• Title/Summary/Keyword: Akaike의 정보기준

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Using the corrected Akaike's information criterion for model selection (모형 선택에서의 수정된 AIC 사용에 대하여)

  • Song, Eunjung;Won, Sungho;Lee, Woojoo
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.119-133
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    • 2017
  • Corrected Akaike's information criterion (AICc) is known to have better finite sample properties. However, Akaike's information criterion (AIC) is still widely used to select an optimal prediction model among several candidate models due to of a lack of research on benefits obtained using AICc. In this paper, we compare the performance of AIC and AICc through numerical simulations and confirm the advantage of using AICc. In addition, we also consider the performance of quasi Akaike's information criterion (QAIC) and the corrected quasi Akaike's information criterion (QAICc) for binomial and Poisson data under overdispersion phenomenon.

LOGIT 분석과 AHP 분석을 이용한 부도예측모형의 비교연구

  • Woo, Chun-Sik;Kim, Kwang-Yong;Kang, Seong-Beom
    • The Korean Journal of Financial Management
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    • v.14 no.2
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    • pp.229-252
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    • 1997
  • 본 연구에서는 실무 및 학계에 종사하는 45명의 전문가 집단을 대상으로 쌍별비교(pairwise comparision)에 의한 설문조사에서 얻어진 전문가들의 의견을 AHP 분석을 통하여 종합하는 과정을 거쳐 부도예측모형을 설계하여 검증한 뒤, LOGIT모형과 비교하였다. 본 연구에 의하면 부도예측모형에서 정량적인 정보보다 정성적인 정보가 더 중요한 역할을 한다는 D.Bunn-G.Wright(1991)의 연구와 일치하는 결과를 얻을 수 있었다. 본 연구에서 발견된 분석결과를 요약하면 다음과 같다. 첫째로 LOGIT 모형과 AHP 모형에서 모두 정량적인 정보만을 고려하는 경우보다 정성적인 정보를 함께 고려한 모형에서 부도예측율이 더 높은 것으로 나타나고 있어 부도가능성을 예측하는데 있어 정성적인 정보가 중요한 역할을 한다는 결론을 얻었다. 둘째로 AHP를 이용한 부도예측 모형을 설계할 때 각 속성에 대한 전문가(45명)들의 의견을 종합하는 방법으로 산술평균과 기하평균을 이용한 검증결과에 의하면 기하평균방법을 통하여 전문가들의 의견을 종합하는 것이 보다 합리적이라는 실증적 증거를 얻을 수 있었다. 셋째로 Akaike의 기준값을 분석한 결과에 의하면 LOGIT 모형은 정량적인 정보와 정성적인 정보를 모두 이용한 모형이 가장 우수한 것으로 판명되었고, 모형의 부도예측력도 가장 높은 것으로 밝혀졌다. AHP 모형은 정성적인 정보만을 이용한 모형에서 가장 높은 부도예측을을 나타내었으며, 기하평균을 이용한 AHP 모형은 LOGIT 모형보다 항상 높은 부도예측율을 보여주었다.

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AIC & MDL Algorithm Based on Beamspace, for Efficient Estimation of the Number of Signals (효율적인 신호개수 추정을 위한 빔공간 기반 AIC 및 MDL 알고리즘)

  • Park, Heui-Seon;Hwang, Suk-Seung
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.4
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    • pp.617-624
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    • 2021
  • The accurate estimation of the number of signals included in the received signal is required for the AOA(: Angle-of-Arrival) estimation, the interference suppression, the signal reception, etc. AIC(: Akaike Information Criterion) and MDL(: Minimum Description Length) algorithms, which are known as the typical algorithms to estimate the signal number, estimate the number of signals according to the minimum of each criterion. As the number of antenna elements increased, the estimation performance is enhanced, but the computational complexity is increased because values of criteria for entire antenna elements should be calculated for finding their minimum. In order to improve this problem, in this paper, we propose AIC and MDL algorithms based on the beamspace, which efficiently estimate the number of signals while reducing the computational complexity by reducing the dimension of an array antenna through the beamspace processing. In addition, we provide computer simulation results based on various scenarios for evaluating and analysing the estimation performance of the proposed algorithms.

Target Length Estimation of Target by Scattering Center Number Estimation Methods (산란점 수 추정방법에 따른 표적의 길이 추정)

  • Lee, Jae-In;Yoo, Jong-Won;Kim, Nammoon;Jung, Kwangyong;Seo, Dong-Wook
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.38 no.6
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    • pp.543-551
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    • 2020
  • In this paper, we introduce a method to improve the accuracy of the length estimation of targets using a radar. The HRRP (High Resolution Range Profile) obtained from a received radar signal represents the one-dimensional scattering characteristics of a target, and peaks of the HRRP means the scattering centers that strongly scatter electromagnetic waves. By using the extracted scattering centers, the downrange length of the target, which is the length in the RLOS (Radar Line of Sight), can be estimated, and the real length of the target should be estimated considering the angle between the target and the RLOS. In order to improve the accuracy of the length estimation, parametric estimation methods, which extract scattering centers more exactly than the method using the HRRP, can be used. The parametric estimation method is applied after the number of scattering centers is determined, and is thus greatly affected by the accuracy of the number of scattering centers. In this paper, in order to improve the accuracy of target length estimation, the number of scattering centers is estimated by using AIC (Akaike Information Criteria), MDL (Minimum Descriptive Length), and GLE (Gerschgorin Likelihood Estimators), which are the source number estimation methods based on information theoretic criteria. Using the ESPRIT algorithm as a parameter estimation method, a length estimation simulation was performed for simple target CAD models, and the GLE method represented excellent performance in estimating the number of scattering centers and estimating the target length.

