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Deriving the Efficiency Function for Type I Censored Sample from Exponential Distribution Using Sup-Entropy
Kittaneh, Omar
Kittaneh, Omar
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2012
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Abstract
This paper utilizes information theory to quantify Efficiency of Type I Censored sample drawn from Exponential Distribution and the consequent information loss due to Censoring. Based on Awad Sup-Entropy, an Efficiency Function for Censored sample is derived explicitly. The properties of the derived Efficiency Function are explained as a function of the Exponential Parameter and the termination time of the experiment. The estimation for the termination time of the experiment for a given Efficiency is discussed. Furthermore, under certain Efficiency, the Maximum Likelihood and Interval Estimation for the Exponential Parameter are also introduced.