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2014 (Vol. 6, Issue: 1)
Article Information:

Study of an Estimate of the Minimum Distance for a Multidimensional Model of a Poisson Process

Demba Bocar Ba
Corresponding Author:  Demba Bocar Ba 

Key words:  Asymptotic normality, non regular model minimum distance estimation, parameter estimation, Poisson processes, , ,
Vol. 6 , (1): 6-11
Submitted Accepted Published
December 04, 2013 January 02, 2014 February 25, 2014

The aim of study is to show that the minimum distance estimator is consistent and asymptotically normal with the usual &radicn rate of convergence for the intensty function of the process Poisson which have a particularty form. We consider the problem of estimation of a multi-dimensional parameter &thetao=(&omega1o, ..., &omegado, &gamma1o, ..., &gammado). We suppose that the unknown parameter is 2d dimensional and the intensity function of the process is smooth the first d components and discontinuous the others d components of this parameter.
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  Cite this Reference:
Demba Bocar Ba, 2014. Study of an Estimate of the Minimum Distance for a Multidimensional Model of a Poisson Process.  Research Journal of Mathematics and Statistics, 6(1): 6-11.
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ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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