Nasuda, Ryo; Shimizu, Koki; Hashiguchi, Hiroki Asymptotic behavior of the distributions of eigenvalues for beta-Wishart ensemble under the dispersed population eigenvalues. (English) Zbl 07753678 Commun. Stat., Theory Methods 52, No. 22, 7840-7860 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{R. Nasuda} et al., Commun. Stat., Theory Methods 52, No. 22, 7840--7860 (2023; Zbl 07753678) Full Text: DOI
Nagar, D. K.; Arashi, M.; Nadarajah, S. Bimatrix variate gamma-beta distributions. (English) Zbl 1368.62132 Commun. Stat., Theory Methods 46, No. 9, 4464-4483 (2017). MSC: 62H10 62H05 62E15 PDFBibTeX XMLCite \textit{D. K. Nagar} et al., Commun. Stat., Theory Methods 46, No. 9, 4464--4483 (2017; Zbl 1368.62132) Full Text: DOI
Nagar, Daya K.; Roldán-Correa, Alejandro; Gupta, Arjun K. Matrix variate Macdonald distribution. (English) Zbl 1381.62082 Commun. Stat., Theory Methods 45, No. 5, 1311-1328 (2016). MSC: 62H10 60E05 PDFBibTeX XMLCite \textit{D. K. Nagar} et al., Commun. Stat., Theory Methods 45, No. 5, 1311--1328 (2016; Zbl 1381.62082) Full Text: DOI
Iranmanesh, Anis; Arashi, M.; Nagar, D. K.; Tabatabaey, S. M. M. On inverted matrix variate gamma distribution. (English) Zbl 1298.62085 Commun. Stat., Theory Methods 42, No. 1, 28-41 (2013). MSC: 62H10 62E15 PDFBibTeX XMLCite \textit{A. Iranmanesh} et al., Commun. Stat., Theory Methods 42, No. 1, 28--41 (2013; Zbl 1298.62085) Full Text: DOI
Gupta, Arjun K.; Nagar, Daya K. Some bimatrix beta distributions. (English) Zbl 1237.62069 Commun. Stat., Theory Methods 41, No. 4-6, 869-879 (2012). MSC: 62H10 62E20 33C90 PDFBibTeX XMLCite \textit{A. K. Gupta} and \textit{D. K. Nagar}, Commun. Stat., Theory Methods 41, No. 4--6, 869--879 (2012; Zbl 1237.62069) Full Text: DOI
Kuriki, Satoshi Distributions of the largest singular values of skew-symmetric random matrices and their applications to paired comparisons. (English) Zbl 1318.62169 Commun. Stat., Theory Methods 39, No. 8-9, 1522-1535 (2010). MSC: 62H10 62H15 60B20 62J15 62P99 PDFBibTeX XMLCite \textit{S. Kuriki}, Commun. Stat., Theory Methods 39, No. 8--9, 1522--1535 (2010; Zbl 1318.62169) Full Text: DOI arXiv
Chen, Pinyuen; Hsu, Lifang A selection procedure for the number of signals in presence of colored noise. (English) Zbl 1165.62015 Commun. Stat., Theory Methods 38, No. 10, 1741-1757 (2009). MSC: 62F07 62F25 65C60 62H10 62H25 PDFBibTeX XMLCite \textit{P. Chen} and \textit{L. Hsu}, Commun. Stat., Theory Methods 38, No. 10, 1741--1757 (2009; Zbl 1165.62015) Full Text: DOI
Li, Fei; Xue, Yifeng Zonal polynomials and hypergeometric functions of quaternion matrix argument. (English) Zbl 1167.62415 Commun. Stat., Theory Methods 38, No. 8, 1184-1206 (2009). MSC: 62H10 33C90 60E10 PDFBibTeX XMLCite \textit{F. Li} and \textit{Y. Xue}, Commun. Stat., Theory Methods 38, No. 8, 1184--1206 (2009; Zbl 1167.62415) Full Text: DOI arXiv
