标题:Strong Consistency of a Kernel-type Estimator forthe Intensity Obtained as the Product of a PeriodicFunction with the Power Function Trend of aNon-homogeneous Poisson Process
期刊名称:Current Journal of Applied Science and Technology
印刷版ISSN:2457-1024
出版年度:2015
卷号:9
期号:4
页码:383-387
语种:English
出版社:Sciencedomain International
摘要:In [1], a kernel-type estimator for the intensity obtained as the product of a periodic function with the power function trend of a non-homogeneous Poisson process has been formulated. In addition, asymptotic approximations to the bias, variance and mean squared error of this estimator have been established. In this paper, we construct a proof of strong consistency of the estimator proposed in [1].
关键词:Poisson process;periodic intensity function;power function trend;strong consistency;complete convergence