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Remarks on sequential estimation of a linear function of two means: The normal case

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Abstract

Asymptotic normality of the stopping time ofMukhopadhyay [1976] relating to the point estimation problem is proved. Also moderate sample size behaviour of this stopping time has been studied by Monte-Carlo methods.

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References

  • Anscombe, F.J.: Large-sample theory of sequential estimation, Proceedings of Cambridge Philosophical Society,46, 1952, 600–607.

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  • Ghosh, M., andN. Mukhopadhyay: Asymptotic normality of stopping times in sequential analysis, 1976.

  • Mukhopadhyay, N.: Sequential estimation of a linear function of means of three normal populations, To appear in JASA (March 1976).

  • Rao, C.R.: Linear Statistical Inference and Its Applications, New York 1965.

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Authors and Affiliations

  1. Department of Mathematics, Monash University, Melbourne, Australia

    N. Mukhopadhyay

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  1. N. Mukhopadhyay
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Mukhopadhyay, N. Remarks on sequential estimation of a linear function of two means: The normal case. Metrika 24, 197–201 (1977). https://doi.org/10.1007/BF01893408

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  • DOI: https://doi.org/10.1007/BF01893408

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