WEAK AND STRONG CONVERGENCE OF A KERNEL-TYPE ESTIMATOR FOR THE INTENSITY OF A PERIODIC POISSON PROCESSS | Zendy

I Wayan Mangku | Zendy

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WEAK AND STRONG CONVERGENCE OF A KERNEL-TYPE ESTIMATOR FOR THE INTENSITY OF A PERIODIC POISSON PROCESSS

Author(s) -

I Wayan Mangku

Publication year - 2006

Publication title -

milang journal of mathematics and its applications

Language(s) - English

Resource type - Journals

ISSN - 2963-5233

DOI - 10.29244/jmap.5.1.1-12

Subject(s) - estimator , mathematics , kernel (algebra) , poisson distribution , convergence (economics) , simple (philosophy) , type (biology) , mathematical proof , poisson process , weak convergence , uniform convergence , intensity (physics) , calculus (dental) , pure mathematics , statistics , computer science , physics , geometry , philosophy , dentistry , economic growth , biology , epistemology , economics , computer security , asset (computer security) , computer network , bandwidth (computing) , quantum mechanics , ecology , medicine

In this paper we survey some results on weak and strong convergence of kernel type estimators for the intensity of a periodic Poisson process. We consider the situation when the period is known in order to be able to present simple proofs of the results. For the more general results, which includes the case when the period is unknown, we refer to [15], [16].1991 Mathematics Subject Classication: 60G55, 62G05, 62G20.

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