SHANDONG SCIENCE ›› 2017, Vol. 30 ›› Issue (5): 86-90.doi: 10.3976/j.issn.1002-4026.2017.05.014

• Other Research Article • Previous Articles     Next Articles

An efficient estimation of the inverse Rayleigh distribution

LU Jian-ping1，SHI Jie-ru2, HAO Bo1*   

  1. 1. School of Mathematics &Computer Science, Shanxi Normal University, Linfen 041000, China;2. School of Mathematics, Sichuan University, Chengdu 610065, China
  • Received:2016-06-20 Published:2017-10-20 Online:2017-10-20

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Abstract:

The MLE and UMVUE of the density function and distribution function were derived for the inverse Rayleigh distribution, and the explicit expressions of the rth moment of these estimators were given. The mean square error and variation coefficient of the estimators were asymptotically expanded. Finally, the judgement for the effective estimation of the inverse Rayleigh distribution was given in the large sample.

Key words: inverse Rayleigh distribution, distribution function, MLE, density function, UMVUE

CLC Number: 

  • O212.1

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