Power Loss for Inhomogeneous Poisson Processes

References

• Bening , V. E. ( 2000 ). Asymptotic Theory of Testing Statistical Hypotheses . Utrecht : VSP .
   Google Scholar
• Dachian , S. , Kutoyants , Yu. A. ( 2006 ) Hypotheses testing: Poisson versus self-exciting . Scand. J. Statist. 33 : 391 – 408 .
   Web of Science ®Google Scholar
• Daley , D. J. , Vere-Jones , D. ( 1988 ). An Introduction to the Theory of Point Processes . New York : Springer .
   Google Scholar
• Davies , R. ( 1977 ). Testing the hypothesis that a point process is Poisson . Adv. Appl. Probab. 9 : 724 – 746 .
   Web of Science ®Google Scholar
• Fazli , Kh. ( 2006 ). Tests d'hypothèses asymptotiquement optimaux pour les processus de Poisson non homogènes. Thèse de doctorat de l'Université du Maine, 2006 (accessible at http://www.univ-lemans.fr/sciences/statist/pages_ persos/exthesard.html#fazli) .
   Google Scholar
• Fazli , Kh. ( 2007 ). Second order efficient test for inhomogeneous Poisson processes . Statist. Infer. Stochastic Process. 10 : 181 – 208 .
   Google Scholar
• Fazli , Kh. ( 2009 ). Hypotheses testing for a multidimensional parameter of inhomogeneous Poisson processes . Statistics 42 : 407 – 428 .
   Web of Science ®Google Scholar
• Ingster , Yu. I. , Kutoyants , Yu. A. ( 2007 ) Nonparametric hypothesis testing for intensity of the Poisson process . Mathemat. Meth. Statist. 16 : 217 – 245 .
   Google Scholar
• Krickeberg , K. ( 1982 ). Processus ponctuels en statistique . In: Dold , A. , Eckmann , B. , eds. Lecture Notes Math., Ecole d'Eté de Probabilités de Saint-Flour – 1980 , LNM 929 , Berlin : Springer , pp. 205 – 313 .
   Google Scholar
• Kutoyants , Yu. A. ( 1998 ). Statistical Inference for Spatial Poisson Processes . New York : Springer .
   Google Scholar
• Pitman , E. J. G. ( 1948 ). Lecture Notes on Nonparametric Statistical Inferences . New York : Columbia University Press .
   Google Scholar
• Roussas , G. G. ( 1972 ). Contiguity of Probability Measure . Cambridge : Cambridge University Press .
   Google Scholar
• Snyder , D. R. , Miller , M. I. ( 1991 ). Random Point Processes in Time and Space . New York : Springer .
   Google Scholar