| Автор | S. Shapiro, Samuel |
| Автор | W. Brain, Carlos |
| Дата выпуска | 1987 |
| dc.description | A new goodness-of-fit test for the two-parameter Weibull distribution or extreme-value (smallest element) distribution with unknown parameters is presented in this paper. The test statistic is based on similar principles used in the derivation of the well known W test for normality. The test statistic is simple to compute and requires no table of constants. Percentiles and power for a wide variety of alternative distributions are estimated via simulation. A comparison of the proposed test with the Mann-Scheuer-Fertig procedure shows that the power of the test for the former is as high or higher than that for the latter. |
| Формат | application.pdf |
| Издатель | Marcel Dekker, Inc. |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Weibull distribution |
| Тема | W-test |
| Тема | extreme value distribution |
| Тема | distributional tests |
| Название | W-test for the weibull distribution |
| Тип | research-article |
| DOI | 10.1080/03610918708812586 |
| Electronic ISSN | 1532-4141 |
| Print ISSN | 0361-0918 |
| Журнал | Communications in Statistics - Simulation and Computation |
| Том | 16 |
| Первая страница | 209 |
| Последняя страница | 219 |
| Аффилиация | S. Shapiro, Samuel; Department of Mathematical Sciences, Florida International University |
| Аффилиация | W. Brain, Carlos; Department of Mathematical Sciences, Florida International University |
| Выпуск | 1 |
| Библиографическая ссылка | D⊃Agostino, R. B. 1971. Linear Estimation of the Weibull Parameters. Technometrics, 13: 171–182. |
| Библиографическая ссылка | Malkovich, J. F and Afiffi, A. A. 1973. On tests of multivariate normality. Journal of the American Statistical Association, 72: 176–179. |
| Библиографическая ссылка | Mann, N. R., Scheuer, E. M and Fertig, K. W. 1973. A New Goodness of Fit Test for the Weibull Distribution or Extreme Value Distribution with Unknown Parameters. Communications in Statistics, 2: 383–400. |
| Библиографическая ссылка | Shapiro, S. S. and Brain, C. W. 1985. “Some new tests for the Weibull and extreme value distributions”. In Colloquia Mathematica Societatis Janos Bolyai 45. Goodness-of-fit, Hungary: Debracen. |
| Библиографическая ссылка | Shapiro, S. S. and Francia, R. S. 1972. An Approximate Analysis of Variance Test for Normality. Journal of the American Statistical Association, 67: 215–216. |
| Библиографическая ссылка | Shapiro, S. S and Wilk, M. B. 1965. An Analysis of Variance Test for Normality (Complete Samples). Biometrika, 52: 591–611. |
| Библиографическая ссылка | Shapiro, S. S and Wilk, M. B. 1972. An Analysis of Variance Test for Normality (Complete Samples). Technometrics, 14: 355–370. |
