• Title/Summary/Keyword: MCEM

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An estimation method for non-response model using Monte-Carlo expectation-maximization algorithm (Monte-Carlo expectation-maximaization 방법을 이용한 무응답 모형 추정방법)

  • Choi, Boseung;You, Hyeon Sang;Yoon, Yong Hwa
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.3
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    • pp.587-598
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    • 2016
  • In predicting an outcome of election using a variety of methods ahead of the election, non-response is one of the major issues. Therefore, to address the non-response issue, a variety of methods of non-response imputation may be employed, but the result of forecasting tend to vary according to methods. In this study, in order to improve electoral forecasts, we studied a model based method of non-response imputation attempting to apply the Monte Carlo Expectation Maximization (MCEM) algorithm, introduced by Wei and Tanner (1990). The MCEM algorithm using maximum likelihood estimates (MLEs) is applied to solve the boundary solution problem under the non-ignorable non-response mechanism. We performed the simulation studies to compare estimation performance among MCEM, maximum likelihood estimation, and Bayesian estimation method. The results of simulation studies showed that MCEM method can be a reasonable candidate for non-response model estimation. We also applied MCEM method to the Korean presidential election exit poll data of 2012 and investigated prediction performance using modified within precinct error (MWPE) criterion (Bautista et al., 2007).

Semiparametric Regression Splines in Matched Case-Control Studies

  • Kim, In-Young;Carroll, Raymond J.;Cohen, Noah
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.167-170
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    • 2003
  • We develop semiparametric methods for matched case-control studies using regression splines. Three methods are developed: an approximate crossvalidation scheme to estimate the smoothing parameter inherent in regression splines, as well as Monte Carlo Expectation Maximization (MCEM) and Bayesian methods to fit the regression spline model. We compare the approximate cross-validation approach, MCEM and Bayesian approaches using simulation, showing that they appear approximately equally efficient, with the approximate cross-validation method being computationally the most convenient. An example from equine epidemiology that motivated the work is used to demonstrate our approaches.

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Metropolis-Hastings Expectation Maximization Algorithm for Incomplete Data (불완전 자료에 대한 Metropolis-Hastings Expectation Maximization 알고리즘 연구)

  • Cheon, Soo-Young;Lee, Hee-Chan
    • The Korean Journal of Applied Statistics
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    • v.25 no.1
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    • pp.183-196
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    • 2012
  • The inference for incomplete data such as missing data, truncated distribution and censored data is a phenomenon that occurs frequently in statistics. To solve this problem, Expectation Maximization(EM), Monte Carlo Expectation Maximization(MCEM) and Stochastic Expectation Maximization(SEM) algorithm have been used for a long time; however, they generally assume known distributions. In this paper, we propose the Metropolis-Hastings Expectation Maximization(MHEM) algorithm for unknown distributions. The performance of our proposed algorithm has been investigated on simulated and real dataset, KOSPI 200.