• Title/Summary/Keyword: 모수적 밀도함수 추정

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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.

Nonparametric Bayesian Statistical Models in Biomedical Research (생물/보건/의학 연구를 위한 비모수 베이지안 통계모형)

  • Noh, Heesang;Park, Jinsu;Sim, Gyuseok;Yu, Jae-Eun;Chung, Yeonseung
    • The Korean Journal of Applied Statistics
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    • v.27 no.6
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    • pp.867-889
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    • 2014
  • Nonparametric Bayesian (np Bayes) statistical models are popularly used in a variety of research areas because of their flexibility and computational convenience. This paper reviews the np Bayes models focusing on biomedical research applications. We review key probability models for np Bayes inference while illustrating how each of the models is used to answer different types of research questions using biomedical examples. The examples are chosen to highlight the problems that are challenging for standard parametric inference but can be solved using nonparametric inference. We discuss np Bayes inference in four topics: (1) density estimation, (2) clustering, (3) random effects distribution, and (4) regression.

Log-density estimation based on a Fourier expansion (푸리에 전개에 기초한 로그밀도추정)

  • 구자용;이기원;박현숙
    • The Korean Journal of Applied Statistics
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    • v.10 no.1
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    • pp.137-149
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    • 1997
  • In this paper we propose a logdensity estimation based on a Fourier expansion. The basis functions consisting of trigonometric functions are determinded by stepwise addition and deletion and the Bayes Information Criterion, where the maximum likelihood method is used to estimate the parameters. Numericla examples using real data and simulated data are provided to show the performance of proposed method.

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Automatic Identification of the Lumen Border in Intravascular Ultrasound Images (혈관 내 초음파 영상에서 내강 경계면 자동 분할)

  • Park, Jun-Oh;Ko, Byoung-Chul;Park, Hee-Jun;Nam, Jae-Yeal
    • The KIPS Transactions:PartB
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    • v.19B no.3
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    • pp.201-208
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    • 2012
  • Accurately segmenting lumen border in intravascular ultrasound images (IVUS) is very important to study vascular wall architecture for diagnosis of the cardiovascular diseases. After each of IVUS image is transformed to a polar coordinated image, initial points are detected using wavelet transform. Then, lumen border is initialized as the set of important points using non parametric probability density function and smoothing function by removing outlier initial points occurred by noises and artifacts. Finally, polynomial curve fitting is applied to obtain real lumen border using filtered important points. The evaluation of proposed method was performed with related method and the proposed method produced accurate lumen contour detection when compared to another method in most types of IVUS images.

A simulation study on projection pursuit discriminant analysis (투사지향방법에 의한 판별분석의 모의실험분석)

  • 안윤기;이성석
    • The Korean Journal of Applied Statistics
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    • v.5 no.1
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    • pp.103-111
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    • 1992
  • The projection pursuit method has been gussested as a technique for the analysis of the multivariate data. This method seeks out interesting linear projections of the multivariate data onto a line of a plane to solve the curse or dimensionality. In this paper we developed the discriminant analysis by using the projection method and simulations were used for comparison between this and other existing discriminant analysis methods.

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The Nonparametric Estimation of Interest Rate Model and the Pricing of the Market Price of Interest Rate Risk (비모수적 이자율모형 추정과 시장위험가격 결정에 관한 연구)

  • Lee, Phil-Sang;Ahn, Seong-Hark
    • The Korean Journal of Financial Management
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    • v.20 no.2
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    • pp.73-94
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    • 2003
  • In general, the interest rate is forecasted by the parametric method which assumes the interest rate follows a certain distribution. However the method has a shortcoming that forecasting ability would decline when the interest rate does not follow the assumed distribution for the stochastic behavior of interest rate. Therefore, the nonparametric method which assumes no particular distribution is regarded as a superior one. This paper compares the interest rate forecasting ability between the two method for the Monetary Stabilization Bond (MSB) market in Korea. The daily and weekly data of the MSB are used during the period of August 9th 1999 to February 7th 2003. In the parametric method, the drift term of the interest rate process shows the linearity while the diffusion term presents non-linear decline. Meanwhile in the nonparametric method, both drift and diffusion terms show the radical change with nonlinearity. The parametric and nonparametric methods present a significant difference in the market price of interest rate risk. This means in forecasting the interest rate and the market price of interest rate risk, the nonparametric method is more appropriate than the parametric method.

