Correcting the Gutenberg–Richter b-value for effects of rounding and noise  

作　　者：V.H.Márquez-Ramírez F.A.Nava F.R.Zúiga 

机构地区：[1]UNAM Campus Querétaro, México, Centro de Geociencias,Blvd.Juriquilla No 3001, 76230 México, Querétaro, México [2]Seismology Department, CICESE, Carretera Ensenada-Tijuana No 3918, Zona Playitas, 22860 Ensenada, BC, México

出　　处：《Earthquake Science》2015年第2期129-134,共6页地震学报（英文版）

基　　金：partially funded by UNAMDGAPA postdoctoral scholarship(VH Márquez-Ramírez);CONACYT grant 222795;UNAM-DGAPA-PAPIIT grant IN108115

摘　　要：The effects of magnitude rounding and of the presence of noise in the rounded magnitudes on the estimation of the Gutenberg-Richter b-value are explored, and the ways to correct for these effects are proposed. For typical values, b = 1 and rounding interval △M = 0.1, the rounding error is approximately -10^-3 and it can be corrected to a negligible approximately -10^-5. For the same typical values, the effect of noise can be larger, depending on the characteristics of the noise distribution; for normally distributed noise with standard deviation σ = 0.1, the correct b-value may be underestimated by a factor - 0.97.The effects of magnitude rounding and of the presence of noise in the rounded magnitudes on the estimation of the Gutenberg-Richter b-value are explored, and the ways to correct for these effects are proposed. For typical values, b = 1 and rounding interval △M = 0.1, the rounding error is approximately -10^-3 and it can be corrected to a negligible approximately -10^-5. For the same typical values, the effect of noise can be larger, depending on the characteristics of the noise distribution; for normally distributed noise with standard deviation σ = 0.1, the correct b-value may be underestimated by a factor - 0.97.

关 键 词：B-VALUE Noise MAGNITUDE 

分 类 号：P315[天文地球—地震学]