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Strategical Test — A Generalization of the Wald’s Sequential Test

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Transactions of the Ninth Prague Conference

Part of the book series: Czechoslovak Academy of Sciences ((TPCI,volume 9A))

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Abstract

It is well known that the Wald’s sequential test terminates with probability one (and simultaneously is in some sense optimal) if a sampled sequence of random variables is independent and identically distributed (i.i.d.). In this paper we shall deal with the Wald’s sequential test constructed for a special sequence of dependent and unidentically distributed random variables. The speciality of the studied sequence of random variables lies in the fact that a controlled mixture of two i.i.d. sequences of random variables is considered.

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References

  • Wald Abraham (1947): Sequential Analysis. John Wiley.

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  • Rao C. R. (1965): Linear Statistical Inference. John Wiley.

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  • Vajda Igor (1970): On the Amount of Information Contained in a Sequence of Ihdependent Observations. Kybernetika 6, No. 2, pp. 3o6–324.

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  • Perez Albert (1972): Generalization of Chernoff’s result on the asymptotic discernibility of two random processes. In: Colloquia math, societatis Jànos Bolyai; 9. European meeting of statisticians, Budapest.

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© 1983 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Jiroušek, R. (1983). Strategical Test — A Generalization of the Wald’s Sequential Test. In: Transactions of the Ninth Prague Conference. Czechoslovak Academy of Sciences, vol 9A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7013-7_41

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  • DOI: https://doi.org/10.1007/978-94-009-7013-7_41

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7015-1

  • Online ISBN: 978-94-009-7013-7

  • eBook Packages: Springer Book Archive

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