• Title/Summary/Keyword: Maximum likelihood Estimation

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Estimation of Pr(Y < X) in the Censored Case

  • Kim, Jae Joo;Yeum, Joon Keun
    • Journal of Korean Society for Quality Management
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    • v.12 no.1
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    • pp.9-16
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    • 1984
  • We study some estimation of the ${\theta}=P_r$(Y${\theta}$. We consider asymptotic property of estimators and maximum likelihood estimator is compared with unique minimum veriance unbiased estimator in moderate sample size.

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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.

ML-Based Angle-of-arrival Estimation of a Parametric Source

  • Lee, Yong-Up;Kim, Jong-Dae;Park, Joong-Hoo
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.3E
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    • pp.25-30
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    • 2001
  • In angle of arrival estimation, the direction of a signal is usually assumed to be a point. If the direction of a signal is distributed due to some reasons in real surroundings, however, angle of arrival estimation techniques based on the point source assumption may result in poor performance. In this paper, we consider angle of arrival estimation when the signal sources are distributed. A parametric source model is proposed, and the estimation techniques based on the well-known maximum likelihood technique is considered under the model. In addition, Various statistical properties of the estimation errors were obtained.

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A Comparison of the Reliability Estimation Accuracy between Bayesian Methods and Classical Methods Based on Weibull Distribution (와이블분포 하에서 베이지안 기법과 전통적 기법 간의 신뢰도 추정 정확도 비교)

  • Cho, HyungJun;Lim, JunHyoung;Kim, YongSoo
    • Journal of Korean Institute of Industrial Engineers
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    • v.42 no.4
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    • pp.256-262
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    • 2016
  • The Weibull is widely used in reliability analysis, and several studies have attempted to improve estimation of the distribution's parameters. least squares estimation (LSE) or Maximum likelihood estimation (MLE) are often used to estimate distribution parameters. However, it has been proven that Bayesian methods are more suitable for small sample sizes than LSE and MLE. In this work, the Weibull parameter estimation accuracy of LSE, MLE, and Bayesian method are compared for sample sets with 3 to 30 data points. The Bayesian method was most accurate for sample sizes under 25, and the accuracy of the Bayesian method was similar to LSE and MLE as the sample size increased.

Gradient-Search Based CDMA Multiuser Detection with Estimation of User Powers (Gradient 탐색에 기초한 CDMA 다중사용자 검출과 전력 추정)

  • Choi Yang-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.9C
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    • pp.882-888
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    • 2006
  • Multiuser detection can significantly increase system capacity and improve service quality compared with the existing matched filter. In this paper, we introduce an method which efficiently calculates the maximum likelihood (ML) metric based on the gradient search (GS). The ML detection needs user powers as well as their spreading codes. A method is also proposed that allows us to detect data bits with the estimation of user powers when they are unknown. Computer simulation shows that the proposed method can nearly achieve the same performance as the GS with perfectly hewn user powers.

DYNAMIC AUTOCORRELATION TEMPERATURE MODELS FOR PRICING THE WEATHER DERIVATIVES IN KOREA

  • Choi, H.W;Chung, S.K
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.771-785
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    • 2002
  • Many industries like energy, utilities, ice cream and leisure sports are closely related to the weather. In order to hedge weather related risks, they invest their assets with portfolios like option, coupons, future, and other weather derivatives. Among weather related derivatives, CDD and HDD index options are mainly transacted between companies. In this paper, the autocorrelation system of temperature will be checked for several cities in Korea and the parameter estimation will be carried based on the maximum likelihood estimation. Since the log likelihood increase as the number of parameters increases, we adopt the Schwarz information criterion .

Maximum Likelihood (ML)-Based Quantizer Design for Distributed Systems

  • Kim, Yoon Hak
    • Journal of information and communication convergence engineering
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    • v.13 no.3
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    • pp.152-158
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    • 2015
  • We consider the problem of designing independently operating local quantizers at nodes in distributed estimation systems, where many spatially distributed sensor nodes measure a parameter of interest, quantize these measurements, and send the quantized data to a fusion node, which conducts the parameter estimation. Motivated by the discussion that the estimation accuracy can be improved by using the quantized data with a high probability of occurrence, we propose an iterative algorithm with a simple design rule that produces quantizers by searching boundary values with an increased likelihood. We prove that this design rule generates a considerably reduced interval for finding the next boundary values, yielding a low design complexity. We demonstrate through extensive simulations that the proposed algorithm achieves a significant performance gain with respect to traditional quantizer designs. A comparison with the recently published novel algorithms further illustrates the benefit of the proposed technique in terms of performance and design complexity.

