Abstract
In this paper, we first present the symmetric property of the extropy of record values and some characterisations of exponential distributions. Then a new test for symmetry of the continuous distribution is proposed based on a characterisation result. Our proposed test has an advantage that we do not need to estimate the centre of symmetry. Moreover, for a wide variety of alternative asymmetric distributions, Monte Carlo simulation shows that our test performs better than the competitor tests. Finally, two real data sets are used to illustrate the applicability of the proposed test by monitoring p-values of our test and its competitors.
Mathematics Subject Classification (2010):
Acknowledgments
The authors would like to thank two anonymous referees of the journal, Statistics. This work was supported by the National Nature Science Foundation of China (71871208, 71971204), the Anhui Provincial Natural Science Foundation (1908085MG236), and the Key Program Foundation from the Education Department of Anhui Province (KJ2018A0590, gxbjZD54).
Disclosure statement
No potential conflict of interest was reported by the author(s).