Authors: and
View More View Less
• 1 University of Miskolc Institute of Mathematics 3515 Miskolc, Egyetemváros
• | 2 Miskolci Egyetem Geofizikai Tanszék Egyetemváros HU–3515 Miskolc
Restricted access

As the variance (the square of the minimum L 2-norm, i.e., the square of the scatter) is one of the basic characteristics of the conventional statistics, it is of practical importance to know the errors of its determination for different parent distribution types. This statement is outstandingly valid for the geostatistics because the (h) variogram (called also as semi-variogram) is defined as the half variance of some quantity-difference (e.g. difference of ore concentrations) in function of the h dis- tance of the measuring points and this g (h)-curve plays a basic role in the classical geostatistics. If the scatter (s VAR) is chosen to characterize the determination uncertainties of the variance (denoted the latter by VAR), this can be easily calculate as the quotient A VAR= Ön (if the number n of the elements in the sample is large enough); for the so-called asymptotic scatter A VAR is known a simple formula (containing the fourth moment). The present paper shows that the AVAR has finite value unfortunately only for about a quarter of distribution types occurring in the earth sciences, it must be especially accentuate that A VARhas infinite value for that distribution type which most frequent occurs in the geostatistics. It is proven by the present paper that the law of large numbers is always fulfilled (i.e., the error always decreases if n increases) for the error-determinations if the semi-intersextile range is accepted (instead of the scatter); the single (quite natural) condition is the existence of the theoretical variance for the parent distribution. __

• Cramér H 1945: Mathematical Methods of Statistics. Almqvist and Wiksells, Uppsala

Mathematical Methods of Statistics , ().

• Dutter R 1986/1987: Mathematische Methoden in der Montangeologie. Vorlesungsnotizen, Manuscript, Leoben

Mathematische Methoden in der Montangeologie , ().

• Hajagos B, Steiner F 2000: Acta Geod., Geoph. Hung., 35, 453-463.

() 35 Acta Geod., Geoph. Hung. : 453 -463.

• Steiner F 1990: A geostatisztika alapjai. Tankönyvkiadó, Budapest

A geostatisztika alapjai , ().

• Steiner F (ed.) 1997: Optimum Methods in Statistics. Akadémiai Kiadó, Budapest

AGG Editorial Office
Address: P.O. Box 5, H-9401 Sopron, Hungary
Phone: (36 99) 508 340
Fax: (36 99) 508 355
E-mail: actagg@ggki.hu

• Impact Factor (2019): 0.909
• Scimago Journal Rank (2019): 0.337
• SJR Hirsch-Index (2019): 18
• SJR Quartile Score (2019): Q3 Building and Construction
• SJR Quartile Score (2019): Q3 Geology
• SJR Quartile Score (2019): Q3 Geophysics
• Impact Factor (2018): 0.942
• Scimago Journal Rank (2018): 0.314
• SJR Hirsch-Index (2018): 17
• SJR Quartile Score (2018): Q3 Geology
• SJR Quartile Score (2018): Q3 Geophysics

For subscription options, please visit the website of Springer Nature.

Acta Geodaetica et Geophysica
Language English
Size B5
Year of
Foundation
2013
Volumes
per Year
1
Issues
per Year
4
Founder's
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Nature Switzerland AG
Publisher's
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
ISSN 2213-5812 (Print)
ISSN 2213-5820 (Online)

Feb 2021 0 0 0
Mar 2021 1 0 0
Apr 2021 0 0 0
May 2021 0 0 0
Jun 2021 1 0 0
Jul 2021 1 0 0
Aug 2021 0 0 0

## Thermal models simulating the tectonic processes in the extra-Carpathian area (on the Romanian territory): Rheological models and their interpretation in relation with the local seismic wave attenuation models

Author: M. Tumanian

Author: P. Novák

Author: J. Verő

Author: J. Ádám