• 제목/요약/키워드: observed Fisher information

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Information Matrix에 따른 Generalized Logistic 분포의 최우도 추정량 정확도에 관한 연구 (A Study on the Accuracy of the Maximum Likelihood Estimator of the Generalized Logistic Distribution According to Information Matrix)

  • 신홍준;정영훈;허준행
    • 한국수자원학회논문집
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    • 제42권4호
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    • pp.331-341
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    • 2009
  • 본 연구에서는 generalized logistic(GL) 분포의 최우도 추정량(maximum likelihood estimate)에 대한 불확실성 추정을 위하여 사용되는 관측정보행렬(observed information matrix)과 Fisher 정보행렬(Fisher information matrix)의 정확도를 비교해 보고자 하였다. 타 분포형에 대한 기존의 연구결과에서 표본의 크기가 클 경우 매개변수 추정시 관측정보행렬이 동시에 추정되어 계산시간도 단축되고 Fisher 정보행렬의 정확도와도 차이도 거의 없어 관측정보행렬의 사용이 추천된 바 있으나, 최근 사용이 증가되고 있는 GL 분포에 대한 연구결과는 아직 전무한 실정이며 기존 연구문헌의 결과를 토대로 구체적인 연구 없이 관측정보행렬을 사용하고 있는 상황이다. 따라서 본 연구에서는 이를 위해 모의실험을 수행하였으며, 모의 결과 최우도법에 의한 매개변수의 분산 및 공분산은 기존의 연구 결과와 비슷한 결과를 보이나, quantile에 대한 불확실성 추정에는 관측정보행렬보다 Fisher 정보행렬의 사용이 더 적절할 것으로 판단되었다.

Learning Discriminative Fisher Kernel for Image Retrieval

  • Wang, Bin;Li, Xiong;Liu, Yuncai
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제7권3호
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    • pp.522-538
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    • 2013
  • Content based image retrieval has become an increasingly important research topic for its wide application. It is highly challenging when facing to large-scale database with large variance. The retrieval systems rely on a key component, the predefined or learned similarity measures over images. We note that, the similarity measures can be potential improved if the data distribution information is exploited using a more sophisticated way. In this paper, we propose a similarity measure learning approach for image retrieval. The similarity measure, so called Fisher kernel, is derived from the probabilistic distribution of images and is the function over observed data, hidden variable and model parameters, where the hidden variables encode high level information which are powerful in discrimination and are failed to be exploited in previous methods. We further propose a discriminative learning method for the similarity measure, i.e., encouraging the learned similarity to take a large value for a pair of images with the same label and to take a small value for a pair of images with distinct labels. The learned similarity measure, fully exploiting the data distribution, is well adapted to dataset and would improve the retrieval system. We evaluate the proposed method on Corel-1000, Corel5k, Caltech101 and MIRFlickr 25,000 databases. The results show the competitive performance of the proposed method.

Two Properties of Ancillary Statistics

  • Lee, Yong-Goo
    • Journal of the Korean Statistical Society
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    • 제17권2호
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    • pp.93-100
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    • 1988
  • Two properties of ancillary statistics are considered. One is to find a role of ancillary statistics in the statistical inference by showing that the ancillary statistic can recover the lost information and to give a criteria for comparing the conditional inference with unconditional inference. The other is to find an ancillary statistic of translation model and its relationship with observed Fisher information.

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Objective Bayesian inference based on upper record values from Rayleigh distribution

  • Seo, Jung In;Kim, Yongku
    • Communications for Statistical Applications and Methods
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    • 제25권4호
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    • pp.411-430
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    • 2018
  • The Bayesian approach is a suitable alternative in constructing appropriate models for observed record values because the number of these values is small. This paper provides an objective Bayesian analysis method for upper record values arising from the Rayleigh distribution. For the objective Bayesian analysis, the Fisher information matrix for unknown parameters is derived in terms of the second derivative of the log-likelihood function by using Leibniz's rule; subsequently, objective priors are provided, resulting in proper posterior distributions. We examine if these priors are the PMPs. In a simulation study, inference results under the provided priors are compared through Monte Carlo simulations. Through real data analysis, we reveal a limitation of the appropriate confidence interval based on the maximum likelihood estimator for the scale parameter and evaluate the models under the provided priors.

