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On Unbiased Estimation of a Common Mean of Two Normal Distributions

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Part of the book series: Lecture Notes in Statistics ((LNS,volume 8))

Abstract

Let X{in1}, X{in2},….,X{inn}, Y{in1}, Y{in2},…, Y{inm} be inaependent normal random variables with EX{in1}=EY{inj}=Θ, Θ ∈ R, Var X{ini} = σ{in1}{su2}, Var Y{inj}=σ{in2}{su2}, σ{in1}> 0, σ{in2}> 0, i=1, …, n, j=1, …, m, n > 1, m > 1.

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References

  1. B. Bednarek-Kezek, A. Kezek, Twe txanplts of strictly convex non-universl less functions. Institute of Mathematics, Pelish Acadmmy of Sciences (1918) Preprint.No 133.

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  2. J A.M. Kagan. Estimation tneary for families with, ltcatitu and scale parameterars, and for exponential familiea. Proc. Stoklov.Inst.Math. 104 (1968) 21–103, Trudy Mat.Inst. Stoklov 104 (1968).

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  3. A. Kezek. ON two necessary 6-fieldf and on universal less functioms. Institute of Mathematics, Polish Academy ofi Sciences, (1979) Preprint No 174 (to appaar in Probability and Mathematical Statistics vol.1 ).

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  4. R.A. Wijsman. Incomplete sufficient statistics and similar tests. Ann.Math. Statist. 29 (1958) 1028–1045.

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© 1981 Springer-Verlag New York Inc.

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Bednarek-Kozek, B. (1981). On Unbiased Estimation of a Common Mean of Two Normal Distributions. In: The First Pannonian Symposium on Mathematical Statistics. Lecture Notes in Statistics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5934-3_4

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  • DOI: https://doi.org/10.1007/978-1-4612-5934-3_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90583-9

  • Online ISBN: 978-1-4612-5934-3

  • eBook Packages: Springer Book Archive

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