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Further contributions to some inequalities for normal distributions and their applications to simultaneous confidence bounds

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References

  1. Anderson, T. W. (1955). The integral of a symmetric unimodal function over a symmetric convex set and some probabilities inequalities,Proc. Amer. Math. Soc.,6, 170–176.

    Article  MATH  MathSciNet  Google Scholar 

  2. DasGupta, S., Mudholkar, G. S. and Anderson, T. W. (1964). Monotonicity of the power functions of some tests of the multivariate linear hypothesis,Ann. Math. Statist.,35, 200–205.

    MathSciNet  Google Scholar 

  3. Dunn, Olive Jean (1958). Estimation of the means of dependent variables,Ann. Math. Statist.,29, 1095–1111.

    MATH  MathSciNet  Google Scholar 

  4. Khatri, C. G. (1967). On certain inequalities for normal distributions and their applications to simultaneous confidence bounds,Ann. Math. Statist.,34, 1853–1867.

    MathSciNet  Google Scholar 

  5. Scott, Alastair (1967). A note on conservative confidence regions for the mean of a multivariate normal,Ann. Math. Statist.,38, 278–280.

    MATH  MathSciNet  Google Scholar 

  6. Sidak, Zbynek (1965) Rectangular confidence regions for means of multivariate normal distributions,35th Sesssion of the International Statistical Institute, Belgrade.

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Khatri, C.G. Further contributions to some inequalities for normal distributions and their applications to simultaneous confidence bounds. Ann Inst Stat Math 22, 451–458 (1970). https://doi.org/10.1007/BF02506363

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