Power of goodness-of-fit tests and some competitive proposals based on progressively type-II censored data from a location-scale distribution

Abstract

In this paper, we review some existing methods for testing goodness-of-fit based on progressively type-II censored samples in the location-scale family of distributions. Also, some similar procedures and new modifications are proposed. Using Monte Carlo simulation, the powers of the reviewed and proposed tests are compared for the normal and Gumbel distributions against several alternatives. Then, we present some results based on the simulation studies. Finally, an application to two datasets is presented for numerical illustration.

Keywords:

• Goodness-of-fit test
• Location-scale family
• Monte Carlo simulation
• Progressive type-II censoring

MATHEMATICS SUBJECT CLASSIFICATION 2010:

• 62N03
• 62F03

Acknowledgements

The authors sincerely thank the corresponding associate editor and the anonymous reviewers for their constructive suggestions and comments, which led to the improved presentation of this article.