• Title/Summary/Keyword: 비모수 접근법

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Parametric nonparametric methods for estimating extreme value distribution (극단값 분포 추정을 위한 모수적 비모수적 방법)

  • Woo, Seunghyun;Kang, Kee-Hoon
    • The Journal of the Convergence on Culture Technology
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    • v.8 no.1
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    • pp.531-536
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    • 2022
  • This paper compared the performance of the parametric method and the nonparametric method when estimating the distribution for the tail of the distribution with heavy tails. For the parametric method, the generalized extreme value distribution and the generalized Pareto distribution were used, and for the nonparametric method, the kernel density estimation method was applied. For comparison of the two approaches, the results of function estimation by applying the block maximum value model and the threshold excess model using daily fine dust public data for each observatory in Seoul from 2014 to 2018 are shown together. In addition, the area where high concentrations of fine dust will occur was predicted through the return level.

On Testing the First-order Autocorrelation of the Error Term in a Regression Model via Multiple Bayes Factor (다중 베이즈요인에 의한 회귀모형 오차항의 자기상관 검정)

  • 한성실;김혜중
    • The Korean Journal of Applied Statistics
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    • v.12 no.2
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    • pp.605-619
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    • 1999
  • 본 논문은 회귀분석에서 오차항의 1차 자기상관 존재 여부 및 그 값을 검정하는 방법을 베이지안 접근법으로 제안하였다. 이 방법은 모수공간의 다중분할로 인해 얻어진 여러 가설들에 대한 다중결정문제를 다중 베이즈요인에 관한 이론과 일반화 Savage-Dickey 밀도비를 이용한 사후확률 추정법을 합성하여 개발되었다. 이 방법은 기존의 검정법들에서 가능한 검정 뿐 아니라 이들이 해결할 수 없는 자기상관에 대한 다중결정문제에도 사용이 가능한데 그 효용성이 있다. 모의실험을 통하여 제안된 검정법의 유효성을 평가하였다.

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Comparison of parameter estimation methods for time series models in the presence of outliers

  • 조신섭;이재준;김수화
    • The Korean Journal of Applied Statistics
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    • v.5 no.2
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    • pp.255-268
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    • 1992
  • We propose an iterated interpolation approach for the estimation fo time series parameters in the presence of outliers. The proposed approach iterates the parameter estimation stage and the outlier detection stage until no further outliers are detected. For the detection of outliers, interpolation diagnostic is applied, where the atypical observations by the one-step-ahead predictor instead of downweighting is also proposed. The performance of the proposed estimation methods is compared with other robust estimation methods by simulation study. It is observed that the iterated interpolation approach performs reasonably well is general, especially for single AO case and large $\phi$ in absolute values.

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On asymptotics for a bias-corrected version of the NPMLE of the probability of discovering a new species (신종발견확률의 편의보정 비모수 최우추정량에 관한 연구)

  • 이주호
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.341-353
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    • 1993
  • As an estimator of the conditional probability of discovering a new species at the next observation after a sample of certain size is taken, the one proposed by Good(1953) has been most widely used. Recently, Clayton and Frees(1987) showed via simulation that their nonparametric maximum likelihood estimator(NPMLE) has smaller MSE than Good's estimator when the population is relatively nonuniform. Lee(1989) proved that their conjecture is asymptotically true for truncated geometric population distributions. One shortcoming of the NPMLE, however, is that it has a considerable amount of negative bias. In this study we proposed a bias-corrected version of the NPMLE for virtually all realistic population distributions. We also showed that it has a smaller asymptotic MSE than Good's extimator except when the population is very uniform. A Monte Carlo simulation was performed for small sample sizes, and the result supports the asymptotic results.

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Comparing Methods to Select Functional Form in Dichotomous Choice Contingent Valuation Methods (양분선택형 비시장가치평가법에 있어서 함수모형선택을 위한 제 방법론 비교)

  • Lee, Hee-Chan
    • Environmental and Resource Economics Review
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    • v.10 no.1
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    • pp.25-44
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    • 2001
  • 본 논문의 목적은 양분선택질문형 비시장가치평가법을 통한 편익추정에 사용되는 제 함수의 적합성 여부를 검증하기 위해 사용될 수 있는 방법론들을 비교 검토하는 것이다. 여가수렵의 환경적 요인의 변화에 따른 편익추정에 사용된 함수의 적합성을 판단하기 위해 변이계수접근법, 함수설정 오류 테스트, 그리고 비모수접근법 등이 각 함수에 적용되었다. 결과에 따르면, 편익추정에 이용된 세 가지 로짓함수(선형, 로그, 쉐어모형) 모두 적합한 것으로 판정되었다. 주어진 함수형태에 적용된 세 방법론간에 밀접한 일치성을 보였으며 경우에 따라서는 상호보완적이라는 함축성을 보이기도 하였다 이와 같은 결론은 로짓함수로부터 추정된 값들에 Krinsky-Robb 시뮬레이션을 이용하여 구축한 신뢰구간의 함수간 비교를 통해서도 확인되었다. 주어진 환경 시나리오에 대해 각 함수로부터 도출된 평균 추정치의 신뢰구간이 모두 충분히 중복되었기 때문에 편익추정과 관련하여 함수형태간에 유의적 차이가 없음이 입증된 것이다.

