• Title/Summary/Keyword: 최우추정법

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문항반응이론에서의 추정방법과 대입학력고사의 문항분석

  • 박정수;조완현
    • Communications for Statistical Applications and Methods
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    • v.1 no.1
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    • pp.192-205
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    • 1994
  • 본 논문에서는 피험자의 능력과 검사문항에 정답할 확률과의 관계에 기초한 문항반응 이론의 기본 가정과 통계적 모형을 소개하였다. 또한 검사의 목적상 필요한 피험자의 능력을 정확히 추정하는 방법과, 검사에 사용되는 각 문항을 특성지우는 문항모수의 여러가지 통계적 추정 방법에 대하여 정리하였다. 그 방법들은 결합 최우추정법, 조건부 최우추정법, 주변 최우추정법, 베이지안 추정법 및 이들의 혼합에 의한 방법이다. 문항반응이론의 적용의 한 예로서 93년도 대입학력고사의 수학 시험문항을 BILOG 라는 컴퓨터 프로그램을 이용하여 분석하였다.

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Maximum likelihood estimation for a mixture distribution (이항-퇴화 혼합분포의 최우추정법)

  • Hwang, Seonyeong;Sohn, Seung Hye;Oh, Changhyuck
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.2
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    • pp.313-322
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    • 2015
  • A mixture distribution of a discrete uniform or degenerated distribution and two binomial distribution is proposed and a method of obtaining the maximum likelihood estimates of the parameters is provided. For the proposed model simulation studies were conducted to see performance of the maximum likelihood estimates and a mixture of a degenerated distribution and two binomial distributions was applied to fit a lecture evaluation data to show a good result.

확률밀도함수가 표현되지 않는 경우 수치적 최우추정법 - 웨이크비 분포 적용

  • Park, Jeong-Su
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.43-47
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    • 2005
  • 확률밀도함수가 명확히 표현되지 않고 오직 백분위함수로만 표현되는 분포에서 최우추정치를 구하는 수치적 최적화 알고리즘에 대해서 연구하였다. 이 최우추정 알고리즘을 수문학 등에서 사용되는 5-모수의 웨이크비 분포에 적용하였으며, 몬테카를로 시뮬레이션을 통하여 L-적률추정법과 그 성능을 비교하였다.

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Objective Bayesian Estimation of Two-Parameter Pareto Distribution (2-모수 파레토분포의 객관적 베이지안 추정)

  • Son, Young Sook
    • The Korean Journal of Applied Statistics
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    • v.26 no.5
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    • pp.713-723
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    • 2013
  • An objective Bayesian estimation procedure of the two-parameter Pareto distribution is presented under the reference prior and the noninformative prior. Bayesian estimators are obtained by Gibbs sampling. The steps to generate parameters in the Gibbs sampler are from the shape parameter of the gamma distribution and then the scale parameter by the adaptive rejection sampling algorism. A numerical study shows that the proposed objective Bayesian estimation outperforms other estimations in simulated bias and mean squared error.

Likelihood Ratio Test for the Epidemic Alternatives on the Zero-Inflated Poisson Model (변화시점이 있는 영과잉-포아송모형에서 돌출대립가설에 대한 우도비검정)

  • Kim, Kyung-Moo
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.247-253
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    • 1998
  • In ease of the epidemic Zero-Inflated Poisson model, likelihood ratio test was used for testing epidemic alternatives. Epidemic changepoints were estimated by the method of least squares. It were used for starting points to estimate the maximum likelihood estimators. And several parameters were compared through the Monte Carlo simulations. As a result, maximum likelihood estimators for the epidemic chaagepoints and several parameters are better than the least squares and moment estimators.

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The estimation of CO concentration in Daegu-Gyeongbuk area using GEV distribution (GEV 분포를 이용한 대구·경북 지역 일산화탄소 농도 추정)

  • Ryu, Soorack;Eom, Eunjin;Kwon, Taeyong;Yoon, Sanghoo
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.4
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    • pp.1001-1012
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    • 2016
  • It is well known that air pollutants exert a bad influence on human health. According to the United Nations Environment Program, 4.3 million people die from carbon monoxide and particulate matter annually from all over the world. Carbon monoxide is a toxic gas that is the most dangerous of the gas consisting of carbon and oxygen. In this paper, we used 1 hour, 6 hours, 12 hours, and 24 hours average carbon monoxide concentration data collected between 2004 and 2013 in Daegu Gyeongbuk area. Parameters of the generalized extreme value distribution were estimated by maximum likelihood estimation and L-moments estimation. An evalution of goodness of fitness also was performed. Since the number of samples were small, L-moment estimation turned out to be suitable for parameter estimation. We also calculated 5 year, 10 year, 20 year, and 40 year return level.

Evaluation of the impact of typhoon on daily maximum precipitation (태풍이 일 최대강수량에 미치는 영향 평가)

  • Yang, Miyeon;Yoon, Sanghoo
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.6
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    • pp.1415-1425
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    • 2017
  • Typhoons are accompanied by strong wind and heavy rains. It causes casualties and property damage on the Korean peninsula every year. The effect of typhoon to daily precipitation should be quantified to prevent the damage of typhoon. Daily precipitation, maximum wind speed and, mean wind speed data was collected from 60 weather stations between 1976 and 2016. The parameters of the generalized extreme value distribution were estimated through the maximum likelihood estimation and the L-moment estimation. The impact of a typhoon can be obtained through a comparison of return levels between the whole data and typhoon excluded data. We conclude that the eastern and southern coastline are exposed to the risk of heavy rainfall which is caused by typhoon.

고차 일반화극치분포와 PMLE를 이용한 환율자료분석

  • Jeong, Bo-Yun;Jeon, Yu-Na;Park, Jeong-Su
    • 한국데이터정보과학회:학술대회논문집
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    • 2003.10a
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    • pp.147-152
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    • 2003
  • 본 논문에서는 일반화극치분포(GEV)와 r개의 순서통계량을 이용한 r-GEV를 기술하였다. 모수 $\mu,\;\sigma$, k 를 추정하기 위해 최우추정법(MLE)과 Penalized MLE(P-MLE) 방법을 적용해 보았다. 이 분포를 원/달러 환율자료에 적용하여 일종의 재정위기 분석을 실시하였다.

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