• Title/Summary/Keyword: 일반화우도비검정

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일반화 감마분포에서의 누율계산과 지표모수에 대한 Bartlett 검정

  • 나종화
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.533-540
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    • 1997
  • 일반화 감마분포(generalized gamma distribution)에서 지표모수(index parameter)에 대한 추론은 생존시간(lifetime)과 관련한 모형의 선택문제에서 매우 중요하다. 이에 대한 정확한(exact) 추론법은 알려져 있지 않다. 본 연구에서는 이에 대한 점근적(asymptotic) 검정법으로 소표본에서도 우도비 검정에 비해 효율이 뛰어난 Bartlett 검정을 제안하고, 이의 요율적 수행을 위한 대체 모형으로 부터의 누율계산(cumulant computation) 법을 제시하였다. 또한 실제자료에 대해 본 논문에서 제시한 누율계산과정을 이용하여 Bartlett 검정을 실시한 결과 기존의 우도비 검정과는 상당히 큰 차이가 남을 확인하였다. 따라서 모형의 선택 등의 문제에서 제안된 방법은 소표본의 경우에 더욱 효율적이라 할 수 있다.

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Target Detection Performance in a Clutter Environment Based on the Generalized Likelihood Ratio Test (클러터 환경에서의 GLRT 기반 표적 탐지성능)

  • Suh, Jin-Bae;Chun, Joo-Hwan;Jung, Ji-Hyun;Kim, Jin-Uk
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.30 no.5
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    • pp.365-372
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    • 2019
  • We propose a method to estimate unknown parameters(e.g., target amplitude and clutter parameters) in the generalized likelihood ratio test(GLRT) using maximum likelihood estimation and the Newton-Raphson method. When detecting targets in a clutter environ- ment, it is important to establish a modular model of clutter similar to the actual environment. These correlated clutter models can be generated using spherically invariant random vectors. We obtain the GLRT of the generated clutter model and check its detection probability using estimated parameters.

A Generalized Likelihood Ratio Test in Outlier Detection (이상점 탐지를 위한 일반화 우도비 검정)

  • Jang Sun Baek
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.225-237
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    • 1994
  • A generalized likelihood ratio test is developed to detect an outlier associated with monitoring nuclear proliferation. While the classical outlier detection methods consider continuous variables only, our approach allows both continuous and discrete variables or a mixture of continuous and discrete variables to be used. In addition, our method is free of the normality assumption, which is the key assumption in most of the classical methods. The proposed test is constructed by applying the bootstrap to a generalized likelihood ratio. We investigate the performance of the test by studying the power with simulations.

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The Effects of Dispersion Parameters and Test for Equality of Dispersion Parameters in Zero-Truncated Bivariate Generalized Poisson Models (제로절단된 이변량 일반화 포아송 분포에서 산포모수의 효과 및 산포의 동일성에 대한 검정)

  • Lee, Dong-Hee;Jung, Byoung-Cheol
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.585-594
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    • 2010
  • This study, investigates the effects of dispersion parameters between two response variables in zero-truncated bivariate generalized Poisson distributions. A Monte Carlo study shows that the zero-truncated bivariate Poisson and negative binomial models fit poorly wherein the zero-truncated bivariate count data has heterogeneous dispersion parameters on dependent variables. In addition, we derive the score test for testing the equality of the dispersion parameters and compare its efficiency with the likelihood ratio test.

Testing Independence in Contingency Tables with Clustered Data (집락자료의 분할표에서 독립성검정)

  • 정광모;이현영
    • The Korean Journal of Applied Statistics
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    • v.17 no.2
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    • pp.337-346
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    • 2004
  • The Pearson chi-square goodness-of-fit test and the likelihood ratio tests are usually used for testing independence in two-way contingency tables under random sampling. But both of these tests may provide false results for the contingency table with clustered observations. In this case we consider the generalized linear mixed model which includes random effects of clustering in addition to the fixed effects of covariates. Both the heterogeneity between clusters and the dependency within a cluster can be explained via generalized linear mixed model. In this paper we introduce several types of generalized linear mixed model for testing independence in contingency tables with clustered observations. We also discuss the fitting of these models through a real dataset.

Comparison of Two Dependent Agreements Using Test of Marginal Homogeneity (주변동질성검정법을 이용한 종속된 두 일치도의 비교)

  • Oh, Myong-Sik
    • Communications for Statistical Applications and Methods
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    • v.15 no.4
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    • pp.605-614
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    • 2008
  • Oh (2008) has proposed the one-sided likelihood ratio test of the equality of two agreement measures. However the use of this test may be limited since the computations of test statistic and critical value are not easy. We propose a test for comparing two dependent agreements using some well known tests for marginal homogeneity, for instance, Bhapkar test, Stuart-Maxwell test. Data obtained from 2008 world figure skating championship ladies single is analyzed for illustration purposes.

