Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (3): 370-377.

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Asymptotic Properties of a Kind of Sieve MLE

  

  1. (Department of Mathematics, Jilin University, Chang chun 130023)
     (Graduate School at Beijing, University of Science and Technology of China, Beijing 100039)
  • Online:2000-05-12 Published:2000-05-12

Abstract:

 For a partly linear model, when observations of the respond variable are case one interval censored, asymptotic properties of sieve MLEs are discussed. Triangle series are used to struct sieve spaces, under mild conditions, sieve MLEs are shown to be strong consistent, sieve MLE of the nonparametric part has an optimal convergence rate, and the information bound of sieve MLE of the parametric part is obtained.

Key words: Partlylinearmodel, Intervalcensoring, SieveMLE, Strongconsistent, Informationbound

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