Integration of Multi-spectral Remote Sensing Images and GIS Thematic Data for Supervised Land Cover Classification

  • Jang Dong-Ho;Chung Chang-Jo F
    • Korean Journal of Remote Sensing
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    • v.20 no.5
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    • pp.315-327
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    • 2004
  • Nowadays, interests in land cover classification using not only multi-sensor images but also thematic GIS information are increasing. Often, although useful GIS information for the classification is available, the traditional MLE (maximum likelihood estimation techniques) does not allow us to use the information, due to the fact that it cannot handle the GIS data properly. This paper propose two extended MLE algorithms that can integrate both remote sensing images and GIS thematic data for land-cover classification. They include modified MLE and Bayesian predictive likelihood estimation technique (BPLE) techniques that can handle both categorical GIS thematic data and remote sensing images in an integrated manner. The proposed algorithms were evaluated through supervised land-cover classification with Landsat ETM+ images and an existing land-use map in the Gongju area, Korea. As a result, the proposed method showed considerable improvements in classification accuracy, when compared with other multi-spectral classification techniques. The integration of remote sensing images and the land-use map showed that overall accuracy indicated an improvement in classification accuracy of 10.8% when using MLE, and 9.6% for the BPLE. The case study also showed that the proposed algorithms enable the extraction of the area with land-cover change. In conclusion, land cover classification results produced through the integration of various GIS spatial data and multi-spectral images, will be useful to involve complementary data to make more accurate decisions.

Interval Estimation in Mixed Model by Use of PROC MIXED (PROC MIXED를 활용한 혼합모형의 신뢰구간추정)

  • Park Dong-Joon
    • The Korean Journal of Applied Statistics
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    • v.19 no.2
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    • pp.349-360
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    • 2006
  • PROC MIXED in SAS can be utilized to make inferences on parameters in a mixed model by use of Restricted Maximum Likelihood Estimation Method or Maximum Likelihood Estimation Method which has more merits than ANOVA method. A regression model with unbalanced nested error structure that belongs to a mixed model is used to construct confidence intervals on variances among groups, within groups, and regression coefficients in the model. PROC MIXED is applied to three different sample sizes for simulation. As a result of the simulation study, PROC MIXED generates confidence intervals on parameters that maintain the stated confidence coefficient in a large sample size. However, it does not generate confidence intervals that maintain the stated confidence coefficient for variance components among groups and intercept in a small sample size.

MCE Training Algorithm for a Speech Recognizer Detecting Mispronunciation of a Foreign Language (외국어 발음오류 검출 음성인식기를 위한 MCE 학습 알고리즘)

  • Bae, Min-Young;Chung, Yong-Joo;Kwon, Chul-Hong
    • Speech Sciences
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    • v.11 no.4
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    • pp.43-52
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    • 2004
  • Model parameters in HMM based speech recognition systems are normally estimated using Maximum Likelihood Estimation(MLE). The MLE method is based mainly on the principle of statistical data fitting in terms of increasing the HMM likelihood. The optimality of this training criterion is conditioned on the availability of infinite amount of training data and the correct choice of model. However, in practice, neither of these conditions is satisfied. In this paper, we propose a training algorithm, MCE(Minimum Classification Error), to improve the performance of a speech recognizer detecting mispronunciation of a foreign language. During the conventional MLE(Maximum Likelihood Estimation) training, the model parameters are adjusted to increase the likelihood of the word strings corresponding to the training utterances without taking account of the probability of other possible word strings. In contrast to MLE, the MCE training scheme takes account of possible competing word hypotheses and tries to reduce the probability of incorrect hypotheses. The discriminant training method using MCE shows better recognition results than the MLE method does.

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