TEST FOR A CHANGE POINT IN POISSON PROCESS WITH APPLICATIONS TO THE BRITISH COAL MINING DISASTERS AND THE AIR TRAFFIC FLOW DATA SET


YİĞİTER A. , Inal C.

ADVANCES AND APPLICATIONS IN STATISTICS, cilt.14, sa.2, ss.145-155, 2010 (ESCI İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Konu: 2
  • Basım Tarihi: 2010
  • Dergi Adı: ADVANCES AND APPLICATIONS IN STATISTICS
  • Sayfa Sayıları: ss.145-155

Özet

In this study, a test is considered for a change point in the occurrence rate of the homogeneous Poisson process. Assume that n events are observed at times S-1, S-2,., S-n. Let S-0 = 0, S-n = T and the occurrence rate lambda(1) switch to lambda(2) at an unknown time point iota (0 < t < T). After given the maximum likelihood estimators of lambda(1),lambda(2),iota, the exact distribution of test statistic is obtained and the test is applied to two data sets both of which are used previous studies: the British coal mining disasters data and the air traffic flow data.