Information Sources for Serbian Women on Cervical Carcinoma Risk Factors

  • Dugandzija, Tihomir;Mikov, Marica Miladinov;Rajcevic, Smiljana;Kacavenda, Dragana;Malenkovic, Goran;Ristic, Mioljub
    • Asian Pacific Journal of Cancer Prevention
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    • 제13권6호
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    • pp.2931-2934
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    • 2012
  • Background: The epidemiological situation regarding cervical carcinoma in Serbia is rather unfavorable and one of contributing factors is the insufficient interest of women concerning the risk factors responsible for occurrence of this disease. The aim of this study was to determine the sources of relevant information for women Methods: An anonymous questionnaire was used for questioning of patients, students and women undergoing systematic examinations. There were 600 women in total in 2006, 2009 and 2010, and the data were statistically processed by the ${\chi}^2$ test with Yates correction and the Fisher test. Results: When observed for certain groups of tested women, and summed up for all three periods, there was a statistically significant difference for the answer "without any knowledge" (p=0.0001). When observed for certain years and summed up for all three tested groups, there was a statistically significant difference in answers regarding the source of information, the "doctor" (p=0.0011), "media" (p=0.0349) and "encyclopedia-internet" (p=0.0136). Conclusion: The media are a dominant source of information for women on risk factors for cervical cancer. The significance of the Internet increased during the three observed periods, while the students considered themselves least informed of all concerning risk factors.

coin 패키지를 이용한 독립성 검정 (Independence tests using coin package in R)

  • 김진흠;이정동
    • Journal of the Korean Data and Information Science Society
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    • 제25권5호
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    • pp.1039-1055
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    • 2014
  • 검정통계량의 영가설 분포는 모집단 분포에 의존하는데 모집단의 분포를 모를 때 영가설 분포를 검정통계량의 조건부 분포로 대체하여 검정하는 방법을 순열 검정이라고 한다. Strasser와 Weber (1999)는 순열 검정을 통합하는 이론을 마련하였고, Hothorn 등 (2006, 2008)은 그 이론을 R에 내장된 coin 패키지에 구현하였다. coin 패키지에서 조건부 독립성 검정은 총괄적인 형태의 함수인 independence test를 통해서 할 수 있지만 대표적인 독립성 검정은 사용자가 편리하도록 간편한 함수를 별도로 제공하고 있다. 본 논문에서는 Strasser와 Weber (1999)의 순열 검정 방법에 대해 소개하고, coin 패키지에 내장된 15개의 간편 함수에 대해 independence test 함수로 변환하는 절차를 설명하고자 한다. 또한, 정의한 independence test 함수를 써서 실제 자료의 점근 분포와 순열 검정, 정확 검정에 기초한 p-값을 서로 비교하고자 한다.

The restricted maximum likelihood estimation of a censored regression model

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • 제24권3호
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    • pp.291-301
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    • 2017
  • It is well known in a small sample that the maximum likelihood (ML) approach for variance components in the general linear model yields estimates that are biased downward. The ML estimate of residual variance tends to be downwardly biased. The underestimation of residual variance, which has implications for the estimation of marginal effects and asymptotic standard error of estimates, seems to be more serious in some limited dependent variable models, as shown by some researchers. An alternative frequentist's approach may be restricted or residual maximum likelihood (REML), which accounts for the loss in degrees of freedom and gives an unbiased estimate of residual variance. In this situation, the REML estimator is derived in a censored regression model. A small sample the REML is shown to provide proper inference on regression coefficients.

