Open AccessApplication of the negative binomial to earthquake occurrences in the Alpide‐Himalayan belt
Author(s) -
Rao N. Madhava,
Kaila K. L.
Publication year - 1986
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1986.tb04513.x
Subject(s) - induced seismicity , negative binomial distribution , poisson distribution , seismology , geology , magnitude (astronomy) , range (aeronautics) , binomial (polynomial) , poisson regression , statistics , mathematics , engineering , physics , astronomy , aerospace engineering , population , demography , sociology
Summary . Shallow focus earthquakes ( h ≤ 60 km) of magnitude range M = 4.0–6.0, occurred during 1954–75 in various high seismicity zones of the Alpide‐Himalayan belt have been tested by the Poisson and the negative binomial laws. When the clustering of events make the simple Poisson model inapplicable in most of the high seismicity zones of the Alpide‐Himalayan belt it has been shown that the negative binomial entries provide an excellent model for describing the earthquake occurrences. The chi‐square ( X 2 ) test is employed for testing the actual observations with theoretical distributions.