The arithmetic-geometric mean and the elliptic mean error

Monhor, D. (2003) The arithmetic-geometric mean and the elliptic mean error. Acta Geodaetica et Geophysica Hungarica, 38 (1). pp. 53-60. ISSN 1217-8977

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Abstract

Without any special term, the mathematical definition of a measuring index for reliability of geodetic point was given by Lajos Homoródi. For this index, the term of the elliptic mean error was proposed by the author of the present paper and it was shown that the elliptic mean error is beneficial to the being for characterizing the reliability of geodetic point. It is surprisingly interesting that there is a close relationship between the arithmetic-geometric mean and the elliptic mean error. This phenomenon with relevant mathematical backgrounds is presented.

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