Dissertation > Excellent graduate degree dissertation topics show

Statistic Analysis of Finite Mixture Models

Author: QianHui
Tutor: ZongXuPing
School: Yangzhou University
Course: Applied Mathematics
Keywords: Hybrid model of exponential family EM algorithm Linear model Likelihood Ratio Test Asymptotic distribution
CLC: O212
Type: Master's thesis
Year: 2007
Downloads: 131
Quote: 3
Read: Download Dissertation


Hybrid model can be complex and changeable effective model of random phenomena , in recent years , increasing attention has been paid . Many people this had a strong interest in the natural sciences , medicine, engineering , making the hybrid model even in the anthropology field has a very wide range of applications . mixed model does not satisfy the usual regularity conditions , however , the likelihood good than the test the asymptotic nature as well as the distribution of the test statistic nature are difficult to estimate , the application of numerical methods mixed is still a huge challenge in the statistical model , we encountered a lot of difficulties in the study of the model test of homogeneity on the issue . finite mixture distribution density function of this article , we discuss a mixed model of exponential family EM algorithm, the likelihood ratio test potential function analog , the asymptotic distribution of the test statistic and linear regression with a mixture of exponential family distribution given in Chapter II of the abstract form of the EM algorithm , EM algorithm is a hybrid model greatly likelihood estimates of standard tools , this paper systematically introduces how to use the EM algorithm for solving the problem of maximum likelihood estimation , introduced a mixed model of exponential family EM algorithm iteration formula Chapter four hybrid model calculation of the likelihood ratio test quantiles of the statistic , and the inspection of the simulation of the potential function . , we can see that globally maximizing the likelihood function method is not necessarily good potential , under the null hypothesis by a simple EM algorithm the starting law often can not find the global maximum, but can be a very good trend . fourth chapter we consider a class of hybrid model for g ( x ) = ( 1 - ξ) f ( the x θ 1 < / sub>) ξf (x, θ 2), 0 ≤ ξ ≤ 1, where f is a given probability density function , obtained the model likelihood ratio asymptotic distribution of the statistic Chapter exponential family mixed combined distribution and linear model , we focus on the residual analysis and impact analysis of the model , the exponential family mixture distribution to get a better application in the linear model problem .

Related Dissertations

  1. Counting interval mapping of quantitative trait,O212.7
  2. Research on Co-clustering and Application,TP311.13
  3. Circulating fluidized bed boiler combustion modeling and optimization control,TK229.66
  4. Of speckle noise removal in medical ultrasound image,TP391.41
  5. Distributed sound source localization and tracking algorithm,TN912.3
  6. Investigation on Channel Estimation Based on Pilot Arrangement in MIMO-OFDM System,TN919.3
  7. Sensor Network Interface and Multisensor Fusion Technology; Sensor Network Interfaceand Multisensor Fusion Technology,TP212.9
  8. Network Anomaly Detection and Analysis Base on Sliding Window Wavelet Binary Tree,TP393.08
  9. Functional Mapping of Quantitative Trait Loci in Forest Trees,S722
  10. The Application of Gaussian Mixture Model in the Detection of Community Structure of Networks,TP393.094
  11. Research on the Blind Restoration Algorithms for the Adaptive Opto-Electronic Images,TP391.41
  12. Improved genetic algorithm in nonlinear equations,O241.7
  13. The Research on Papameters Estimation of the Generalized Gamma Mixture Medel,O212.1
  14. Research on Synthesis Selection Index for Quantitative Characters of Major-polygene and Polygene,Q75
  15. The Moderation Effect of Neurotic Personality and Rumination in Relationship between Stress and Depressive Symptoms of Adolescents’ in Different Genotypes of 5-HTTLPR,R749.4
  16. Development of Netwoked Multi-Sensor System and Research on Information Fusion Algorithm,TP212.9
  17. Research on Watermarking Scheme for Copyright Protection in Remote Sensing Image with Wavelet-based Hidden Markov Tree Models,TP309.7
  18. Emotion recognition of speech signals based on research,TN912.34
  19. A Application of EM Algorithm and Fisher Score Algorithm in the Mixed Effects Model,O212.1
  20. Mixed Model-based Cluster Methods,O212.4
  21. Probabilistic Principal Component Analysis with Missing Data,O212.1

CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Mathematical Statistics
© 2012 www.DissertationTopic.Net  Mobile