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Siotani, M.

Tolerance regions for a multivariate normal population. (English) Zbl 0124.09605

Ann. Inst. Stat. Math. 16, The twentieth Anniversary Volume, Part I, 135-153 (1964).
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Cited in 9 Documents

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statistics
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[1] S. Geisser, ”The distribution of the ratios of certain quadratic forms in time series,” Ann. Math. Statist., 28 (1957), 724–730. · Zbl 0086.35406 · doi:10.1214/aoms/1177706884
[2] A. Grad and H. Solomon, ”Distribution of quadratic forms and some applications,” Ann. Math. Statist., 26 (1955), 464–477. · Zbl 0066.38301 · doi:10.1214/aoms/1177728491
[3] J. Gurland, ”Distribution of definite and of indefinite quadratic forms,” Ann. Math. Statist., 26 (1955), 122–127. · Zbl 0064.12902 · doi:10.1214/aoms/1177728600
[4] J. Gurland, ”Quadratic forms in normally distributed random variables,” Sankhya, 17 (1956), 37–50. · Zbl 0074.12901
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[9] K. Pearson (editor), Tables of the Incomplete Gamma-Function, Biometrika office, London, 1951.
[10] H. Robbins, ”The distribution of a definite quadratic form,” Ann. Math. Statist., 19 (1948), 266–270. · Zbl 0032.17202 · doi:10.1214/aoms/1177730252
[11] S. N. Roy and R. C. Bose, ”Simultaneous confidence interval estimation,” Ann. Math. Statist., 24 (1953), 513–536. · Zbl 0052.15403 · doi:10.1214/aoms/1177728912
[12] S. N. Roy, ”Some further results in simultaneous confidence interval estimation,” Ann. Math. Statist., 25 (1954), 752–761. · Zbl 0057.35401 · doi:10.1214/aoms/1177728661
[13] S. N. Roy and R. Gnanadesikan, ”Further contributions to multivariate confidence bounds,” Biometrika, 44 (1957), 289–292. · Zbl 0084.36003
[14] S. N. Roy, Some Aspects of Multivariate Analysis, John Wiley and Sons, New York, 1957. · Zbl 0083.19305
[15] S. N. Roy and R. E. Bargmann, ”Tests of multiple independence and the associated confidence bounds,” Ann. Math. Statist., 29 (1958), 491–503. · Zbl 0087.15405 · doi:10.1214/aoms/1177706624
[16] S. N. Roy and R. E. Potthoff, ”Confidence bounds on vector analogues of the ’ratio of means” and the ’ratio of variances’ for two correlated normal variates and some associated tests,” Ann. Math. Statist., 29 (1958), 829–841. · Zbl 0086.35301 · doi:10.1214/aoms/1177706539
[17] B. K. Shah and C. G. Khatri, ”Distribution of a definite quadratic form for noncentral normal variates,” Ann. Math. Statist., 32 (1961), 883–887. · Zbl 0111.34105 · doi:10.1214/aoms/1177704981
[18] H. Solomon, ”On the distribution of quadratic forms in normal variables,” Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Berkeley and Los Angeles, University of California, I (1961), 645–653.
[19] A. Wald and J. Wolfowitz, ”Tolerance limits for a normal distribution,” Ann. Math. Statist., 17 (1946), 208–215. · Zbl 0063.08130 · doi:10.1214/aoms/1177730981
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