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An approximate procedure for fitting observations with unknown weights

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Abstract

One of the two basic asymptotic formulas derived by the author in a previous publication “Fitting of observations with unknown weights by the least squares method” (Trudy Mat. Inst. im. V. A. Steklova AN SSSR,104, 189–214 (1968)) is shown to be preferred to the other in certain cases.

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Literature cited

  1. O. V. Shalaevskii, “Fitting of observations with unknown weights by the least squares method,” Tr. Mat. Inst. Akad. Nauk SSSR,104, 189–214 (1968).

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  2. J. Hajek, “Inequalities for the generalized Student's distribution and their applications,” Selected Translations Math. Stat. and Prob., Vol. 2, AMS (1962), pp. 63–74.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 74, pp. 139–144, 1977.

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Shalaevskii, O.V. An approximate procedure for fitting observations with unknown weights. J Math Sci 34, 1446–1449 (1986). https://doi.org/10.1007/BF01085012

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  • DOI: https://doi.org/10.1007/BF01085012

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