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Fisher Information in Censored Samples from the Marshall-Olkin Bivariate Exponential Distribution

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  • H. N. Nagaraja
  • Qinying He

Abstract

We obtain explicit expressions for the elements of the Fisher information matrix (FIM) for a single pair of order statistic and its concomitant, and Type II right, left, and doubly censored samples from the Marshall-Olkin bivariate exponential distribution. We also obtain the limiting form of the FIM for the censored samples. We evaluate the FIM for selected parameter values and sample size of 10, and determine simple, close approximations based on the limiting form. We discuss implications of our findings to inference based on small and large samples and for ranked-set samples from this distribution.

Suggested Citation

  • H. N. Nagaraja & Qinying He, 2015. "Fisher Information in Censored Samples from the Marshall-Olkin Bivariate Exponential Distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(19), pages 4172-4184, October.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:19:p:4172-4184
    DOI: 10.1080/03610926.2014.972565
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