On the power of goodness-of-fit tests for the exponential distribution under progressive Type-II censoring

ABSTRACT

The aim of this article is to review existing goodness-of-fit tests for the exponential distribution under progressive Type-II censoring and to provide some new ideas and adjustments. In particular, we consider two-parameter exponentially distributed random variables and adapt the proposed test procedures to our scenario if necessary. Then, we compare their power by an extensive simulation study. Furthermore, we propose five new test procedures that provide reasonable alternatives to those already known.

Keywords:

• Goodness-of-fit test
• progressive Type-II censoring
• exponential distribution
• power study

2010 Mathematics Subject Classifications:

• 62N03
• 62F03

Acknowledgments

The authors are grateful to an anonymous reviewer for pointing out the relevance of the reference Park and Pakyari [14].

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Erhard Cramer  http://orcid.org/0000-0001-8354-5425