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Parameter Estimation and Hypothesis Testing of Two ExponentialPopulations under Type Ⅰ Censoring Sample with Missed Data

ZHAO Zhiwen1,2, WANG Siyang2, WANG Rui ting2, LI Ling2   

  1. 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-02-05 Revised:1900-01-01 Online:2009-01-26 Published:2009-01-26
  • Contact: WANG Rui ting

Abstract: On the basis of the maximum likelihood method, the present paper deals with the parameter estimation and hypothesis testing on the equa lity of two exponential distribution under Type Ⅰ censoring sample with missed data. The consistency and asymptotic normality of the estimations have been proved. Moreover, statistic on testing equality of two exponential distributions and its limit distribution are given.

Key words: Type Ⅰ censored sample, missing data, maximum likelihood estimation

CLC Number: 

  • O212.7