• Title/Summary/Keyword: 비모수 모형

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불규칙한 관측주기를 갖는 지하수자료를 이용한 지하수위 변동의 시계열 분석

  • 이명재;이강근
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2000.11a
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    • pp.64-68
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    • 2000
  • 장기간 관측된 지하수위 자료를 시계열분석 중의 하나인 전이함수 모형(Transfer Function - Noise model)을 이용하여 분석하였다. 일반적으로 전이함수 모형은 입력 변수와 출력변수와의 관계가 선형적일 때 적용이 가능하며, 자료가 시간에 대해 연속적으로 존재해야 하는 제한이 있다. 강수량과 지하수위의 변동은 비선형적인 관계를 가지고 있어 이러한 전이함수 모형을 직접 적용하는데는 어려움이 있다. 이러한 비선형성의 정도를 감소시키기 위해 물리모형(HYDRUS)을 이용하여 침투량을 계산하고 이를 입력변수로 사용하여 전이함수 모형을 적용하였다. 침투량을 입력변수로 모형을 추정하였을 때, 강수량을 직접 입력자료로 사용했을 경우보다 ME(mean error), RMSE(root-mean-squre error), MAE(mean absolute error)에서 상대적으로 작은 값을 보여주고 있다. TFN 모형의 모수를 추정하기 위해서 Kalman 필터 알고리즘과 최우추정법(Maximum Likelihood Estimation)을 이용하였다. Kalman 필터 알고리즘을 이용하여 불규칙한 관측주기를 갖는 시계열이나 결측값이 있는 시계열에 대해서도 전이함수 모형을 구하였으며, 이를 통해 결측값에 대한 추정이 가능하였다.

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Semiparametric Approach to Logistic Model with Random Intercept (준모수적 방법을 이용한 랜덤 절편 로지스틱 모형 분석)

  • Kim, Mijeong
    • The Korean Journal of Applied Statistics
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    • v.28 no.6
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    • pp.1121-1131
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    • 2015
  • Logistic models with a random intercept are useful to analyze longitudinal binary data. Traditionally, the random intercept of the logistic model is assumed to be parametric (such as normal distribution) and is also assumed to be independent to variables. Such assumptions are very strong and restricted for application to real data. Recently, Garcia and Ma (2015) derived semiparametric efficient estimators for logistic model with a random intercept without these assumptions. Their estimator shows the consistency where we do not assume any parametric form for the random intercept. In addition, the method is computationally simple. In this paper, we apply this method to analyze toenail infection data. We compare the semiparametric estimator with maximum likelihood estimator, penalized quasi-likelihood estimator and hierarchical generalized linear estimator.

Comparing the efficiency of dispersion parameter estimators in gamma generalized linear models (감마 일반화 선형 모형에서의 산포 모수 추정량에 대한 효율성 연구)

  • Jo, Seongil;Lee, Woojoo
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.95-102
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    • 2017
  • Gamma generalized linear models have received less attention than Poisson and binomial generalized linear models. Therefore, many old-established statistical techniques are still used in gamma generalized linear models. In particular, existing literature and textbooks still use approximate estimates for the dispersion parameter. In this paper we study the efficiency of various dispersion parameter estimators in gamma generalized linear models and perform numerical simulations. Numerical studies show that the maximum likelihood estimator and Cox-Reid adjusted maximum likelihood estimator are recommended and that approximate estimates should be avoided in practice.

Estimation of the joint conditional distribution for repeatedly measured bivariate cholesterol data using nonparametric copula (비모수적 코플라를 이용한 반복측정 이변량 자료의 조건부 결합 분포 추정)

  • Kwak, Minjung
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.3
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    • pp.689-700
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    • 2016
  • We study estimation and inference of the joint conditional distributions of bivariate longitudinal outcomes using regression models and copulas. For the estimation of marginal models we consider a class of time-varying transformation models and combine the two marginal models using nonparametric empirical copulas. Regression parameters in the transformation model can be obtained as the solution of estimating equations and our models and estimation method can be applied in many situations where the conditional mean-based models are not good enough. Nonparametric copulas combined with time-varying transformation models may allow quite flexible modeling for the joint conditional distributions for bivariate longitudinal data. We apply our method to an epidemiological study of repeatedly measured bivariate cholesterol data.

A Study on the Reliability Attributes of the Software Reliability Model Following the Shape Parameter of Minimax Life Distribution (미니맥스 수명분포의 형상모수를 따르는 소프트웨어 신뢰모형에 관한 신뢰속성에 관한 연구)

  • Kim, Hee-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.4
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    • pp.325-330
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    • 2018
  • This paper, following the shape parameters of the minimax distribution, describes the special form of the beta distribution, the Minimax distribution, as a function of the shape parameters for the software reliability model based on the non-homogeneous Poisson process. Characteristics and usefulness were discussed. As a result, the case of the shape parameter 1 of Minimax distribution than less than and greate in mean squared error is the smallest, in determination coefficient, appears to be high, the shape parameter 1 of Minimax distribution regard as an efficient model. The estimated determination coefficient of the proposed model is estimated to be more than 95%, which is a useful model in the field of software reliability. Through this study, software design and users can identify the software failure characteristics using mean square error, decision coefficient, and confidence interval can be used as a basic guideline.

