Bai, Z. D.; Krishnaiah, P. R.; Sambamoorthi, N.; Zhao, L. C. Model selection for log-linear models. (English) Zbl 0764.62048 Sankhyā, Ser. B 54, No. 2, 200-219 (1992). MSC: 62H17 62F03 62F12 PDFBibTeX XMLCite \textit{Z. D. Bai} et al., Sankhyā, Ser. B 54, No. 2, 200--219 (1992; Zbl 0764.62048)
Bai, Zhidong; Krishnaiah, P. R. Variable selection in logistic regression. (English) Zbl 0741.62057 J. China Univ. Sci. Technol. 21, No. 2, 137-145 (1991). Reviewer: A.M.Kshirsagar (Ann Arbor) MSC: 62H12 62H15 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{P. R. Krishnaiah}, J. China Univ. Sci. Technol. 21, No. 2, 137--145 (1991; Zbl 0741.62057)
Krishnaiah, P. R. (ed.); Rao, C. R. (ed.) [Deming, W. E.; Bastani, F. B.; Ramamoorthy, C. V.; Johnson, R. A.; Mazumdar, M.; Mazzuchi, T. A.; Singpurwalla, N. D.; Joag-Dev, K.; Chaganti, N. R.; Woodruff, B. W.; Moore, A. H.; Block, H. W.; Savits, T. H.; Gupta, S. S.; Panchapakesan, S.; Boland, P. J.; Proschan, F.; Bhattacharjee, M. C.; Guess, F.; Barlow, R. E.; Mimmack, G. M.; Pau, L. F.; Padgett, W. J.; Alt, F. B.; Smith, N. D.; Hoadley, B.; Krishnaiah, P. R.; Miao, B. Q.; Czörgö, M.; Horwáth, L.; El-Neweihi, E.; Sethuraman, J.; Harter, H. L.; Basu, A. P.; Iyengar, S.; Patwardhan, G.] Quality control and reliability. (English) Zbl 0673.62089 Handbook of Statistics, 7. Amsterdam etc.: North-Holland. xiv, 473 p. $ 120.00; Dfl. 290.00 (1988). Reviewer: B.Rauhut MSC: 62N05 62P30 62-02 PDFBibTeX XMLCite \textit{P. R. Krishnaiah} (ed.) and \textit{C. R. Rao} (ed.), Quality control and reliability. Amsterdam etc.: North-Holland (1988; Zbl 0673.62089)
Pukkila, Tarmo M.; Krishnaiah, Paruchuri R. On the use of autoregressive order determination criteria in multivariate white noise tests. (English) Zbl 0656.62099 IEEE Trans. Acoust. Speech Signal Process. 36, No. 9, 1396-1403 (1988). MSC: 62M10 62H15 PDFBibTeX XMLCite \textit{T. M. Pukkila} and \textit{P. R. Krishnaiah}, IEEE Trans. Acoust. Speech Signal Process. 36, No. 9, 1396--1403 (1988; Zbl 0656.62099) Full Text: DOI
Pukkila, Tarmo M.; Krishnaiah, Paruchuri R. On the use of autoregressive order determination criteria in univariate white noise tests. (English) Zbl 0647.62083 IEEE Trans. Acoust. Speech Signal Process. 36, No. 5, 764-774 (1988). MSC: 62M07 62M10 PDFBibTeX XMLCite \textit{T. M. Pukkila} and \textit{P. R. Krishnaiah}, IEEE Trans. Acoust. Speech Signal Process. 36, No. 5, 764--774 (1988; Zbl 0647.62083) Full Text: DOI
Krishnaiah, P. R.; Sarkar, Shakuntala Principal component analysis under correlated multivariate regression equations model. (English) Zbl 0649.62052 Probability theory and mathematical statistics, Proc. 4th Conf., Vilnius/USSR 1985, Vol. 2, 103-116 (1987). MSC: 62H15 62H25 62E20 62J05 PDFBibTeX XML
