• Title/Summary/Keyword: Information criterion

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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.

Testing for A Change Point by Model Selection Tools in Linear Regression Models

  • Yoon, Yong-Hwa;Kim, Jong-Tae;Cho, Kil-Ho;Shin, Kyung-A
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.655-665
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    • 2000
  • Several information criterions, Schwarz information criterion (SIC), Akaike information criterion (AIC), and the modified Akaike information criterion ($AIC_c$), are proposed to locate a change point in the multiple linear regression model. These methods are applied to a stock Exchange data set and compared to the results.

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On Information Criteria in Linear Regression Model

  • Park, Man-Sik
    • The Korean Journal of Applied Statistics
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    • v.22 no.1
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    • pp.197-204
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    • 2009
  • In the model selection problem, the main objective is to choose the true model from a manageable set of candidate models. An information criterion gauges the validity of a statistical model and judges the balance between goodness-of-fit and parsimony; "how well observed values ran approximate to the true values" and "how much information can be explained by the lower dimensional model" In this study, we introduce some information criteria modified from the Akaike Information Criterion (AIC) and the Bayesian Information Criterion(BIC). The information criteria considered in this study are compared via simulation studies and real application.

Bayesian Hypothesis Testing for the Ratio of Exponential Means

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.4
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    • pp.1387-1395
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    • 2006
  • This paper considers testing for the ratio of two exponential means. We propose a solution based on a Bayesian decision rule to this problem in which no subjective input is considered. The criterion for testing is the Bayesian reference criterion (Bernardo, 1999). We derive the Bayesian reference criterion for testing the ratio of two exponential means. Simulation study and a real data example are provided.

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Probability Estimation of Snow Damage on Sugi (Cryptomeria japonica) Forest Stands by Logistic Regression Model in Toyama Prefecture, Japan

  • Kamo, Ken-Ichi;Yanagihara, Hirokazu;Kato, Akio;Yoshimoto, Atsushi
    • Journal of Forest and Environmental Science
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    • v.24 no.3
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    • pp.137-142
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    • 2008
  • In this paper, we apply a logistic regression model to the data of snow damage on sugi (Cryptomeria japonica) occurred in Toyama prefecture (in Japan) in 2004 for estimating the risk probability. In order to specify the factors effecting snow damage, we apply a model selection procedure determining optimal subset of explanatory variables. In this process we consider the following 3 information criteria, 1) Akaike's information criterion, 2) Baysian information criterion, 3) Bias-corrected Akaike's information criterion. For the selected variables, we give a proper interpretation from the viewpoint of natural disaster.

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Optimum Conditions of Adaptive Equalizers Based on Zero-Error Probability (영확률에 기반한 적응 이퀄라이져의 최적조건)

  • Kim, Namyong;Lee, Gyoo-Yeong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.40 no.10
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    • pp.1865-1870
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    • 2015
  • In signal processing, the zero-error probability (ZEP) criterion and related algorithm (MZEP) outperforms MSE-based algorithms and yields superior and stable convergence in impulsive noise environment. In this paper, the analysis of the relationship with MSE criterion proves that ZEP criterion has equivalent optimum solution of MSE criterion. Also this work reveals that the magnitude controlled input of MZEP algorithm plays the role in keeping the optimum solution undisturbed from impulsive noise.

Modified information criterion for testing changes in generalized lambda distribution model based on confidence distribution

  • Ratnasingam, Suthakaran;Buzaianu, Elena;Ning, Wei
    • Communications for Statistical Applications and Methods
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    • v.29 no.3
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    • pp.301-317
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    • 2022
  • In this paper, we propose a change point detection procedure based on the modified information criterion in a generalized lambda distribution (GLD) model. Simulations are conducted to obtain empirical critical values of the proposed test statistic. We have also conducted simulations to evaluate the performance of the proposed methods comparing to the log-likelihood method in terms of power, coverage probability, and confidence sets. Our results indicate that, under various conditions, the proposed method modified information criterion (MIC) approach shows good finite sample properties. Furthermore, we propose a new goodness-of-fit testing procedure based on the energy distance to evaluate the asymptotic null distribution of our test statistic. Two real data applications are provided to illustrate the use of the proposed method.

Decision Criterion for Weak M-ary Signals: Part 1. The Criterion and Decison Regions (약한 다진 신호에 알맞은 결정 기준: 1부. 결정 기준과 결정 영역)

  • Park, So-Ryoung;Koo, Jin-Kyu;Oh, Jong-Ho;Kwon, Hyoung-Moom;Song, Iick-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.9A
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    • pp.705-713
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    • 2005
  • A novel decision criterion for weak M-ary signals is proposed in this paper. In the sense of minimizing the error probability, the proposed decision criterion is optimum when the signal strength approaches zero. In Part 1, the proposed detection criterion is proposed and investigated in detail, some interesting properties of the proposed decision criterion are described, and examples of decision regions are obtained. Based on the proposed detection criterion, a detection scheme for ultra wideband multiple access systems is investigated in the presence of impulsive interference in Part 2.

A Study on the P Wave Arrival Time Determination Algorithm of Acoustic Emission (AE) Suitable for P Waves with Low Signal-to-Noise Ratios (낮은 신호 대 잡음비 특성을 지닌 탄성파 신호에 적합한 P파 도달시간 결정 알고리즘 연구)

  • Lee, K.S.;Kim, J.S.;Lee, C.S.;Yoon, C.H.;Choi, J.W.
    • Tunnel and Underground Space
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    • v.21 no.5
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    • pp.349-358
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    • 2011
  • This paper introduces a new P wave arrival time determination algorithm of acoustic emission (AE) suitable to identify P waves with low signal-to-noise ratio generated in rock masses around the high-level radioactive waste disposal repositories. The algorithms adopted for this paper were amplitude threshold picker, Akaike Information Criterion (AIC), two step AIC, and Hinkley criterion. The elastic waves were generated by Pencil Lead Break test on a granite sample, then mixed with white noise to make it difficult to distinguish P wave artificially. The results obtained from amplitude threshold picker, AIC, and Hinkley criterion produced relatively large error due to the low signal-to-noise ratio. On the other hand, two step AIC algorithm provided the correct results regardless of white noise so that the accuracy of source localization was more improved and could be satisfied with the error range.