Flood Frequency Analysis Considering Probability Distribution and Return Period under Non-stationary Condition (비정상성 확률분포 및 재현기간을 고려한 홍수빈도분석)

  • Lee, Sang-Ho;Kim, Sang Ug;Lee, Yeong Seob;Kim, Hyeong Bae
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.610-610
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    • 2015
  • 수공구조물의 설계에서는 홍수빈도분석을 통해 산정된 특정 재현기간에서의 확률수문량이 설계기준으로 사용된다. 그러나 최근 기후변화로 인해 이상기후 현상이 심해짐에 따라 수문기상자료의 정상성을 가정하는 기존의 홍수빈도분석은 변화되는 수문현상을 적절히 표현하지 못하는 경우가 많다. 본 연구에서는 확률분포의 모수가 시간에 따라 변화하는 비정상성 빈도분석기법을 적용하였으며 확률분포의 모수들을 최우추정법으로 추정하였다. 또한, 분위수 추정과정에서도 비정상성을 고려하여 정상성 가정에서 산정된 재현기간 및 위험도와 비교분석하였다. 확률분포는 GEV 분포를 사용하여 정상성 및 비정상성 모형 4개를 구축하였다. 특히, 비정상성 모형은 위치모수만 선형 경향성을 가지는 경우, 규모모수만 선형경향성을 가지는 경우, 위치 및 규모모수가 선형경향성을 가지는 경우의 3가지로 구분하여 적용하였다. 구축된 4개의 모형 중 적합모형을 선정하기 위해 우도비 검정과 Akaike 정보기준을 사용하였으며 적합모형선정 절차를 체계적으로 구축하고 적용하여 적합모형을 선정하였다. 본 연구에서 구축된 비정상성 홍수빈도분석 기법은 우리나라의 8개 다목적댐 (충주댐, 소양강댐, 안동댐, 임하댐, 합천댐, 대청댐, 섬진강댐, 주암댐)으로부터 취득된 과거 관측 댐 유입량을 대상으로 하여 적용되었다. 우도비 검정과 Akaike 정보기준을 이용한 적합 모형 선정 결과 합천댐과 섬진강댐이 비정상성 GEV 모형에 적합한 것으로 분석되었고, 나머지 지점의 다목적댐들은 정상성 모형에 적합한 것으로 분석되었다. 합천댐과 섬진강댐의 경우 비정상성 가정에서 산정된 재현기간이 정상성 가정에서 산정된 재현기간보다 매우 작게 산정되었으며 확률수문량과 위험도는 크게 산정되었다. 적합모형으로 정상성 모형이 선정된 6개의 다목적댐 중 소양강댐은 Mann-Kendall 비모수 경향성 검정 결과 유의하지는 않지만 비교적 큰 선형경향성을 가지고 있었다. 비록 비정상성 모형이 적합모형으로 선정되지는 않았지만 소양강댐에 비정상성 모형을 가정하여 재현기간과 확률수문량, 위험도를 분석한 결과 정상성 모형 가정에서 산정한 결과와 상당한 차이가 있었다. 이와 같은 결과는 수문자료의 정상성과 비정상성을 고려한 홍수빈도분석이 향후 수공구조물의 설계에 있어서 신뢰성 있는 확률수문량을 결정하는데 도움이 될 것으로 판단된다.

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The Development of Biomass Model for Pinus densiflora in Chungnam Region Using Random Effect (임의효과를 이용한 충남지역 소나무림의 바이오매스 모형 개발)

  • Pyo, Jungkee;Son, Yeong Mo
    • Journal of Korean Society of Forest Science
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    • v.106 no.2
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    • pp.213-218
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    • 2017
  • The purpose of this study was to develop age-biomass model in Chungnam region containing random effect. To develop the biomass model by species and tree component, data for Pinus densiflora in central region is collected to 30 plots (150 trees). The mixed model were used to fixed effect in the age-biomass relation for Pinus densiflora, with random effect representing correlation of survey area were obtained. To verify the evaluation of the model for random effect, the akaike information criterion (abbreviated as, AIC) was used to calculate the variance-covariance matrix, and residual of repeated data. The estimated variance-covariance matrix, and residual were -1.0022, 0.6240, respectively. The model with random effect (AIC=377.2) has low AIC value, comparison with other study relating to random effects. It is for this reason that random effect associated with categorical data were used in the data fitting process, the model can be calibrated to fit the Chungnam region by obtaining measurements. Therefore, the results of this study could be useful method for developing biomass model using random effects by region.

