STOCHASTIC DISCUSSION CONCERNING EARTHQUAKE RESPONSE SPECTRA

Computation of Earthquake Response via Fourier Amplitude Spectra

A theoretical relation is presented between the seismological Fourier amplitude spectrumand the mean squared value of the elastic response, which is defined by Gaussian distribution. Byshifting a general process to its mean value, spectrum of the mean squared value of the displacementis computed from the Fourier amplitude spectrum and the real part of the relative displacementtransfer function ...

Stochastic Models for Earthquake Sequences

Although my title refers specifically to earthquake sequences, I would like to use this topic to illustrate some aspects of a more general theme, the roleof stochastic models in a science such as geophysics. One reason for pursuing such generalities, even at a Conference where I know the main interest will be on new discoveries and techniques, is a concern that the role of stochastic models is ...

Stochastic Synthesis of Earthquake Catalogs

A model of earthquake occurrence is proposed that is based on results of statistical studies of earthquake catalogs. We assume that each earthquake g nerates additional shock• •h a probability that depends on time as t -'1 . This assumption together with one regarding the independence of branching events on adjacent branches of the event 'tree,' is sufficient to permit the generation of complet...

Incorporated Righteousness: a Response to Recent Evangelical Discussion concerning the Imputation of Christ’s Righteousness in Justification

In the last ten years biblical and theological scholarship has witnessed an increasing amount of interest in the doctrine of justification. This resurgence can be directly attributed to issues emerging from recent ProtestantCatholic dialogue on justification and the exegetical controversies prompted by the New Perspective on Paul. Central to discussion on either front is the topic of the imputa...

On a Conjecture concerning Doubly Stochastic Matrices