Bhaskara Rao, M.; Krishnaiah, P. R.; Subramanyam, K. A structure theorem on bivariate positive quadrant dependent distributions and tests for independence in two-way contingency tables. (English) Zbl 0627.62056 J. Multivariate Anal. 23, 93-118 (1987). MSC: 62H05 62H15 62H17 PDFBibTeX XMLCite \textit{M. Bhaskara Rao} et al., J. Multivariate Anal. 23, 93--118 (1987; Zbl 0627.62056) Full Text: DOI
Sarkar, Shakuntala; Krishnaiah, P. R. Tests for sphericity under correlated multivariate regression equations model. (English) Zbl 0622.62020 Ann. Inst. Stat. Math. 39, 163-175 (1987). Reviewer: N.Sugiura MSC: 62E20 62H15 62H10 PDFBibTeX XMLCite \textit{S. Sarkar} and \textit{P. R. Krishnaiah}, Ann. Inst. Stat. Math. 39, No. 1--2, 163--175 (1987; Zbl 0622.62020)
Kariya, T.; Fujikoshi, Y.; Krishnaiah, P. R. On tests for selection of variables and independence under multivariate regression models. (English) Zbl 0614.62065 J. Multivariate Anal. 21, 207-237 (1987). Reviewer: A.M.Kshirsagar MSC: 62H15 62J10 62H10 PDFBibTeX XMLCite \textit{T. Kariya} et al., J. Multivariate Anal. 21, 207--237 (1987; Zbl 0614.62065) Full Text: DOI
Zhao, L. C.; Krishnaiah, P. R.; Bai, Z. D. On detection of the number of signals when the noise covariance matrix is arbitrary. (English) Zbl 0617.62056 J. Multivariate Anal. 20, 26-49 (1986). Reviewer: Fang Kai-Tai MSC: 62H15 15A18 62H99 PDFBibTeX XMLCite \textit{L. C. Zhao} et al., J. Multivariate Anal. 20, 26--49 (1986; Zbl 0617.62056) Full Text: DOI
Zhao, L. C.; Krishnaiah, P. R.; Bai, Z. D. On detection of the number of signals in presence of white noise. (English) Zbl 0617.62055 J. Multivariate Anal. 20, 1-25 (1986). Reviewer: Fang Kai-Tai MSC: 62H15 62H25 15A18 62H99 PDFBibTeX XMLCite \textit{L. C. Zhao} et al., J. Multivariate Anal. 20, 1--25 (1986; Zbl 0617.62055) Full Text: DOI
Fang, C.; Krishnaiah, P. R. On asymptotic distribution of the test statistic for the mean of the non- isotropic principal component. (English) Zbl 0612.62077 Commun. Stat., Simulation Comput. 15, 1163-1168 (1986). MSC: 62H10 62E20 62H25 62H15 PDFBibTeX XMLCite \textit{C. Fang} and \textit{P. R. Krishnaiah}, Commun. Stat., Simulation Comput. 15, 1163--1168 (1986; Zbl 0612.62077) Full Text: DOI
Krishnaiah, P. R.; Lin, Jugan Complex elliptically symmetric distributions. (English) Zbl 0607.62052 Commun. Stat., Theory Methods 15, 3693-3718 (1986). Reviewer: K.S.Miller MSC: 62H05 60E05 62H15 62F35 PDFBibTeX XMLCite \textit{P. R. Krishnaiah} and \textit{J. Lin}, Commun. Stat., Theory Methods 15, 3693--3718 (1986; Zbl 0607.62052) Full Text: DOI
Liang, Wen-Qi; Krishnaiah, P. R. Nonparametric iterative estimation of multivariate binary density. (English) Zbl 0558.62034 J. Multivariate Anal. 16, 162-172 (1985). MSC: 62G05 62H12 62N05 PDFBibTeX XMLCite \textit{W.-Q. Liang} and \textit{P. R. Krishnaiah}, J. Multivariate Anal. 16, 162--172 (1985; Zbl 0558.62034) Full Text: DOI
Sen, P. K.; Krishnaiah, P. R. Selected tables for nonparametric statistics. (English) Zbl 0596.62119 Nonparametric methods, Handb. Stat. 4, 937-958 (1984). MSC: 62Q05 62G10 PDFBibTeX XML
