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  • 标题:Quantum non demolition measurements: Parameter estimation for mixtures of multinomials
  • 本地全文:下载
  • 作者:Tristan Benoist ; Fabrice Gamboa ; Clément Pellegrini
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2018
  • 卷号:12
  • 期号:1
  • 页码:555-571
  • DOI:10.1214/18-EJS1396
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:In Quantum Non Demolition measurements, the sequence of observations is distributed as a mixture of multinomial random variables. Parameters of the dynamics are naturally encoded into this family of distributions. We show the local asymptotic mixed normality of the underlying statistical model and the consistency of the maximum likelihood estimator. Furthermore, we prove the asymptotic optimality of this estimator as it saturates the usual Cramér Rao bound.
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