이 진행되지 못했다. 본 연구에서는 2차원 하천해석 프로그램인 RAMS를 적용하여 신곡수중보 하류로부터 유도지점까지의 염도 분포 및 염수 길이를 해석하고 경험식을 이용해 수치모의 결과를 검증하였다. 염수가 최상류까지 치고 올라갈 수 있는 조건으로 최대조위와 최소유량을 가지는 시점을 택해 염도분포 농도를 계산하였으며 하류단인 유도지점의 염도를 인천검조소 실측값으로부터 전이하기 위해 이송분산방정식의 연속주입 해석해를 이용하였다. 염도분포의 최선단부는 장항 IC 부근으로 최대 역류 발생 위치와 같은 지점이었으며 정상염수 쐐기 경험식에 의해 염수의 길이를 해석한 결과와도 일치하였다.

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The effects of Work Experience during Higher Education on Employment (대학 재학 중 근로 경험이 취업에 미치는 영향 분석)

  • Song, Youngsook
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.2
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    • pp.287-293
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    • 2017
  • The purpose of the study was to analyze the effects of work experience during higher education on employment. In particular, the study analyzed the difference in employment and permanent employment according to work experience or internship. In addition, the effects of the relatedness of college major and work experience as well as internship on college graduates' employment or permanent employment were investigated. The data came from the 2013 Graduates Occupational Mobility Survey (GOMS). The study covered the chi-square test and logistic regression analysis. The study found that there was a significant difference in the employment and permanent employment among the groups classified by work experience or internship. Internship had a positive effect on college graduates' permanent employment. Based on the study results, this study suggests that policies for internship during higher education need to be enhanced. The match between employment and the field of study in college needs to be increased. Interventions and policies for the establishment of competency-based employment should be improved.

Nonparametric empirical bayes estimation of a distribution function with respect to dirichlet process prior in case of the non-identical components (분포함수의 추정및 응용에 관한연구(Dirichlet Process에 의한 비모수 결정이론을 중심으로))

  • 정인하
    • The Korean Journal of Applied Statistics
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    • v.6 no.1
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    • pp.173-181
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    • 1993
  • Nonparametric empirical Bayes estimation of a distribution function with respect to dirichlet process prior is considered when sample sizes are varying from component to component. Zehnwirth's estimate of $\alpha$(R) is modified to be used in our empirical Bayes problem with non-identical components.

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On the behavior od Winsorized $x^2$ (윈저화 $x^2$의 양태에 대하여)

  • 성내경
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.1-7
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    • 1994
  • Using a Monte-Carlo simulation technique we evaluate the empiricla distribution of a pseudo-chi-square statistic based on symmetrically Winsorized sum of squares when the population is normally distributed, and search for a chi-square distribution with appropriate degrees of freedom which can be referred to an approximate distribution for Winsorized chi-square.

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