Kariya, Takeaki; Fujikoshi, Yasunori; Krishnaiah, P. R. Test for independence of two multivariate regression equations with different design matrices. (English) Zbl 0558.62047 J. Multivariate Anal. 15, 383-407 (1984). Reviewer: Y.Qu MSC: 62H15 62J05 62E20 62P20 PDFBibTeX XMLCite \textit{T. Kariya} et al., J. Multivariate Anal. 15, 383--407 (1984; Zbl 0558.62047) Full Text: DOI
Kariya, T.; Krishnaiah, P. R.; Rao, C. R. Inference on parameters of multivariate normal populations when some data is missing. (English) Zbl 0559.62042 Dev. Stat. 4, 137-184 (1983). Reviewer: A.K.Gupta MSC: 62H12 62H15 62F05 PDFBibTeX XML
Fang, C.; Krishnaiah, P. R. On asymptotic distributions of test statistics for covariance matrices and correlation matrices. (English) Zbl 0542.62010 Studies in econometrics, time series, and multivariate statistics, Commem. T. W. Anderson’s 65th Birthday, 419-435 (1983). Reviewer: Z.Lin MSC: 62E20 62H10 62F05 62H15 62F35 PDFBibTeX XML
Krishnaiah, P. R.; Lee, J. C.; Chang, T. C. Likelihood ratio tests on covariance matrices and mean vectors of complex multivariate normal populations and their applications in time series. (English) Zbl 0537.62042 Time series in the frequency domain, Handb. Stat. 3, 439-476 (1983). Reviewer: K.S.Miller MSC: 62H15 62H10 62M10 PDFBibTeX XML
Kres, Heinz [Läuter, Jürgen; Lienert, G. A.; Ludwig, O.; Rockenfeller, K.; Bailey, B. J. R.; Lee, J. C.; Chang, T. C.; Krishnaiah, P. R.] Statistical tables for multivariate analysis. A handbook with references to applications. Transl. from the German by Peter Wadsack. (English) Zbl 0534.62089 Springer Series in Statistics. New York etc.: Springer-Verlag. XXII, 504 p. DM 159.00; $ 61.70 (1983). Reviewer: H.Grimm MSC: 62Q05 62H10 62H15 62-02 PDFBibTeX XML
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
Sarkar, S. K.; Sinha, B. K.; Krishnaiah, P. R. Some tests with unbalanced data from a bivariate normal population. (English) Zbl 0506.62036 Ann. Inst. Stat. Math. 35, 63-75 (1983). MSC: 62H15 PDFBibTeX XMLCite \textit{S. K. Sarkar} et al., Ann. Inst. Stat. Math. 35, 63--75 (1983; Zbl 0506.62036)
Fang, C.; Krishnaiah, P. R.; Nagarsenker, B. N. Asymptotic distributions of the likelihood ratio test statistics for covariance structures of the complex multivariate normal distributions. (English) Zbl 0496.62018 J. Multivariate Anal. 12, 597-611 (1982). MSC: 62E20 62H10 62H15 PDFBibTeX XMLCite \textit{C. Fang} et al., J. Multivariate Anal. 12, 597--611 (1982; Zbl 0496.62018) Full Text: DOI
Fang, C.; Krishnaiah, P. R. Asymptotic distributions of functions of the eigenvalues of the real and complex noncentral Wishart matrices. (English) Zbl 0482.62043 Statistics and related topics, Proc. int. Symp., Ottawa 1980, 89-108 (1981). MSC: 62H10 62E20 62H25 62H15 PDFBibTeX XML
Krishnaiah, P. R.; Mudholkar, G. S.; Subbaiah, P. Simultaneous test procedures for mean vectors and covariance matrices. (English) Zbl 0477.62059 Analysis of variance, Handb. Stat., Vol. 1, 631-671 (1980). MSC: 62J15 62H15 62-04 PDFBibTeX XML
