Steiner, F. and Hajagos, B.
(2003)
*Relative error of the estimations of different error characteristics.*
Acta Geodaetica et Geophysica Hungarica, 38 (1).
pp. 61-76.
ISSN 1217-8977

Text
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## Abstract

In the present paper 9 error characteristics are detailedly investigated by Monte Carlo calculations in point of view of the fluctuation of their estimates. In all 9 cases the error characteristic is defined as the minimum value of a modern norm of deviations, just in the same manner as in the classical statistics the s scatter was defined as the minimum value of the L2-norm. The results are in Table I summarized and in Figs 1-9 presented for five parent distribution types and for five sample sizes: n = 5; 9; 25; 100 and 400; the statistical fluctuation is characterized by the relative semi-intersextile ranges of the minimum norms (N = 200000 repetition number was chosen in the Monte Carlo calculations). On the basis of the values of Table I the uncertainties can be determined with such accuracy which is seldom required in the practice. Because of the fact that ordinarily 15-20% is accepted as the "error of the error", in the Table III asymptotic values are also given to give possibility to the simplest: according to Aasympt /vn executed calculations.

Item Type: | Article |
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Subjects: | Q Science / természettudomány > QE Geology / földtudományok > QE01 Geophysics / geofizika |

Depositing User: | Endre Sarvay |

Date Deposited: | 22 Jul 2018 10:18 |

Last Modified: | 08 Sep 2018 08:27 |

URI: | http://real.mtak.hu/id/eprint/81983 |

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