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Modified inference about the mean of the exponential distribution using moving extreme ranked set sampling

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Abstract

The maximum likelihood estimator (MLE) and the likelihood ratio test (LRT) will be considered for making inference about the scale parameter of the exponential distribution in case of moving extreme ranked set sampling (MERSS). The MLE and LRT can not be written in closed form. Therefore, a modification of the MLE using the technique suggested by Maharota and Nanda (Biometrika 61:601–606, 1974) will be considered and this modified estimator will be used to modify the LRT to get a test in closed form for testing a simple hypothesis against one sided alternatives. The same idea will be used to modify the most powerful test (MPT) for testing a simple hypothesis versus a simple hypothesis to get a test in closed form for testing a simple hypothesis against one sided alternatives. Then it appears that the modified estimator is a good competitor of the MLE and the modified tests are good competitors of the LRT using MERSS and simple random sampling (SRS).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman

    Walid Abu-Dayyeh

  2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

    Esam Al Sawi

Authors
  1. Walid Abu-Dayyeh
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  2. Esam Al Sawi
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Correspondence to Walid Abu-Dayyeh.

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Abu-Dayyeh, W., Al Sawi, E. Modified inference about the mean of the exponential distribution using moving extreme ranked set sampling. Stat Papers 50, 249–259 (2009). https://doi.org/10.1007/s00362-007-0072-5

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  • DOI: https://doi.org/10.1007/s00362-007-0072-5

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