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A Note on the Murthy-Sarma Estimators of the Mean of the Normal Distribution for Small Samples

Author

Listed:
  • Anis M. Z.

    (SQC & OR (T & P) Unit, Indian Statistical Institute, 203, B.T. Road, Calcutta - 700 108, India. , anismz@yahoo.co.in zafar@isical.ac.in)

  • Pandey R. J.

    (Promotional Quality Management & Research Center, “Radha Govinda”, 169/8 Gopal Lal Tagore Road, Calcutta - 700 108, India. rjpandey2001@yahoo.co.in)

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.

Suggested Citation

  • Anis M. Z. & Pandey R. J., 2003. "A Note on the Murthy-Sarma Estimators of the Mean of the Normal Distribution for Small Samples," Stochastics and Quality Control, De Gruyter, vol. 18(1), pages 83-90, January.
    • Handle: RePEc:bpj:ecqcon:v:18:y:2003:i:1:p:83-90:n:8
    DOI: 10.1515/EQC.2003.83
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    Cited by:

    1. Singh Housila P. & Sayyed Mujahida, 2010. "An Addendum to the Estimators of Murthy–Sarma and Anis–Pandey of the Mean of the Normal Distribution," Stochastics and Quality Control, De Gruyter, vol. 25(1), pages 97-107, January.

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