• Title/Summary/Keyword: Maximum-Likelihood

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Bayesian Image Reconstruction Using Edge Detecting Process for PET

  • Um, Jong-Seok
    • Journal of Korea Multimedia Society
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    • v.8 no.12
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    • pp.1565-1571
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    • 2005
  • Images reconstructed with Maximum-Likelihood Expectation-Maximization (MLEM) algorithm have been observed to have checkerboard effects and have noise artifacts near edges as iterations proceed. To compensate this ill-posed nature, numerous penalized maximum-likelihood methods have been proposed. We suggest a simple algorithm of applying edge detecting process to the MLEM and Bayesian Expectation-Maximization (BEM) to reduce the noise artifacts near edges and remove checkerboard effects. We have shown by simulation that this algorithm removes checkerboard effects and improves the clarity of the reconstructed image and has good properties based on root mean square error (RMS).

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Statistical Estimation for Generalized Logit Model of Nominal Type with Bootstrap Method

  • Cho, Joong-Jae;Han, Jeong-Hye
    • Journal of the Korean Statistical Society
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    • v.24 no.1
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    • pp.1-18
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    • 1995
  • The generalized logit model of nominal type with random regressors is studied for bootstrapping. In particular, asymptotic normality and consistency of bootstrap model estimators are derived. It is shown that the bootstrap approximation to the distribution of the maximum likelihood estimators is valid for alsomt all sample sequences.

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ON THE BAYES ESTIMATOR OF PARAMETER AND RELIABILITY FUNCTION OF THE ZERO-TRUNCATED POISSON DISTRIBUTION

  • Hassan, Anwar;Ahmad, Peer Bilal;Bhatti, M. Ishaq
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.2
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    • pp.97-108
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    • 2008
  • In this paper Bayes estimator of the parameter and reliability function of the zero-truncated Poisson distribution are obtained. Furthermore, recurrence relations for the estimator of the parameter are also derived. Monte Carlo simulation technique has been made for comparing the Bayes estimator and reliability function with the corresponding maximum likelihood estimator (MLE) of zero-truncated Poisson distribution.

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The Generalized Logistic Models with Transformations

  • Yeo, In-Kwon;Richard a. Johnson
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.495-506
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    • 1998
  • The proposed class of generalized logistic models, indexed by an extra parameter, can be used to model or to examine symmetric or asymmetric discrepancies from the logistic model. When there are a finite number of different design points, we are mainly concerned with maximum likelihood estimation of parameters and in deriving their large sample behavior A score test and a bootstrap hypothesis test are also considered to check if the standard logistic model is appropriate to fit the data or if a generalization is needed .

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Higber Order Expansions of the Cumulants and the Modified Normalizing Process of Multi-dimensional Maximum Likelihood Estimator

  • Jonghwa Na
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.305-318
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    • 1999
  • In this paper we derive the higher order expansions of the first four cumulants of multi-dimensional Maximum Likelihood Estimator (MLE) under the general parametric model up to and including terms of order O({{{{ {n }^{-1 } }}}}) Also we obtain the explicit form of the expansion of the normalizing trans formation of multi-dimensional MLE and show that the suggested normalizing process is much better than the normal approximation based on central limit theorem through example.

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Generalized Maximum Likelihood Estimation in a Multistate Stochastic Model

  • Yeo, Sung-Chil
    • Journal of the Korean Operations Research and Management Science Society
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    • v.14 no.1
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    • pp.1-15
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    • 1989
  • Multistate survival data with censoring often arise in biomedical experiments. In particular, a four-state space is used for cancer clinical trials. In a four-state space, each patient may either respond to a given treatment and then relapse or may progress without responding. In this four-state space, a model which combines the Markov and semi-Markov models is proposed. In this combined model, the generalized maximum likelihood estimators of the Markov and semi-Markov hazard functions are derived. These estimators are illustrated for the data collected in a study of treatments for advanced breast cancer.

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Estimation of Parameters in a Generalized Exponential Semi-Markov Reliability Models

  • El-Gohary Awad
    • International Journal of Reliability and Applications
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    • v.6 no.1
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    • pp.13-29
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    • 2005
  • This paper deals with the stochastic analysis of a three-states semi-Markov reliability model. Using both the maximum likelihood and Bayes procedures, the parameters included in this model are estimated. Next, assuming that the lifetime and repair time are generalized exponential random variables, the reliability function of this system is obtained. Then, the distribution of the first passage time of this system is discussed. Finally, some of the obtained results are compared with those available in the literature.

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Fast Multiuser Detection in CDMA Systems Using Gradient Guided Search (Gradient Guided 탐색을 이용한 고속 CDMA 다중사용자 검출)

  • Choi, Yang-Ho
    • Journal of Industrial Technology
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    • v.24 no.B
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    • pp.143-148
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    • 2004
  • We present a fast algorithm for CDMA (code division multiple access) multiuser detection using the gradient guided search. The fast algorithm calculates the maximum likelihood (ML) metric so efficiently that it needs only O(K) additions in the presence of K users once some initialization is completed. The computational advantages of the fast algorithm over the conventional method are more noticeable as more iterations are required to obtain a suboptimal solution as in the initialization with matched filters.

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Optimal Designs for Constant Stress Partially Accelerated Life Tests under Type I Censoring

  • Moon, Gyoung-Ae
    • Journal of the Korean Data and Information Science Society
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    • v.6 no.2
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    • pp.77-83
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    • 1995
  • The inferences on a series system under the usual condition using data from constant stress partially accelerated life tests and type I censoring is studied. Two optimal designs to determine the sample proportion allocated each stress level model are also presented, which minimize the sum of the generalized asymptotic variances of maximum likelihood estimators of the failure rate and the acceleration factors and the sum of the asymptotic variances of maximum likelihood estimators of the acceleration factors for each component. Each component of a system is assumed to follow an exponenial distribution.

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Reliability Estimation for a Shared-Load System Based on Freund Model

  • Hong, Yeon-Woong;Lee, Jae-Man;Cha, Young-Joon
    • Journal of the Korean Data and Information Science Society
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    • v.6 no.2
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    • pp.1-7
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    • 1995
  • This paper considers the reliability estimation of a two-component shared-load system based on Freund model. Maximum likelihood estimator, order restricted maximum likelihood estimator and uniformly minimum variance unbiased estimator of the reliability function for the system are obtained. Performance of three estimators for moderate sample sizes is studied by simulation.

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