A New Empirical Relation between Surface Wave Magnitude and Rupture Length for Turkey Earthquakes

Earth sciences research journal

Öztürk, Serkan¹ 

[1] Gümüşhane University, Gümüşhane, Turkey

关键词: Turkey;    correlation coefficient;    L1;    L2;    Orthogonal;    Robust regression.;   

DOI  :  10.15446/esrj.v18n1.36910

学科分类：天文学(综合)

来源: Universidad Nacional de Colombia * Departamento de Geociencias

【 摘 要 】

Many practical problems encountered in quantitative oriented disciplines entail finding the best approximate solution to an over determined system of linear equations. In this study, it is investigated the usage of different regression methods as a theoretical, practical and correct estimation tool in order to obtain the best empirical relationship between surface wave magnitude and rupture length for Turkey earthquakes. For this purpose, a detailed comparison is made among four different regression norms: (1) Least Squares, (2) Least Sum of Absolute Deviations, (3) Total Least Squares or Orthogonal and, (4) Robust Regressions. In order to assess the quality of the fit in a linear regression and to select the best empirical relationship for data sets, the correlation coefficient as a quite simple and very practicable tool is used.

【 授权许可】

CC BY