Kolmogorov-Smirnov APF Test for Inhomogeneous Poisson Processes with Shift Parameter  

作　　者：E. D. Wandji Tanguep D. A. Njamen Njomen E. D. Wandji Tanguep;D. A. Njamen Njomen(Department of Mathematics, Higher Teachers’ Training College, University of Maroua, Maroua, Cameroon;Department of Mathematics and Computer Sciences, Faculty of Sciences, University of Maroua, Maroua, Cameroon)

机构地区：[1]Department of Mathematics, Higher Teachers’ Training College, University of Maroua, Maroua, Cameroon [2]Department of Mathematics and Computer Sciences, Faculty of Sciences, University of Maroua, Maroua, Cameroon

出　　处：《Applied Mathematics》2021年第4期322-335,共14页应用数学（英文）

摘　　要：In this article, we study the Kolmogorov-Smirnov type goodness-of-fit test for the inhomogeneous Poisson process with the unknown translation parameter as multidimensional parameter. The basic hypothesis and the alternative are composite and carry to the intensity measure of inhomogeneous Poisson process and the intensity function is regular. For this model of shift parameter, we propose test which is asymptotically partially distribution free and consistent. We show that under null hypothesis the limit distribution of this statistic does not depend on unknown parameter.In this article, we study the Kolmogorov-Smirnov type goodness-of-fit test for the inhomogeneous Poisson process with the unknown translation parameter as multidimensional parameter. The basic hypothesis and the alternative are composite and carry to the intensity measure of inhomogeneous Poisson process and the intensity function is regular. For this model of shift parameter, we propose test which is asymptotically partially distribution free and consistent. We show that under null hypothesis the limit distribution of this statistic does not depend on unknown parameter.

关 键 词：Inhomogeneous Poisson Process Kolmogorov-Smirnov Type Test Parametric Basic Hypothesis Asymptotic Parameter Free Test Shift Parameter 

分 类 号：O17[理学—数学]