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Density estimation of summer extreme temperature over South Korea using mixtures of conditional autoregressive species sampling model (혼합 조건부 종추출모형을 이용한 여름철 한국지역 극한기온의 위치별 밀도함수 추정)

  • Jo, Seongil;Lee, Jaeyong
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.5
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    • pp.1155-1168
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    • 2016
  • This paper considers a probability density estimation problem of climate values. In particular, we focus on estimating probability densities of summer extreme temperature over South Korea. It is known that the probability density of climate values at one location is similar to those at near by locations and one doesn't follow well known parametric distributions. To accommodate these properties, we use a mixture of conditional autoregressive species sampling model, which is a nonparametric Bayesian model with a spatial dependency. We apply the model to a dataset consisting of summer maximum temperature and minimum temperature over South Korea. The dataset is obtained from University of East Anglia.

On the Estimation of Satisfaction Distribution for Game Factors (게임요소의 만족도분포 추정에 관한 연구)

  • Yum, Joon-Keun;Ham, Hyung-Bum
    • Journal of Korea Game Society
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    • v.8 no.3
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    • pp.23-30
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    • 2008
  • To strengthen the competitiveness of the game industry, one needs to develope a tool for evaluation of the satisfaction level of the game users, which leads to the improvement of the quality of games and increment of the amount of game trade. In this study, we developed factors to measure the satisfaction level and estimate their distributional properties. For the purpose, using a survey data for RPG games, we discussed several aspects for normalization of score distribution for satisfaction factors and estimated their density function by use of parametric density estimation of SAS/INSIGHT. We believe that the proposed results help us to predict or estimate the satisfaction level of newly developed games as well as the current popular games.

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Probability Density Function of the Tidal Residuals in the Korean Coast (한반도 연안 조위편차의 확률밀도함수)

  • Cho, Hong-Yeon;Kang, Ju-Whan
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.24 no.1
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    • pp.1-9
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    • 2012
  • Tidal residual is being an important factor by the influence of the climate change in terms of the coastal safety and defense. It is one of the most important factor for the determination of the reference sea level in order to check the safety and performance of the coastal structures in company with the typhoon intensity variation. The probability density function (pdf) of tidal residuals in the Korean coasts have a non-ignorable skewness and high kurtosis. It is highly restricted to the application of the normal pdf assumption as an approximated pdf of tidal residuals. In this study, the pdf of tidal residuals estimated using the Kernel function is suggested as a more reliable and accurate pdf of tidal residuals than the normal function. This suggested pdf shows a good agreement with the empirical cumulative distribution function and histogram. It also gives the more accurate estimation result on the extreme values in comparison with the results based on the normal pdf assumption.

Posterior density estimation of Kappa via Gibbs sampler in the beta-binomial model (베타-이항 분포에서 Gibbs sampler를 이용한 평가 일치도의 사후 분포 추정)

  • 엄종석;최일수;안윤기
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.9-19
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    • 1994
  • Beta-binomial model, which is reparametrized in terms of the mean probability $\mu$ of a positive deagnosis and the $\kappa$ of agreement, is widely used in psychology. When $\mu$ is close to 0, inference about $\kappa$ become difficult because likelihood function becomes constant. We consider Bayesian approach in this case. To apply Bayesian analysis, Gibbs sampler is used to overcome difficulties in integration. Marginal posterior density functions are estimated and Bayesian estimates are derived by using Gibbs sampler and compare the results with the one obtained by using numerical integration.

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