ASYMPTOTIC NORMALITY OF A KERNEL-TYPE ESTIMATOR FOR THE INTENSITY OF A PERIODIC POISSON PROCESS | Zendy

I Wayan Mangku | Zendy

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ASYMPTOTIC NORMALITY OF A KERNEL-TYPE ESTIMATOR FOR THE INTENSITY OF A PERIODIC POISSON PROCESS

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.5.2.13-22

Subject(s) - mathematics , estimator , poisson distribution , continuation , poisson process , kernel (algebra) , asymptotic distribution , local asymptotic normality , mathematical proof , normality , simple (philosophy) , type (biology) , compound poisson process , statistics , pure mathematics , computer science , geometry , programming language , philosophy , epistemology , ecology , biology

In this paper we prove asymptotic normality of a kernel type estimator for the intensity of a periodic Poisson process. This paper is a continuation of [10]. As in [10], we consider the situation when the period is known in order to be able to present simple proofs of the results.

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