MISTERY OF EARTHQUAKE MOTION PHASE FEATURED AS STOCHSTIC PROCESS

DOI Web Site 5 References Open Access

Bibliographic Information

Other Title
  • 確率過程として見た地震動位相の不可解性

Abstract

 Decomposing the earthquake motion phase into a linear delay part and a fluctuation part, we investigated stochastic characteristics in the discrete phase difference process of fluctuation part. Because the observed earthquake motion phase has the long memory with respect to the circular frequency and results in the self-affine similarity characteristic of phase difference process, it therefore must be expressed by a stochastic process with the fractal nature. Under the premise that the earthquake motion phase is calculated by summing up a discrete stochastic process of phase difference, we assume that the earthquake motion phase can be expressed by a Lubesgue-Stieltjes type integral equation in which the kernel covers a long memory characteristic of earthquake motion phase and the integration function expresses its stochastic characteristic. We also assume the identically independent distribution characteristic on the stochastic nature of integration function. If it has fixed variance and mean values, based on the requirement from the Central Limit Theorem, the proposed stochastic process of earthquake motion phase can express the variance and auto-correlation characteristics of observed earthquake motion phases but it cannot clearly express the all stochastic characteristics of observed earthquake motion phases. We therefore examine the necessary stochastic condition on the integral function.

Journal

References(5)*help

See more

Related Projects

See more

Keywords

Details 詳細情報について

Report a problem

Back to top