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Understanding Bayesian Experimental Design with Its Applications (베이지안 실험계획법의 이해와 응용)

  • Lee, Gunhee
    • The Korean Journal of Applied Statistics
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    • v.27 no.6
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    • pp.1029-1038
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    • 2014
  • Bayesian experimental design is a useful concept in applied statistics for the design of efficient experiments especially if prior knowledge in the experiment is available. However, a theoretical or numerical approach is not simple to implement. We review the concept of a Bayesian experiment approach for linear and nonlinear statistical models. We investigate relationships between prior knowledge and optimal design to identify Bayesian experimental design process characteristics. A balanced design is important if we do not have prior knowledge; however, prior knowledge is important in design and expert opinions should reflect an efficient analysis. Care should be taken if we set a small sample size with a vague improper prior since both Bayesian design and non-Bayesian design provide incorrect solutions.

Non-parametric approach for the grouped dissimilarities using the multidimensional scaling and analysis of distance (다차원척도법과 거리분석을 활용한 그룹화된 비유사성에 대한 비모수적 접근법)

  • Nam, Seungchan;Choi, Yong-Seok
    • The Korean Journal of Applied Statistics
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    • v.30 no.4
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    • pp.567-578
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    • 2017
  • Grouped multivariate data can be tested for differences between two or more groups using multivariate analysis of variance (MANOVA). However, this method cannot be used if several assumptions of MANOVA are violated. In this case, multidimensional scaling (MDS) and analysis of distance (AOD) can be applied to grouped dissimilarities based on the various distances. A permutation test is a non-parametric method that can also be used to test differences between groups. MDS is used to calculate the coordinates of observations from dissimilarities and AOD is useful for finding group structure using the coordinates. In particular, AOD is mathematically associated with MANOVA if using the Euclidean distance when computing dissimilarities. In this paper, we study the between and within group structure by applying MDS and AOD to the grouped dissimilarities. In addition, we propose a new test statistic using the group structure for the permutation test. Finally, we investigate the relationship between AOD and MANOVA from dissimilarities based on the Euclidean distance.

Evaluation of a Hydro-ecologic Model, RHESSys (Regional Hydro-Ecologic Simulation System): Parameterization and Application at two Complex Terrain Watersheds (수문생태모형 RHESSys의 평가: 두 복잡지형 유역에서의 모수화와 적용)

  • Lee, Bo-Ra;Kang, Sin-Kyu;Kim, Eun-Sook;Hwang, Tae-Hee;Lim, Jong-Hwan;Kim, Joon
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.9 no.4
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    • pp.247-259
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    • 2007
  • In this study, we examined the flux of carbon and water using an eco-hydrological model, Regional Hydro-Ecologic Simulation System (RHESSys). Our purposes were to develop a set of parameters optimized for a well-designed experimental watershed (Gwangneung Research Watershed, GN) and then, to test suitability of the parameters for predicting carbon and water fluxes of other watershed with different regimes of climate, topography, and vegetation structure (i.e Gangseonry Watershed in Mt. Jumbong, GS). Field datasets of stream flow, soil water content (SWC), and wood biomass product (WBP) were utilized for model parameterization and validation. After laborious parameterization processes, RHESSys was validated with the field observations from the GN watershed. The parameter set identified at the GN watershed was then applied to the GS watershed in Mt. Jumbong, which resulted in good agreement for SWC but poor predictability for WBP. Our study showed that RHESSys simulated reliable SWC at the GS by adjusting site-specific porosity only. In contrast, vegetation productivity would require more rigorous site-specific parameterization and hence, further study is necessary to identify primary field ecophysiological variables for enhancing model parameterization and application to multiple watersheds.

Prediction of Divided Traffic Demands Based on Knowledge Discovery at Expressway Toll Plaza (지식발견 기반의 고속도로 영업소 분할 교통수요 예측)

  • Ahn, Byeong-Tak;Yoon, Byoung-Jo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.3
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    • pp.521-528
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    • 2016
  • The tollbooths of a main motorway toll plaza are usually operated proactively responding to the variations of traffic demands of two-type vehicles, i.e. cars and the other (heavy) vehicles, respectively. In this vein, it is one of key elements to forecast accurate traffic volumes for the two vehicle types in advanced tollgate operation. Unfortunately, it is not easy for existing univariate short-term prediction techniques to simultaneously generate the two-vehicle-type traffic demands in literature. These practical and academic backgrounds make it one of attractive research topics in Intelligent Transportation System (ITS) forecasting area to forecast the future traffic volumes of the two-type vehicles at an acceptable level of accuracy. In order to address the shortcomings of univariate short-term prediction techniques, a Multiple In-and-Out (MIO) forecasting model to simultaneously generate the two-type traffic volumes is introduced in this article. The MIO model based on a non-parametric approach is devised under the on-line access conditions of large-scale historical data. In a feasible test with actual data, the proposed model outperformed Kalman filtering, one of a widely-used univariate models, in terms of prediction accuracy in spite of multivariate prediction scheme.

A Nonparametric Test on Mean Difference of DEA Efficiency Estimates - Bootstrapping Approach- (DEA의 효율성 평균 차이에 대한 비모수적 검증-부트스트랩 접근법-)

  • 민재형;김진한
    • Journal of the Korean Operations Research and Management Science Society
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    • v.24 no.2
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    • pp.53-68
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    • 1999
  • This paper presents a nonparametric method to test if the mean difference of DEA efficiency estimates between two groups statistically exists. A proposed method employs a bootstrapping approach to generation BCC efficiency estimates through Monte Carlo simulation resampling process. For the purpose of demonstration, we empirically apply the proposed method to the korean bank industry and compare its result with the result by the traditional deterministic DEA method. The nonparametric statistical hypothesis testing procedure in this study, which considers not only stochastic variability of the DEA data, but also random radial deviations off the efficient frontier, serves as a useful tool for dbjectively evaluating whether the mean difference of DEA efficiency estimates between groups is statistically significant.

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