HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Figures Only Full Text Full Text (PDF) Citation Map Services Email this article to a friend Similar articles in this journal Similar articles in ISI Web of Science Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via ISI Web of Science (7) Citing Articles via Google Scholar Google Scholar Articles by Bragato, P. L. Search for Related Content GeoRef GeoRef Citation

Regression Analysis with Truncated Samples and Its Application to Ground-Motion Attenuation Studies

Istituto Nazionale di Oceanografia e di Geofisica Sperimentale
Dipartimento Centro Ricerche Sismologiche
Via Treviso, 55
33100 Cussignacco (UD), Italy
pbragato{at}inogs.it

Manuscript received 30 April 2003.

The estimation of empirical attenuation laws with standard regression techniques commonly assumes the lognormal distribution of the response variable (e.g., peak ground acceleration [PGA]) for fixed values of the predictor variables (e.g., magnitude and distance from the source). Such an assumption may be invalidated by restrictions on the available sample induced by the acquisition system or imposed by the analyst, so that bias may be introduced in the estimation of regression parameters. In this article I analyze the distortion from lognormality due to station triggering. I propose a technique based on truncated regression analysis that does not require knowledge of which stations did not trigger. Furthermore, I introduce randomly truncated regression analysis to deal with thresholds that change randomly over time. This technique is adopted for stations that trigger based on the ratio between a short (STA) and long-term average (LTA) of the signal (STA/LTA ratio). I show the effectiveness of these techniques with applications to the estimation of PGA attenuation relations for both synthetic and real data sets. Real applications will refer to strong motion data from the European area and to weak motion data collected in the Friuli-Venezia Giulia and Veneto regions (northeast Italy).

This article has been cited by other articles:

				P. J. Stafford Conditional Prediction of Absolute Durations Bulletin of the Seismological Society of America, June 1, 2008; 98(3): 1588 - 1594. [Abstract] [Full Text] [PDF]

				B. Pace, L. Peruzza, G. Lavecchia, and P. Boncio Layered Seismogenic Source Model and Probabilistic Seismic-Hazard Analyses in Central Italy Bulletin of the Seismological Society of America, February 1, 2006; 96(1): 107 - 132. [Abstract] [Full Text] [PDF]

				P. L. Bragato Estimating an Upper Limit Probability Distribution for Peak Ground Acceleration Using the Randomly Clipped Normal Distribution Bulletin of the Seismological Society of America, December 1, 2005; 95(6): 2058 - 2065. [Abstract] [Full Text] [PDF]

				P. L. Bragato and A. Tento Local Magnitude in Northeastern Italy Bulletin of the Seismological Society of America, April 1, 2005; 95(2): 579 - 591. [Abstract] [Full Text] [PDF]

				P. L. Bragato and D. Slejko Empirical Ground-Motion Attenuation Relations for the Eastern Alps in the Magnitude Range 2.5-6.3 Bulletin of the Seismological Society of America, February 1, 2005; 95(1): 252 - 276. [Abstract] [Full Text] [PDF]