
Some Applications of the Maximum Likelihood Method in Seismology
Author(s) -
Pisarenko V. F.
Publication year - 1970
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1970.tb01794.x
Subject(s) - maximum likelihood , estimator , amplitude , geology , phase (matter) , seismology , maximum likelihood sequence estimation , seismogram , mathematics , geodesy , statistics , physics , optics , quantum mechanics
Summary The standard procedure of maximum likelihood estimation is stated. This procedure is applied to derive maximum likelihood estimators in some seismological problems, namely amplitude and phase corrections, group and phase velocities of surface waves and derivatives of traveltime curves dt/dΔ . The formulas for confidence regions for these functions are obtained.