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Title: On the restricted range in the samples from the gamma population (English)
Author: Lingappaiah, Giri S.
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 27
Issue: 2
Year: 1982
Pages: 81-86
Summary lang: English
Summary lang: Czech
Summary lang: Russian
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Category: math
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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. (English)
Keyword: gamma distribution
Keyword: multiple range test
Keyword: censored samples
Keyword: restricted range
Keyword: comparison with complete sample case
MSC: 62E15
MSC: 62F03
idZBL: Zbl 0493.62017
idMR: MR0651046
DOI: 10.21136/AM.1982.103949
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Date available: 2008-05-20T18:18:35Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/103949
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Reference: [1] D. B. Duncan: Multiple range and multiple F-tests.Biometrics, 11 (1955), 1 - 42. MR 0068183, 10.2307/3001478
Reference: [2] J. F. Lawless: A prediction problem concerning samples from the exponential distribution with application to life testing.Technometrics 13 (1971), 725 - 730. 10.1080/00401706.1971.10488844
Reference: [3] G. S. Lingappaiah: Prediction in exponential life testing.Canadian Journal of Statistics 1 (1973), 113-117. Zbl 0334.62042, MR 0400599, 10.2307/3314650.o
Reference: [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. Zbl 0318.62080, MR 0365975, 10.1111/j.1467-842X.1974.tb00910.x
Reference: [5] J. K. Levy: An empirical comparison of several multiple range tests for variances.Journal of American Statistical Association 70 (1975), 180-183. Zbl 0309.62029, 10.1080/01621459.1975.10480283
Reference: [6] L. S. Nelson: Use of the range in testing homogeneity of variances.Journal of Quality Technology 7 (1976), 99-100. 10.1080/00224065.1975.11980676
Reference: [7] G. C. McDonald: The distribution of a variate based on independent ranges from a uniform population.Technometrics 18 (1976), 349 - 354. Zbl 0342.62008, MR 0428543
Reference: [8] G. Singh: On the distribution of range of samples from non-normal populations.Biometrika, 57 (1970), 451-456. 10.1093/biomet/57.2.451
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