On the maximum likelihood estimation for a normal distribution under random censoring

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • 제25권6호
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    • pp.647-658
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    • 2018
  • In this paper, we study statistical inferences on the maximum likelihood estimation of a normal distribution when data are randomly censored. Likelihood equations are derived assuming that the censoring distribution does not involve any parameters of interest. The maximum likelihood estimators (MLEs) of the censored normal distribution do not have an explicit form, and it should be solved in an iterative way. We consider a simple method to derive an explicit form of the approximate MLEs with no iterations by expanding the nonlinear parts of the likelihood equations in Taylor series around some suitable points. The points are closely related to Kaplan-Meier estimators. By using the same method, the observed Fisher information is also approximated to obtain asymptotic variances of the estimators. An illustrative example is presented, and a simulation study is conducted to compare the performances of the estimators. In addition to their explicit form, the approximate MLEs are as efficient as the MLEs in terms of variances.

시판 중인 구강청결티슈의 세포 독성 관찰 (The Cytotoxic Effect of Oral Wet Wipes on Gingival Cells)

  • 정임희;박지현;이민경;황영선
    • 치위생과학회지
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    • 제18권2호
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    • pp.76-84
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    • 2018
  • 구강위생을 위한 간편성과 편리성 때문에 영유아에서 건강취약자 및 일반인에 이르기까지 구강청결티슈 사용이 증가되고 있다. 또한 기본 성분인 정제수 외에도 구강위생에 도움이 될 목적으로 다양한 기능 성분이 첨가된 구강청결티슈들이 시판되고 있다. 하지만 함유 성분에 대한 제공정보가 부족하고 함유량 기준이 마련되지 못하고 있어 구강 환경이 예민한 영유아 등에게 적용하기 위해서는 이들 제품에 대한 연구자료가 필요할 것으로 보인다. 본 연구에서는 구매도가 높은 시판 구강청결티슈 5종에 대한 구강세포 안전성을 확인함으로써 제품사용 시 유의해야 할 정보를 제공하고자 하였다. 시험 결과 피셔프라이스와 닥터케네디 제품 성분은 구강미생물 S. mutans 및 A. actinomycetemcomitans에 대한 항균작용을 나타냈지만 구강상피세포 및 구강섬유세포에도 독성을 나타냈다. 항균작용이 제한적인 궁중비책, 마이비, 아이수 제품 성분은 구강상피세포 및 구강섬유세포에 대한 독성도 낮았다. 피셔프라이스와 닥터케네디 제품 성분에 의한 구강세포 독성은 G2/M phase에서 세포주기 진행 억제와 세포자멸 유도에 의한 것으로 분석되었다. 따라서 구강 환경이 예민한 영유아 등을 대상으로 한 반복적이고 빈번한 사용은 구강세포 독성의 가능성을 높일 수 있다.

노인용 당뇨치료제 안전사용설명서 개발 및 평가: 수행능력 기반 사용자 평가 활용 (Developing and Evaluating a Drug Information Leaflet of Antidiabetics for Senior Citizens; Employing Performance-based User-testing)

  • 김진;심해리;이인향
    • 한국임상약학회지
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    • 제27권3호
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    • pp.171-177
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    • 2017
  • Objective: The study purpose was to develop a drug information leaflet for the elderly and to evaluate it with performance-based user-testing. Methods: We performed a stratified randomized controlled trial. We recruited 62 elderly patients with age of 65 or above who were taking antidiabetic medications at the point of participating and excluded those who suffered illiteracy. We randomly allocated them into the intervention group with a leaflet for the elderly and the control group with a leaflet for the general public. Main outcome measures were to 'be able to find information' and to 'be able to understand information.' We measured outcome variables by employing performance-based user-testing and analyzed data to find any differences between two groups with t-tests, chi-squared tests or Fisher's exact tests accordingly. Results: More participants in the intervention group understood how to store their medications than those in the control group (intervention group 93% vs. control group 70%; p=0.02). There were no significant differences in other information items between two groups. Mostly 'being able to understand information' was lower than 'being able to find information.' The gaps between two outcome variables were about 10% in the intervention group and about 18% in the control group. The lowest understanding was observed in information relating to drug names and their potential adverse events. Conclusion: Without providing personalized drug information, it might be hard for the elderly to improve their drug knowledge even with leaflets that were developed specifically for the elderly.