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Statistical Papers

, Volume 53, Issue 4, pp 895–914 | Cite as

Analysis of rounded data in mixture normal model

  • Ningning Zhao
  • Zhidong BaiEmail author
Regular Article

Abstract

Rounding errors have a considerable impact on statistical inferences, especially when the data size is large and the finite normal mixture model is very important in many applied statistical problems, such as bioinformatics. In this article, we investigate the statistical impacts of rounding errors to the finite normal mixture model with a known number of components, and develop a new estimation method to obtain consistent and asymptotically normal estimates for the unknown parameters based on rounded data drawn from this kind of models.

Keywords

Finite mixture normal model EM algorithm Consistent estimation Asymptotic normality 

Mathematics Subject Classification (2000)

62F10 62F12 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.KLASMOE and School of Mathematics and StatisticsNortheast Normal UniversityChangchunChina

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