• 제목/요약/키워드: Curve Estimation Regression

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로지스틱 회귀모형을 이용한 비대칭 종형 확률곡선의 추정 (Estimation of Asymmetric Bell Shaped Probability Curve using Logistic Regression)

  • 박성현;김기호;이소형
    • 응용통계연구
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    • 제14권1호
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    • pp.71-80
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    • 2001
  • 로지스틱 회귀모형은 이항 반응자료에 대한 가장 보편적인 일반화 선형모형으로 독립변수에 대한 확률함수를 추정하는데 이용된다. 많은 실제적 상황에서 확률함수가 종형의 곡선형태로 표현되는데 이 경우에는 2차항을 포함한 로지스틱 회귀모형을 이용한 분석은 대칭성을 갖는 확률함수에 대한 가정으로 인해 비대칭 형태의 종형곡선에서는 확률함수의 신뢰성이 저하되고, 2차항을 포함하기 때문에 독립변수의 효과를 설명하기가 쉽지 않다는 제한점을 가지고 있다. 본 논문에서는 이러한 문제점을 해소하기 위해서 로지스틱 회귀분석과 반복적 이분법을 이용하여 종형의 형태에 관계없이 확률곡선을 추정하는 방법론을 제안하고 모의 실험을 통해 2차항을 포함한 로지스틱 회귀모형과 비교하고자 한다.

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Comparison of Jump-Preserving Smoothing and Smoothing Based on Jump Detector

  • Park, Dong-Ryeon
    • Communications for Statistical Applications and Methods
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    • 제16권3호
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    • pp.519-528
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    • 2009
  • This paper deals with nonparametric estimation of discontinuous regression curve. Quite number of researches about this topic have been done. These researches are classified into two categories, the indirect approach and direct approach. The major goal of the indirect approach is to obtain good estimates of jump locations, whereas the major goal of the direct approach is to obtain overall good estimate of the regression curve. Thus it seems that two approaches are quite different in nature, so people say that the comparison of two approaches does not make much sense. Therefore, a thorough comparison of them is lacking. However, even though the main issue of the indirect approach is the estimation of jump locations, it is too obvious that we have an estimate of regression curve as the subsidiary result. The point is whether the subsidiary result of the indirect approach is as good as the main result of the direct approach. The performance of two approaches is compared through a simulation study and it turns out that the indirect approach is a very competitive tool for estimating discontinuous regression curve itself.

지방부 일반국도 4차로의 화물차 주행속도 예측모형 개발 (A Development of the Operating Speed Estimation Model of Truck on Four-lane Rural Highway)

  • 박민호;이근희
    • 한국도로학회논문집
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    • 제16권5호
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    • pp.173-182
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    • 2014
  • PURPOSES : The purpose of the study is to a) explore the operating speed of trucks on rural highways affected by road geometry, and thereby b) develop a predictive model for the operating speed of trucks on rural highways. METHODS : Considering that most of the existing studies have focused on cars, the current study aimed to predict the operating speed of trucks by conducting linear regression analysis on the speed data of trucks operating on the linear-curved-linear portions of the road as a single set. RESULTS : The operating speed in the plane curve portion increased with the length of the curve, and decreased with a lower vertical grade and a smaller curve radius. In the straight plane portion, the operating speed increased with a larger curve radius(upstream), and decreased with an increase in the change of the vertical grade, depending on the length of the vertical curve. CONCLUSIONS : This study developed estimation models of truck for operational speed and evaluated the degree of safety for horizontal and vertical alignments simultaneous. In order to represent whole area of the rural highway, the models should be ew-analyzed with vast data related with road alignment factor in the near future.

Parameter Estimation and Prediction for NHPP Software Reliability Model and Time Series Regression in Software Failure Data

  • Song, Kwang-Yoon;Chang, In-Hong
    • 통합자연과학논문집
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    • 제7권1호
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    • pp.67-73
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    • 2014
  • We consider the mean value function for NHPP software reliability model and time series regression model in software failure data. We estimate parameters for the proposed models from two data sets. The values of SSE and MSE is presented from two data sets. We compare the predicted number of faults with the actual two data sets using the mean value function and regression curve.

강제환기식 돈사의 환기량 추정을 위한 회귀모델의 비교 (Comparison of Regression Models for Estimating Ventilation Rate of Mechanically Ventilated Swine Farm)

  • 조광곤;하태환;윤상후;장유나;정민웅
    • 한국농공학회논문집
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    • 제62권1호
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    • pp.61-70
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    • 2020
  • To estimate the ventilation volume of mechanically ventilated swine farms, various regression models were applied, and errors were compared to select the regression model that can best simulate actual data. Linear regression, linear spline, polynomial regression (degrees 2 and 3), logistic curve, generalized additive model (GAM), and gompertz curve were compared. Overfitting models were excluded even when the error rate was small. The evaluation criteria were root mean square error (RMSE) and mean absolute percentage error (MAPE). The evaluation results indicated that degree 3 exhibited the lowest error rate; however, an overestimation contradiction was observed in a certain section. The logistic curve was the most stable and superior to all the models. In the estimation of ventilation volume by all of the models, the estimated ventilation volume of the logistic curve was the smallest except for the model with a large error rate and the overestimated model.

