output
19932023
most citedGibrat's law for cities: uniformly most powerful unbiased test of the Pareto against the lognormal

184 citations

Showing 2003Show all

5 papers · 1 filter

physics.geo-ph2003★ 71 cited

Reverse Detection of Short-Term Earthquake Precursors

V. Keilis-Borok, P. Shebalin, A. Gabrielov +1

We introduce a new approach to short-term earthquake prediction based on the concept of selforganization of seismically active fault networks. That approach is named "Reverse Detec…

physics.data-an2003★ 67 cited

On Statistical Methods of Parameter Estimation for Deterministically Chaotic Time-Series

V. F. Pisarenko, D. Sornette

We discuss the possibility of applying some standard statistical methods (the least square method, the maximum likelihood method, the method of statistical moments for estimation o…

physics.data-an2003★ 23 cited

Multiscale Trend Analysis

I. Zaliapin, A. Gabrielov, V. Keilis-Borok

This paper introduces a multiscale analysis based on optimal piecewise linear approximations of time series. An optimality criterion is formulated and on its base a computationally…

physics.geo-ph2003★ 80 cited

Towards Landslide Predictions: Two Case Studies

D. Sornette, A. Helmstetter, J. V. Andersen +3

In a previous work [Helmstetter, 2003], we have proposed a simple physical model to explain the accelerating displacements preceding some catastrophic landslides, based on a slider…

math.PR2003★ 2 cited

On the uniqueness of the branching parameter for a random cascade measure

G. Molchan

An independent random cascade measure is specified by a random generator, a vector of dimension c with non-negative components. The dimension c is called the branching cascade para…