New tests for exponentiality against new better than used inpth quantile
| Autor: | Noël Veraverbeke, Paul Janssen, Jan Swanepoel |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Statistics and Probability
Exponential distribution Monte Carlo method Null (mathematics) characterisation exponential distribution hazard rate function new better than used in pth quantile testing U-quantile Winsorised mean Sample (statistics) Sample size determination Statistics Econometrics Range (statistics) Statistics Probability and Uncertainty Statistical hypothesis testing Mathematics Quantile |
| Zdroj: | Journal of Nonparametric Statistics. 21:85-97 |
| ISSN: | 1029-0311 1048-5252 |
| DOI: | 10.1080/10485250802454953 |
| Popis: | A new characterisation of the exponential distribution in a wide class of new better than used in pth quantile (NBUp) lifetime distributions is presented. This leads to new classes of scale-free goodness-of-fit tests for exponentiality against NBUp alternatives. The limiting distributions of the test statistics under the null and alternative hypotheses are derived and the tests are shown to be consistent against NBUp alternatives. Pitman efficacies are calculated and a limited Monte Carlo study is conducted to compare the tests with regard to power for small and moderate sample sizes against a range of alternative distributions. On the basis of overall good performance and ease of computation, a member of the class of test statistics which is based on the sample Winsorised mean is recommended as a scale-free goodness-of-fit test for the exponential distribution. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|