Forchini, G. The distribution of a ratio of quadratic forms in noncentral normal variables. (English) Zbl 1141.62322 Commun. Stat., Theory Methods 34, No. 5, 999-1008 (2005). MSC: 62H10 60E05 62E15 PDFBibTeX XMLCite \textit{G. Forchini}, Commun. Stat., Theory Methods 34, No. 5, 999--1008 (2005; Zbl 1141.62322) Full Text: DOI
Sugiyama, Takakazu; Fukuda, Masafumi; Takeda, Yuichi Recurrence relations of coefficients of the generalized hypergeometric function in multivariate analysis. (English) Zbl 0918.62048 Commun. Stat., Theory Methods 28, No. 3-4, 825-837 (1999). MSC: 62H05 62H10 33C20 PDFBibTeX XMLCite \textit{T. Sugiyama} et al., Commun. Stat., Theory Methods 28, No. 3--4, 825--837 (1999; Zbl 0918.62048) Full Text: DOI
Sugiura, Nariaki; Ishibayashi, Hiroki Reference prior Bayes estimator for bivariate normal covariance matrix with risk comparison. (English) Zbl 0954.62539 Commun. Stat., Theory Methods 26, No. 9, 2203-2221 (1997). MSC: 62H12 62C10 62C20 62F15 PDFBibTeX XMLCite \textit{N. Sugiura} and \textit{H. Ishibayashi}, Commun. Stat., Theory Methods 26, No. 9, 2203--2221 (1997; Zbl 0954.62539) Full Text: DOI
Smith, Murray D. Comparing the exact distribution of the \(t\)-statistic to Student’s distribution when its constituent normal and chi-squared variables are dependent. (English) Zbl 0775.62026 Commun. Stat., Theory Methods 21, No. 12, 3589-3600 (1992). MSC: 62E15 PDFBibTeX XMLCite \textit{M. D. Smith}, Commun. Stat., Theory Methods 21, No. 12, 3589--3600 (1992; Zbl 0775.62026) Full Text: DOI
Nel, D. G.; van der Merwe, Cay A.; Moser, B. K. The exact distributions of the univariate and multivariate Behrens-Fisher statistics with a comparison of several solutions in the univariate case. (English) Zbl 0900.62077 Commun. Stat., Theory Methods 19, No. 1, 279-298 (1990). MSC: 62E15 62H10 PDFBibTeX XMLCite \textit{D. G. Nel} et al., Commun. Stat., Theory Methods 19, No. 1, 279--298 (1990; Zbl 0900.62077) Full Text: DOI
Saweris, Nashat; Ali, M. Masoom The distributions of some statistics associated with two multivariate hypotheses under violations in the complex case. (English) Zbl 0900.62265 Commun. Stat., Theory Methods 19, No. 4, 1343-1357 (1990). MSC: 62H10 62H15 PDFBibTeX XMLCite \textit{N. Saweris} and \textit{M. M. Ali}, Commun. Stat., Theory Methods 19, No. 4, 1343--1357 (1990; Zbl 0900.62265) Full Text: DOI
Khatri, C. G. Multivariate generalization of \(t'\)-statistic based on the mean square successive difference. (English) Zbl 0696.62224 Commun. Stat., Theory Methods 18, No. 5, 1983-1992 (1989). MSC: 62H05 PDFBibTeX XMLCite \textit{C. G. Khatri}, Commun. Stat., Theory Methods 18, No. 5, 1983--1992 (1989; Zbl 0696.62224) Full Text: DOI
Gupta, A. K.; Nagar, D. K. Asymptotic expansion of the nonnull distribution of likelihood ratio statistic for testing multisample sphericity. (English) Zbl 0696.62039 Commun. Stat., Theory Methods 17, No. 9, 3145-3155 (1988). MSC: 62E20 62F03 62H15 PDFBibTeX XMLCite \textit{A. K. Gupta} and \textit{D. K. Nagar}, Commun. Stat., Theory Methods 17, No. 9, 3145--3155 (1988; Zbl 0696.62039) Full Text: DOI