Flood Frequency Analysis Considering Probability Distribution and Return Period under Non-stationary Condition (비정상성 확률분포 및 재현기간을 고려한 홍수빈도분석)

  • Kim, Sang Ug;Lee, Yeong Seob
    • Journal of Korea Water Resources Association
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    • v.48 no.7
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    • pp.567-579
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    • 2015
  • This study performed the non-stationary flood frequency analysis considering time-varying parameters of a probability density function. Also, return period and risk under non-stationary condition were estimated. A stationary model and three non-stationary models using Generalized Extreme Value(GEV) were developed. The only location parameter was assumed as time-varying parameter in the first model. In second model, the only scale parameter was assumed as time-varying parameter. Finally, the both parameters were assumed as time varying parameter in the last model. Relative likelihood ratio test and Akaike information criterion were used to select appropriate model. The suggested procedure in this study was applied to eight multipurpose dams in South Korea. Using relative likelihood ratio test and Akaike information criterion it is shown that the inflow into the Hapcheon dam and the Seomjingang dam were suitable for non-stationary GEV model but the other six dams were suitable for stationary GEV model. Also, it is shown that the estimated return period under non-stationary condition was shorter than those estimated under stationary condition.

The Analysis of the Number of Donations Based on a Mixture of Poisson Regression Model (포아송 분포의 혼합모형을 이용한 기부 횟수 자료 분석)

  • Kim In-Young;Park Su-Bum;Kim Byung-Soo;Park Tae-Kyu
    • The Korean Journal of Applied Statistics
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    • v.19 no.1
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    • pp.1-12
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    • 2006
  • The aim of this study is to analyse a survey data on the number of charitable donations using a mixture of two Poisson regression models. The survey was conducted in 2002 by Volunteer 21, an nonprofit organization, based on Koreans, who were older than 20. The mixture of two Poisson distributions is used to model the number of donations based on the empirical distribution of the data. The mixture of two Poisson distributions implies the whole population is subdivided into two groups, one with lesser number of donations and the other with larger number of donations. We fit the mixture of Poisson regression models on the number of donations to identify significant covariates. The expectation-maximization algorithm is employed to estimate the parameters. We computed 95% bootstrap confidence interval based on bias-corrected and accelerated method and used then for selecting significant explanatory variables. As a result, the income variable with four categories and the volunteering variable (1: experience of volunteering, 0: otherwise) turned out to be significant with the positive regression coefficients both in the lesser and the larger donation groups. However, the regression coefficients in the lesser donation group were larger than those in larger donation group.

The Use of Joint Hierarchical Generalized Linear Models: Application to Multivariate Longitudinal Data (결합 다단계 일반화 선형모형을 이용한 다변량 경시적 자료 분석)

  • Lee, Donghwan;Yoo, Jae Keun
    • The Korean Journal of Applied Statistics
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    • v.28 no.2
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    • pp.335-342
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    • 2015
  • Joint hierarchical generalized linear models proposed by Molas et al. (2013) extend the simple longitudinal model into multiple models fitted jointly. It can easily handle the correlation of multivariate longitudinal data. In this paper, we apply this method to analyze KoGES cohort dataset. Fixed unknown parameters, random effects and variance components are estimated based on a standard framework of h-likelihood theory. Furthermore, based on the conditional Akaike information criterion the correlated covariance structure of random-effect model is selected rather than an independent structure.

Mesh Selectivity of Durm Net Fish Trap for Elkhorn sculpin(Alcichthys alcicornis) in the Eastern Sea of Korea (동해의 장구형 통발에 대한 빨간횟대 (Alcichthys alcicornis)의 망목선택성)

  • Park, Hae-Hoon;Jeong, Eui-Cheol;An, Heui-Chun;Park, Chang-Doo;Kim, Hyun-Young;Bae, Jae-Hyun;Cho, Sam-Kwang;Baik, Chul-In
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.40 no.4
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    • pp.247-254
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    • 2004
  • The mesh selectivity of the drum net fish trap for elkhorn sculpin(Alcichthys alcicornis) in the estern sea of Korea was described. The selection curve for the elkhorn sculpin caught from the experiments between June 2003 and December 2003 was by SELECT(Share Each Length Class's Catch Total)model and by Kitahaa's method to a polynomial equation and two parameter logistic selection curve. The selection curve by SELECT model showed to be equal probability of entrance of the elkhorn sculpin in the large(55mm) and small(20mm) mesh traps by minimum AIC (Akaike Information Criteria). The equation of selectivity curve obtained by Kitahara's method using a logistic function with least square method was $s(R)\;=\;\frac{1}{1+exp(-0.3545R+2.141)$, where R=1/m, and/and m are total length and mesh size, respectively. The mesh selectivity curve showed that the current regulated mesh size(35mm) for the trap was corresponded to 21.4cm in the $L_{50}$of the selection curve for the elkhorn sculpin.