Development of Urban Freeway Traffic Simulation Model (URFSIM-1 : 도시고속도로 교통류 시뮬레이션 모형 개발)

  • 강정규
    • Journal of Korean Society of Transportation
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    • v.15 no.1
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    • pp.85-103
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    • 1997
  • 국내 도시교통에서 도시고속도로가 차지하는 비중은 급증하고 있으나 이의 효율적 인 운영은 아직 초보수준인 실정이다. 도시고속도로의 운영전략이나 기하구조 설계대안을 개발·분석·평가하는데 시뮬레이션 모형을 활용하는 것은 필수적이나 외국에서 개발된 모형 을 국내에 적용하는 데에는 많은 제약이 따르고 있다. 따라서 본 연구는 국내 현실에 적합 한 도시고속도로 교통류 시뮬레이션 모형을 개발하려는데 그 목적이 있으며 연속 교통류 모 형의 개발, 모수추정 방법의 제시, 컴퓨터 코딩, 모형평가의 세부작업이 수행되었다. URFSIM-1은 각 구간에서 통행목적지별 차량 수를 추적할 수 있는 통행수요모형 기능에 구 간내 이동을 동적으로 기술할 수 있는 거시적 교통류 모형을 결합한 것을 기본 교통류 모형 으로 채택하고 있다. 비선형 최소 자승법에 의해 교통류 모형 모수와 O-D 모수를 추정하는 방법이 제시되었다. 마지막으로 유고상황을 가상한 정성분석과 미국 도시고속도로에서 수집 한 현장자료를 이용한 모형의 평가를 시행하였다.

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A study comparison of mortality projection using parametric and non-parametric model (모수와 비모수 모형을 활용한 사망률 예측 비교 연구)

  • Kim, Soon-Young;Oh, Jinho
    • The Korean Journal of Applied Statistics
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    • v.30 no.5
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    • pp.701-717
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    • 2017
  • The interest of Korean society and government on future demographic structures is increasing due to rapid aging. Korea's mortality rate is decreasing, but the declined gap is variable. In this study, we compare the Lee-Carter, Lee-Miller, Booth-Maindonald-Smith model and functional data model (FDM) as well as Coherent FDM using non-parametric smoothing technique. We are then examine a reasonable model for projecting on mortality declined rate trend in terms of accuracy of mortality rate by ages and life expectancy. The possibility of using non-parametric techniques for the prediction of mortality in Korea was also examined. Based on the analysis results, FDM and Coherent FDM, which uses the non-parametric technique and reflects the trend of recent data, are excellent. As a result, FDM and Coherent FDM are good fit, and predictability is also excellent assuming no significant future changes.

Nonparametric Multiple Comparison Procedure Using Alignment Method Under Randomized Block Design (랜덤화 블록 모형에서 정렬 방법을 이용한 비모수 다중비교법)

  • Han, Ji-Ung;Kim, Dong-Jae
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.555-564
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    • 2006
  • Friedman rank-sum multiple comparison procedure is often applied to nonparametric multiple comparison method under randomized block design. Since this method does not use between-block information, we propose, in this paper, nonparametric multiple comparison procedures employing aligned method suggested by Hedges and Lehmann(1962) under randomized block design. The proposed procedure and Friedman procedure are compared by Monte Carlo simulation study.

A nonparametric detector for random signals in a multiplicative noise model (곱셈꼴 잡음모형에서 비모수 확률 신호 검파기)

  • 배진수;박정순;김광순;송익호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.4
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    • pp.796-804
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    • 1998
  • Multiplicative noise is known to be useful in modeling multipath propagation, which is crucial in mobile communication systems analysis. In this paper, nonparametric detection of weak random signals in multiplicative noise is considered. The locally optimum detector based on signs and ranks of observations isderived for good weak-signal detection performance under any noise probability density function. the detector has similarities to the locally optimum detector for random signals in multiplicative noise. It is shown that the nonparametric detector asymptotically hs almost the same performance as the locally optimum detector.

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Nonparametric procedures based on aligned method and placement for ordered alternatives in randomized block design (랜덤화 블록 모형에서 정렬방법과 위치를 이용한 순서형 대립가설에 대한 비모수 검정법)

  • Kim, Hyosook;Kim, Dongjae
    • The Korean Journal of Applied Statistics
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    • v.29 no.4
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    • pp.707-717
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    • 2016
  • Nonparametric procedures in a randomized block design was proposed by Friedman (1937) as a general alternative as well as suggested as a test for ordered alternatives by Page (1963). These methods are used for the rank of treatments in each block. In this paper, we proposed nonparametric procedures using aligned method proposed by Hodges and Lehmann (1962) to reduce among block information and based on placement suggested by Kim (1999) in a randomized block design. We also perform a Monte Carlo study to compare the empirical powers of the proposed procedures and established method.