On the restricted range in the samples from the gamma population

Giri S. Lingappaiah

Aplikace matematiky (1982)

  • Volume: 27, Issue: 2, page 81-86
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Lingappaiah, Giri S.. "On the restricted range in the samples from the gamma population." Aplikace matematiky 27.2 (1982): 81-86. <http://eudml.org/doc/15227>.

@article{Lingappaiah1982,
abstract = {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.},
author = {Lingappaiah, Giri S.},
journal = {Aplikace matematiky},
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},
language = {eng},
number = {2},
pages = {81-86},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the restricted range in the samples from the gamma population},
url = {http://eudml.org/doc/15227},
volume = {27},
year = {1982},
}

TY - JOUR
AU - Lingappaiah, Giri S.
TI - On the restricted range in the samples from the gamma population
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 2
SP - 81
EP - 86
AB - 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.
LA - eng
KW - 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
UR - http://eudml.org/doc/15227
ER -

References

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  1. D. B. Duncan, 10.2307/3001478, Biometrics, 11 (1955), 1 - 42. (1955) MR0068183DOI10.2307/3001478
  2. J. F. Lawless, 10.1080/00401706.1971.10488844, Technometrics 13 (1971), 725 - 730. (1971) DOI10.1080/00401706.1971.10488844
  3. G. S. Lingappaiah, 10.2307/3314650.o, Canadian Journal of Statistics 1 (1973), 113-117. (1973) Zbl0334.62042MR0400599DOI10.2307/3314650.o
  4. G. S. Lingappaiah, 10.1111/j.1467-842X.1974.tb00910.x, The Australian Journal of Statistics 16 (1974), 30-32. (1974) Zbl0318.62080MR0365975DOI10.1111/j.1467-842X.1974.tb00910.x
  5. J. K. Levy, 10.1080/01621459.1975.10480283, Journal of American Statistical Association 70 (1975), 180-183. (1975) Zbl0309.62029DOI10.1080/01621459.1975.10480283
  6. L. S. Nelson, Use of the range in testing homogeneity of variances, Journal of Quality Technology 7 (1976), 99-100. (1976) 
  7. G. C. McDonald, The distribution of a variate based on independent ranges from a uniform population, Technometrics 18 (1976), 349 - 354. (1976) Zbl0342.62008MR0428543
  8. G. Singh, 10.1093/biomet/57.2.451, Biometrika, 57 (1970), 451-456. (1970) DOI10.1093/biomet/57.2.451

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