Article
Full entry |
PDF
(0.8 MB)
Feedback
PDF
(0.8 MB)
Feedback
Keywords:
gamma distribution; multiple range test; censored samples; restricted range; comparison with complete sample case
gamma distribution; multiple range test; censored samples; restricted range; comparison with complete sample case
Summary:
Samples from the gamma population are considered which are censored both above and below, that is, $r$ observations below and $s$ observations above are missing among $n$ observations. The range in such censored samples is taken up and the distribution of this restricted range is obtained, which can be compared with that in the complete sample case given in a previous paper.
References:
[1] D. B. Duncan: Multiple range and multiple F-tests. Biometrics, 11 (1955), 1 - 42. DOI 10.2307/3001478 | MR 0068183
[2] J. F. Lawless: A prediction problem concerning samples from the exponential distribution with application to life testing. Technometrics 13 (1971), 725 - 730. DOI 10.1080/00401706.1971.10488844
[3] G. S. Lingappaiah: Prediction in exponential life testing. Canadian Journal of Statistics 1 (1973), 113-117. DOI 10.2307/3314650.o | MR 0400599 | Zbl 0334.62042
[4] G. S. Lingappaiah: Prediction in samples from the gamma distribution as applied to life testing. The Australian Journal of Statistics 16 (1974), 30-32. DOI 10.1111/j.1467-842X.1974.tb00910.x | MR 0365975 | Zbl 0318.62080
[5] J. K. Levy: An empirical comparison of several multiple range tests for variances. Journal of American Statistical Association 70 (1975), 180-183. DOI 10.1080/01621459.1975.10480283 | Zbl 0309.62029
[6] L. S. Nelson: Use of the range in testing homogeneity of variances. Journal of Quality Technology 7 (1976), 99-100. DOI 10.1080/00224065.1975.11980676
[7] G. C. McDonald: The distribution of a variate based on independent ranges from a uniform population. Technometrics 18 (1976), 349 - 354. MR 0428543 | Zbl 0342.62008
[8] G. Singh: On the distribution of range of samples from non-normal populations. Biometrika, 57 (1970), 451-456. DOI 10.1093/biomet/57.2.451
Search
Partner of
