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Some asymptotic results associated with the chauvenet test for multidimensional random variables

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Abstract

The article presents some results associated with the asymptotic properties of the Chauvenet test for multidimensional random variables.

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Literature cited

  1. L. N. Bol'shev, “Detection of gross errors in observation results,” Int. Summer School on Probability Theory and Math. Statistics [in Russian], Varna (1974), pp. 8–41.

  2. L. N. Bol'shev and M. Ubaidullaeva, “The Chauvenet test in classical theory of errors,” Teor. Veroyatn. Primen.,19, No. 4, 714–723 (1974).

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  3. I. A. Ibragimov and N. M. Khalfina, “Some asymptotic results associated with the Chauvenet test,” Teor. Veroyatn. Primen.,23, No. 3, 615–619 (1978).

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  4. A. A. Borovkov, Probability Theory [in Russian], Nauka, Moscow (1976).

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  5. V. I. Rotar', “A nonuniform bound on the convergence rate in the multidimensional central limit theorem,” Teor. Veroyatn. Primen.,15, No. 4, 647–665 (1970).

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  6. H. Bateman and A. Erderlyi, Higher Transcendental Functions. Hypergeometric Functions. Legendre Functions, McGraw-Hill.

  7. V. V. Petrov, Sums of Independent Random Variables, Springer-Verlag (1975).

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Authors
  1. N. M. Khalfina
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 98, pp. 149–159, 1980.

In conclusion, I would like to acknowledge the constant attention and helpful comments of I. A. Ibragimov.

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Khalfina, N.M. Some asymptotic results associated with the chauvenet test for multidimensional random variables. J Math Sci 21, 99–106 (1983). https://doi.org/10.1007/BF01091460

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  • DOI: https://doi.org/10.1007/BF01091460

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