An Exploratory Study on the New Product Demand Curve Estimation Using Online Auction Data

  • Shim Seon-Young;Lee Byung-Tae
    • Management Science and Financial Engineering
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    • 제11권3호
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    • pp.125-136
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    • 2005
  • As the importance of time-based competition is increasing, information systems for supporting the immediate decision making is strongly required. Especially high -tech product firms are under extreme pressure of rapid response to the demand side due to relatively short life cycle of the product. Therefore, the objective of our research is proposing a framework of estimating demand curve based on e-auction data, which is extremely easy to access and well reflect the limited demand curve in that channel. Firstly, we identify the advantages of using e-auction data for full demand curve estimation and then verify it using Agent-Eased-Modeling and Tobin's censored regression model.

Comparison of Nonparametric Function Estimation Methods for Discontinuous Regression Functions

  • Park, Dong-Ryeon
    • 응용통계연구
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    • 제23권6호
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    • pp.1245-1253
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    • 2010
  • There are two main approaches for estimating the discontinuous regression function nonparametrically. One is the direct approach, the other is the indirect approach. The major goal of the two approaches are different. The direct approach focuses on the overall good estimation of the regression function itself, whereas the indirect approach focuses on the good estimation of jump locations. Apparently, the two approaches are quite different in nature. Gijbels et al. (2007) argue that the comparison of two approaches does not make much sense and that it is even difficult to choose an appropriate criterion for comparisons. However, it is obvious that the indirect approach also has the regression curve estimate as the subsidiary result. Therefore it is necessary to verify the appropriateness of the indirect approach as the estimator of the discontinuous regression function itself. Park (2009a) compared the performance of two approaches through a simulation study. In this paper, we consider a more general case and draw some useful conclusions.

성장곡선을 이용한 소프트웨어 비용 추정 모델 (A Software Cost Estimation Using Growth Curve Model)

  • 박석규;이상운;박재흥
    • 정보처리학회논문지D
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    • 제11D권3호
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    • pp.597-604
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    • 2004
  • 정확한 소프트웨어 비용 추정은 개발자와 고객 모두에게 중요하다. 대부분의 비움 추정 모델들은 규모 추정으로부터 틴은 라인 수와 기능점수와 같을 규모 측도에 기반을 두고 있다. 규모 추정의 정확도는 비용 추정 정확도에 직접적으로 영향을 미친다. 이에 따라 대부분의 회귀기반 비용추정 모델들은 규모에 기반한 멱함수 형태를 적용하고 있다. 생물의 성장, 기술의 발전과 인간의 학습 능력 등 많은 성장 현상들은 S자 곡선을 따른다. 본 논문은 성장곡선을 이용하여 개발노력을 추정하는 모델을 제시하였다. 제시된 모델은 소프트웨어 규모가 증가함에 따라 소요되는 개발 비용이 성장곡선을 따른다고 가정한다. 일반적인 소프트웨어 규모 추정 기법인 기능점수, 완전기능점수와 유스케이스 점수에 기반하여 성장곡선 모델의 적합성을 검증하였다. 제안된 성장곡선 모델들은 멱함수 모델과 비교 시 상호 견줄만한 성능을 보여 소프트웨어 비용 추정분야에 석용 가능함을 보였다.

Optimal Design for Locally Weighted Quasi-Likelihood Response Curve Estimator

  • Park, Dongryeon
    • Communications for Statistical Applications and Methods
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    • 제9권3호
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    • pp.743-752
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    • 2002
  • The estimation of the response curve is the important problem in the quantal bioassay. When we estimate the response curve, we determine the design points in advance of the experiment. Then naturally we have a question of which design would be optimal. As a response curve estimator, locally weighted quasi-likelihood estimator has several more appealing features than the traditional nonparametric estimators. The optimal design density for the locally weighted quasi-likelihood estimator is derived and its ability both in theoretical and in empirical point of view are investigated.

On the Selection of Bezier Points in Bezier Curve Smoothing

  • Kim, Choongrak;Park, Jin-Hee
    • 응용통계연구
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    • 제25권6호
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    • pp.1049-1058
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    • 2012
  • Nonparametric methods are often used as an alternative to parametric methods to estimate density function and regression function. In this paper we consider improved methods to select the Bezier points in Bezier curve smoothing that is shown to have the same asymptotic properties as the kernel methods. We show that the proposed methods are better than the existing methods through numerical studies.