Detecting an Outlier in 2X2 Bioequivalence Trial (2X2 생물학적 동등성 시험에서 이상치 검출을 위한 통계적 방법)

  • Jeong, Gyu-Jin;Park, Sang-Gue;Woo, Hwa-Hyoung
    • Communications for Statistical Applications and Methods
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    • v.16 no.5
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    • pp.745-751
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    • 2009
  • Outlying or extreme observations are defined to be subject data for which one or more bioavailability measures are discordant with corresponding data for that subject and/or for the rest of the subjects in a study. The presence of outlying observations can have very serious consequences on the conclusions resulting from a bioequivalence study. Two statistical methods are proposed by generalizing the current well known methods and an illustrated example is presented with discussion.

Statistical Techniques to Detect Sensor Drifts (센서드리프트 판별을 위한 통계적 탐지기술 고찰)

  • Seo, In-Yong;Shin, Ho-Cheol;Park, Moon-Ghu;Kim, Seong-Jun
    • Journal of the Korea Society for Simulation
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    • v.18 no.3
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    • pp.103-112
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    • 2009
  • In a nuclear power plant (NPP), periodic sensor calibrations are required to assure sensors are operating correctly. However, only a few faulty sensors are found to be calibrated. For the safe operation of an NPP and the reduction of unnecessary calibration, on-line calibration monitoring is needed. In this paper, principal component-based Auto-Associative support vector regression (PCSVR) was proposed for the sensor signal validation of the NPP. It utilizes the attractive merits of principal component analysis (PCA) for extracting predominant feature vectors and AASVR because it easily represents complicated processes that are difficult to model with analytical and mechanistic models. With the use of real plant startup data from the Kori Nuclear Power Plant Unit 3, SVR hyperparameters were optimized by the response surface methodology (RSM). Moreover the statistical techniques are integrated with PCSVR for the failure detection. The residuals between the estimated signals and the measured signals are tested by the Shewhart Control Chart, Exponentially Weighted Moving Average (EWMA), Cumulative Sum (CUSUM) and generalized likelihood ratio test (GLRT) to detect whether the sensors are failed or not. This study shows the GLRT can be a candidate for the detection of sensor drift.

An Order Statistic-Based Spectrum Sensing Scheme for Cooperative Cognitive Radio Networks in Non-Gaussian Noise Environments (비정규 잡음 환경에서 협력 무선인지 네트워크를 위한 순서 기반 스펙트럼 센싱 기법)

  • Cho, Hyung-Weon;Lee, Youngpo;Yoon, Seokho;Bae, Suk-Neung;Lee, Kwang-Eog
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37A no.11
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    • pp.943-951
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    • 2012
  • In this paper, we propose a novel spectrum sensing scheme based on the order statistic for cooperative cognitive radio network in non-Gaussian noise environments. Specifically, we model the ambient noise as the bivariate isotropic symmetric ${\alpha}$-stable random variable, and then, propose a cooperative spectrum sensing scheme based on the order of observations and the generalized likelihood ratio test. From numerical results, it is confirmed that the proposed scheme offers a substantial performance improvement over the conventional scheme in non-Gaussian noise environments.

A Study on the Application of Generalized Extreme Value Distribution to the Variation of Annual Maximum Surge Heights (연간 최대해일고 변동의 일반화 극치분포 적용 연구)

  • Kwon, Seok-Jae;Park, Jeong-Soo;Lee, Eun-Il
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.3
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    • pp.241-253
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    • 2009
  • This study performs the investigation of a long-term variation of annual maximum surge heights(AMSH) and main characteristics of high surge events, and the statistical evaluation of the AMSH using sea level data at Yeosu and Tongyeong tidal stations over more than 30 years. It is found that the long-term uptrends based on the linear regression in the AMSH are 34.5 cm/34 yr at Yeosu and 33.6 cm/31 yr at Tongyeong, which are relatively much higher than those at Sokcho and Mukho in the Eastern Coast. 71% and 68% of the AMSH occur during typhoon's event in Yeosu and Tongyeong tidal stations, respectively, and the highest surge records are mostly produced by the typhoon. The generalized extreme value distribution taking into account of the time variable is applied to detect time trend in annual maximum surge heights. In addition, Gumbel distribution is checked to find which one is best fitted to the data using likelihood ratio test. The return level and its 90% confidence interval are obtained for the statistical prediction of the future trend. The prevention of the growing storm surge damage by the intensified typhoon requires the steady analysis and prediction of the surge events associated with the climate change.