Premium
Estimation of change point and compound Poisson process parameters for the earthquake data in Turkey
Author(s) -
Aktas Serpîl,
Konsuk Hande,
Yîḡîter Ayten
Publication year - 2009
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.937
Subject(s) - poisson distribution , statistics , compound poisson distribution , poisson regression , magnitude (astronomy) , mathematics , variance (accounting) , count data , estimation , econometrics , distribution (mathematics) , geography , physics , mathematical analysis , engineering , economics , demography , accounting , astronomy , sociology , systems engineering , population
The existence of change point in the Turkish earthquake data is investigated. For this purpose, the 218 earthquake data of magnitude 5 and higher, between the north (39.00–42.00°) and the east (26.00–45.00°) coordinates in Turkey from 12 July 1900 to 28 February 2007 are used. The characteristic function of the magnitude is derived. Poisson distribution is used to describe the recurrence times. In addition, using the compound Poisson process, the expected value and variance are estimated and computed for the loss of life and damaged buildings after the change point. Copyright © 2008 John Wiley & Sons, Ltd.