Krishnaiah, P. R.; Lee, Jack C. Likelihood ratio tests for mean vectors and covariance matrices. (English) Zbl 0469.62040 Analysis of variance, Handb. Stat., Vol. 1, 513-570 (1980). MSC: 62H15 PDFBibTeX XML
Krishnaiah, P. R.; Yochmowitz, M. G. Inference on the structure of interaction in two-way classification model. (English) Zbl 0462.62054 Analysis of variance, Handb. Stat., Vol. 1, 973-994 (1980). MSC: 62J10 62F03 PDFBibTeX XML
Cox, C. M.; Krishnaiah, P. R.; Lee, J. C.; Reising, J.; Schuurmann, F. J. A study on finite intersection tests for multiple comparisons of means. (English) Zbl 0434.62054 Multivariate analysis V, Proc. 5th int. Symp., Pittsburgh 1978, 435-466 (1980). MSC: 62J15 62H15 PDFBibTeX XML
Krishnaiah, P. R. Some developments on simultaneous test procedures. (English) Zbl 0464.62044 Developments in statistics, Vol. 2, 157-201 (1979). MSC: 62H15 62J15 62J05 62H10 PDFBibTeX XML
Krishnaiah, P. R.; Lee, Jack C. On the asymptotic joint distributions of certain functions of the eigenvalues of four random matrices. (English) Zbl 0408.62043 J. Multivariate Anal. 9, 248-258 (1979). MSC: 62H10 62H15 62H20 62H25 62E20 PDFBibTeX XMLCite \textit{P. R. Krishnaiah} and \textit{J. C. Lee}, J. Multivariate Anal. 9, 248--258 (1979; Zbl 0408.62043) Full Text: DOI
Krishnaiah, P. R. Some recent developments on real multivariate distributions. (English) Zbl 0415.62035 Developments in statistics, Vol. 1, 135-169 (1978). MSC: 62H10 15B52 62H15 15A18 PDFBibTeX XML
Chang, T. C.; Krishnaiah, P. R.; Lee, J. C. Approximations to the distributions of the likelihood ratio statistics for testing the hypotheses on covariance matrices and mean vectors simultaneously. (English) Zbl 0373.62032 Appl. of Stat., Proc. Symp., Dayton 1976, 97-108 (1977). MSC: 62H15 PDFBibTeX XML
Krishnaiah, P. R.; Lee, Jack C. Inference on the eigenvalues of the covariance matrices of real and complex multivariate normal populations. (English) Zbl 0366.62060 Multivar. Anal. IV, Proc. 4th int. Symp., Dayton 1975, 95-103 (1977). MSC: 62H10 62E20 62H15 PDFBibTeX XML
Lee, Jack C.; Chang, T. C.; Krishnaiah, P. R. Approximations to the distributions of the likelihood ratio statistics for testing certain structures on the covariance matrices of real multivariate normal populations. (English) Zbl 0364.62055 Multivar. Anal. IV, Proc. 4th int. Symp., Dayton 1975, 105-118 (1977). MSC: 62H10 62H15 62F05 PDFBibTeX XML
Krishnaiah, P. R.; Lee, Jack C. On covariance structures. (English) Zbl 0412.62032 Sankhyā, Ser. A 38, 357-371 (1976). MSC: 62H15 62J10 PDFBibTeX XMLCite \textit{P. R. Krishnaiah} and \textit{J. C. Lee}, Sankhyā, Ser. A 38, 357--371 (1976; Zbl 0412.62032)
Lee, Jack C.; Krishnaiah, P. R.; Chang, T. C. On the distribution of the likelihood ratio test statistic for compound symmetry. (English) Zbl 0338.62029 South Afr. statist. J. 10, 49-62 (1976). MSC: 62H10 62Q05 62E15 62H15 62P10 PDFBibTeX XMLCite \textit{J. C. Lee} et al., S. Afr. Stat. J. 10, 49--62 (1976; Zbl 0338.62029)
