Author(s)

E. D. Wandji Tanguep¹, D. A. Njamen Njomen²

¹Department of Mathematics, Higher Teachers’ Training College, University of Maroua, Maroua, Cameroon.
²Department of Mathematics and Computer Sciences, Faculty of Sciences, University of Maroua, Maroua, Cameroon.

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.

Inhomogeneous Poisson Process, Kolmogorov-Smirnov Type Test, Parametric Basic Hypothesis, Asymptotic Parameter Free Test, Shift Parameter

Tanguep, E. and Njomen, D. (2021) Kolmogorov-Smirnov APF Test for Inhomogeneous Poisson Processes with Shift Parameter. Applied Mathematics, 12, 322-335. doi: 10.4236/am.2021.124023.