Gupta, A. K.; Nagar, D. K. Nonnull distribution of the likelihood ratio criterion for testing equality of covariance matrices under intraclass correlation model. (English) Zbl 0631.62060 Commun. Stat., Theory Methods 16, 3323-3341 (1987). MSC: 62H10 62E20 62H15 33C60 PDFBibTeX XMLCite \textit{A. K. Gupta} and \textit{D. K. Nagar}, Commun. Stat., Theory Methods 16, 3323--3341 (1987; Zbl 0631.62060) Full Text: DOI
Schott, James R. A note on the critical values used in stepwise tests for multiplicative components of interaction. (English) Zbl 0611.62084 Commun. Stat., Theory Methods 15, 1561-1570 (1986). MSC: 62J10 62H15 62H10 PDFBibTeX XMLCite \textit{J. R. Schott}, Commun. Stat., Theory Methods 15, 1561--1570 (1986; Zbl 0611.62084) Full Text: DOI
Dunn, C. L. Application of multiple comparison type procedures to the eigenvalues of \(\Sigma _ 1^{-1}\Sigma _ 2\). (English) Zbl 0608.62074 Commun. Stat., Theory Methods 15, 451-471 (1986). MSC: 62H30 62J15 65C99 PDFBibTeX XMLCite \textit{C. L. Dunn}, Commun. Stat., Theory Methods 15, 451--471 (1986; Zbl 0608.62074) Full Text: DOI
Nagarsenker, B. N.; Nagarsenker, P. B.; Quinn, D. W. Asymptotic expansions of the non-central distribution of Wilks’ statistic in the complex Gaussian case. (English) Zbl 0552.62038 Commun. Stat., Theory Methods 13, 1493-1505 (1984). MSC: 62H10 33C60 PDFBibTeX XMLCite \textit{B. N. Nagarsenker} et al., Commun. Stat., Theory Methods 13, 1493--1505 (1984; Zbl 0552.62038) Full Text: DOI
Suzuki, Manabu Some asymptotic results in the multivariate lognormal estimation theory. (English) Zbl 0569.62022 Commun. Stat., Theory Methods 12, 1761-1774 (1983). Reviewer: R.A.Wijsman MSC: 62F12 62H12 PDFBibTeX XMLCite \textit{M. Suzuki}, Commun. Stat., Theory Methods 12, 1761--1774 (1983; Zbl 0569.62022) Full Text: DOI
Fang, C.; Krishnaiah, P. R.; Nagarsenker, B. N. Asymptotic distributions of the sphericity test in a complex multivariate normal distribution. (English) Zbl 0515.62023 Commun. Stat., Theory Methods 12, 273-288 (1983). MSC: 62E20 62H15 62H10 62M10 PDFBibTeX XMLCite \textit{C. Fang} et al., Commun. Stat., Theory Methods 12, 273--288 (1983; Zbl 0515.62023) Full Text: DOI
Marasinghe, Mervyn G.; Johnson, Dallas E. Estimation of \(\sigma ^ 2\) in the multiplicative interaction model. (English) Zbl 0594.62081 Commun. Stat., Theory Methods 11, 315-324 (1982). MSC: 62J10 62H12 PDFBibTeX XMLCite \textit{M. G. Marasinghe} and \textit{D. E. Johnson}, Commun. Stat., Theory Methods 11, 315--324 (1982; Zbl 0594.62081) Full Text: DOI
Mathai, A. M.; Pillai, K. C. S. Further results on the trace of a noncentral Wishart matrix. (English) Zbl 0521.62042 Commun. Stat., Theory Methods 11, 1077-1086 (1982). MSC: 62H10 62E15 PDFBibTeX XMLCite \textit{A. M. Mathai} and \textit{K. C. S. Pillai}, Commun. Stat., Theory Methods 11, 1077--1086 (1982; Zbl 0521.62042) Full Text: DOI