Krishnaiah, P. R. Tests for the equality of the covariance matrices of correlated multivariate normal populations. (English) Zbl 0321.62061 Surv. stat. Des. lin. Models, int. Symp. Fort Collins 1973, 355-366 (1975). MSC: 62H15 62J10 PDFBibTeX XML
Chang, T. C.; Krishnaiah, P. R.; Lee, J. C. Approximation to the distributions of the likelihood ratio statistics for testing the hypotheses on covariance matrices and mean vectors simultaneously. (English) Zbl 0315.62025 ARL TR 75-0176. Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio. III, 46 p. $ 3.00 (1975). MSC: 62H10 41A60 62H15 60E05 62Q05 PDFBibTeX XML
Lee, J. C.; Chang, T. C.; Krishnaiah, P. R. Approximations to the distributions of the likelihood ratio statistics for testing certain structures on the covariance matrices of real multivariate normal populations. (English) Zbl 0313.62036 ARL TR 75-0167. Aerospace Research Laboratories (AFSC), Wright-Patterson Air Force Base, Ohio. IV, 51 p. $ 3.00 (1975). MSC: 62H10 62Q05 62H15 41A45 PDFBibTeX XML
Krishnaiah, P. R.; Lee, J. C.; Chang, T. C. On the distributions of the likelihood ratio statistics for tests of certain covariance structures of complex multivariate normal populations. (English) Zbl 0313.62035 ARL TR 75-0169. Aerospace Research Laboratories (AFSC), Wright-Patterson AF Base, Ohio. IV, 38 p. $ 3.00 (1975). MSC: 62H10 62H15 PDFBibTeX XML
Chang, T. C.; Krishnaiah, P. R.; Lee, J. C. On the distribution of the likelihood ratio test statistic for compound symmetry. (English) Zbl 0313.62034 ARL TR 75-0166. Aerospace Research Laboratories (AFSC), Wright-Patterson AF Base, Ohio. IV, 16 p. $ 3.00 (1975). MSC: 62H10 62H15 PDFBibTeX XML
Krishnaiah, P. R.; Lee, Jack C. On covariance structures. (English) Zbl 0306.62017 ARL TR 75-0103. Applied Mathematics Research Laboratory/LB, Aerospace Research Laboratories (AFSC), Wright-Patterson AFB, Ohio 45433. III, 25 p. $ 3.00 (1975). MSC: 62H15 62H10 62J10 PDFBibTeX XML
Sen, P. K.; Krishnaiah, P. R. On a class of simultaneous rank order tests in MANOCOVA. (English) Zbl 0337.62051 Ann. Inst. Stat. Math. 26, 135-145 (1974). MSC: 62J10 62G30 62G10 62G20 PDFBibTeX XMLCite \textit{P. K. Sen} and \textit{P. R. Krishnaiah}, Ann. Inst. Stat. Math. 26, 135--145 (1974; Zbl 0337.62051) Full Text: DOI
Krishnaiah, P. R.; Schuurmann, F. J. On the evaluation of some distributions that arise in simultaneous tests for the equality of the latent roots of the covariance matrix. (English) Zbl 0309.62032 J. multivariate Analysis 4, 265-282 (1974). MSC: 62H10 62E15 62H15 PDFBibTeX XMLCite \textit{P. R. Krishnaiah} and \textit{F. J. Schuurmann}, J. Multivariate Anal. 4, 265--282 (1974; Zbl 0309.62032) Full Text: DOI
Krishnaiah, P. R.; Schuurmann, F. J. Approximations to the distributions of the traces of complex multivariate beta and F matrices. (English) Zbl 0297.62031 ARL TR 74-0123. Aerospace Research Laboratories/LB, Wright-Patterson Air Force Base, Ohio. III, 101 p. $ 3.00 (1974). MSC: 62H10 62H15 62E15 62Q05 PDFBibTeX XML
