Introducing Kolmogorov-Smirnov Tests under Uncertainty: An Application to Radioactive Data

Abstract

The Kolmogorov-Smirnov (K-S) tests based on the assumptions of determined observations in the sample have been popularly applied for the analysis of the data. The existing K-S tests for one sample and two samples cannot be applied when the data contains neutrosophic observations measured from the complex system or under uncertainty. In this paper, we propose the generalization of the existing K-S tests under the neutrosophic statistics. The proposed tests are known as neutrosophic Kolmogorov-Smirnov (NK-S) tests. We present the necessary measures and procedures to perform the proposed tests. An example and advantages of the proposed NK-S tests are given in the paper.