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A Note on the Murthy-Sarma Estimators of the Mean of the Normal Distribution for Small Samples
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M. Z. Anis
Published/Copyright:
March 10, 2010
Abstract
Murthy and Sarma (Assam Statistical Review 12: 1–5, 1998) proposed and studied two biased estimators for the expectation of the normal distribution N(μ, σ2) when the coefficient of variation is known and is given by 
. Their estimators for small samples were found to be erroneous on account of a simplification and an analytical error. In this note, these errors are pointed out and corrected. For the corrected estimator the values of the relative efficiency for 
and sample size n = 2(1)25(5)100 are calculated and displayed in a table.
Published Online: 2010-03-10
Published in Print: 2003-April
© Heldermann Verlag
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