Krishnaiah, P. R.; Schuurmann, F. J. On the distributions of the ratios of the extreme roots of the real and complex multivariate beta matrices. (English) Zbl 0297.62030 ARL TR 74-0122. Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio. III, 89 p. $ 3.00 (1974). MSC: 62H10 62H15 62Q05 62E15 PDFBibTeX XML
Krishnaiah, P. R.; Schuurmann, F. J. On the exact joint distributions of the extreme roots of the complex Wishart and multivariate beta matrices. (English) Zbl 0291.62155 ARL 74-0111. Aerospace Research Laboratories, Building 450 - Area B, Wright-Patterson AFB, Ohio. III, 40 p. $ 3.00 (1974). MSC: 62Q05 62-02 62H15 62H10 PDFBibTeX XML
Krishnaiah, P. R.; Schuurmann, F. J. On the exact distributions of the individual roots of the complex Wishart and multivariate beta matrices. (English) Zbl 0291.62154 ARL TR 74-0063. Applied Mathematics Research Laboratory/LB, Aerospace Research Laboratories (AFSC), Wright-Patterson AF Base, Ohio. III, 119 p. $ 3.00 (1974). MSC: 62Q05 62H15 62-02 62H10 PDFBibTeX XML
Krishnaiah, P. R. On the exact distributions of the test statistics based on the eigenvalues of complex random matrices. (English) Zbl 0289.62034 ARL 73-0178. Aerospace Research Laboratories, Air Force Systems Command, United States Air Force, Wright-Patterson Air Force Base, Ohio. V, 21 p. $ 3.00 (1973). MSC: 62H10 62H15 62E15 60E05 PDFBibTeX XML
Krishnaiah, P. R. Tests for the equality of the covariance matrices of correlated multivariate normal populations. (English) Zbl 0264.62018 ARL 73-0109. Project 7071. Ohio: Aerospace Research Laboratories, Air Force Systems Command, United States Air Force, Wright-Patterson Air Force Base. V,22 p. $ 3.00 (1973). MSC: 62H15 62H20 62J10 PDFBibTeX XML
Schuurmann, F. J.; Krishnaiah, P. R.; Chattopadhyay, A. K. Tables for the distributions of the ratios of the extreme roots to the trace of Wishart matrix. (English) Zbl 0257.62061 ARL 73-0010. Aerospace Research Laboratories, Air Force Systems Command, United States Air Force, Wright-Patterson Air Force Base, Ohio. V,14 p. (1973). MSC: 62H15 62H10 62Q05 PDFBibTeX XML
Schuurmann, F. J.; Krishnaiah, P. R.; Chattopadhyay, A. K. Exact percentage points of the distribution of the trace of S\(_1\) (S\(_1\)+S\(_2\))-1. (English) Zbl 0257.62039 ARL 73-0008. Aerospace Research Laboratories, Air Force Systems Command, United States Air Force, Wright-Patterson Air Force Base, Ohio. V,23 p. (1973). MSC: 62H15 62H10 62Q05 PDFBibTeX XML
Krishnaiah, P. R.; Waikar, V. B. Simultaneous tests for equality of latent roots against certain alternatives. II. (English) Zbl 0327.62036 Ann. Inst. Stat. Math. 24, 81-85 (1972). MSC: 62H15 62H10 PDFBibTeX XMLCite \textit{P. R. Krishnaiah} and \textit{V. B. Waikar}, Ann. Inst. Stat. Math. 24, 81--85 (1972; Zbl 0327.62036) Full Text: DOI