Guo, Ruite; Lee, Hwiyoung; Patrangenaru, Vic Test for homogeneity of random objects on manifolds with applications to biological shape analysis. (English) Zbl 07723366 Sankhyā, Ser. A 85, No. 2, 1178-1204 (2023). MSC: 62R30 62H35 62G05 62F12 62P10 62R99 PDFBibTeX XMLCite \textit{R. Guo} et al., Sankhyā, Ser. A 85, No. 2, 1178--1204 (2023; Zbl 07723366) Full Text: DOI
Qiu, Mingfei; Paige, Robert; Patrangenaru, Vic A nonparametric approach to 3D shape analysis from digital camera images. II. (English) Zbl 1516.62556 J. Appl. Stat. 46, No. 15, 2677-2699 (2019). MSC: 62-XX PDFBibTeX XMLCite \textit{M. Qiu} et al., J. Appl. Stat. 46, No. 15, 2677--2699 (2019; Zbl 1516.62556) Full Text: DOI
Patrangenaru, Vic; Yao, K. David; Guo, Ruite Extrinsic means and antimeans. (English) Zbl 1366.62072 Cao, Ricardo (ed.) et al., Nonparametric statistics. 2nd ISNPS, Cádiz, June 2014. Selected papers based on the presentations at the second conference of the International Society for Nonparametric Statistic, ISNPS, Cádiz, Spain, June 12–16, 2014. Cham: Springer (ISBN 978-3-319-41581-9/hbk; 978-3-319-41582-6/ebook). Springer Proceedings in Mathematics & Statistics 175, 161-178 (2016). MSC: 62H11 62H10 62H35 62G10 62G09 PDFBibTeX XMLCite \textit{V. Patrangenaru} et al., Springer Proc. Math. Stat. 175, 161--178 (2016; Zbl 1366.62072) Full Text: DOI
Patrangenaru, Victor; Paige, Robert; Yao, K. David; Qiu, Mingfei; Lester, David Projective shape analysis of contours and finite 3D configurations from digital camera images. (English) Zbl 1416.62372 Stat. Pap. 57, No. 4, 1017-1040 (2016). MSC: 62H35 62H15 62H11 PDFBibTeX XMLCite \textit{V. Patrangenaru} et al., Stat. Pap. 57, No. 4, 1017--1040 (2016; Zbl 1416.62372) Full Text: DOI
Patrangenaru, Vic; Qiu, Mingfei; Buibas, Marius Two sample tests for mean 3D projective shapes from digital camera images. (English) Zbl 1307.62144 Methodol. Comput. Appl. Probab. 16, No. 2, 485-506 (2014). MSC: 62H11 62H10 62H35 PDFBibTeX XMLCite \textit{V. Patrangenaru} et al., Methodol. Comput. Appl. Probab. 16, No. 2, 485--506 (2014; Zbl 1307.62144) Full Text: DOI
Bhattacharya, Rabi; Patrangenaru, Vic Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. (English) Zbl 1278.62068 J. Stat. Plann. Inference 145, 1-22 (2014). MSC: 62G99 62R30 62P99 PDFBibTeX XMLCite \textit{R. Bhattacharya} and \textit{V. Patrangenaru}, J. Stat. Plann. Inference 145, 1--22 (2014; Zbl 1278.62068) Full Text: DOI
Ellingson, Leif; Patrangenaru, Vic; Ruymgaart, Frits Nonparametric estimation of means on Hilbert manifolds and extrinsic analysis of mean shapes of contours. (English) Zbl 1280.62083 J. Multivariate Anal. 122, 317-333 (2013). MSC: 62H35 46N30 62G09 62G10 65C60 PDFBibTeX XMLCite \textit{L. Ellingson} et al., J. Multivariate Anal. 122, 317--333 (2013; Zbl 1280.62083) Full Text: DOI arXiv
Osborne, Daniel; Patrangenaru, Vic; Ellingson, Leif; Groisser, David; Schwartzman, Armin Nonparametric two-sample tests on homogeneous Riemannian manifolds, Cholesky decompositions and diffusion tensor image analysis. (English) Zbl 1277.62127 J. Multivariate Anal. 119, 163-175 (2013). MSC: 62G10 62G09 53C99 62P10 65C60 PDFBibTeX XMLCite \textit{D. Osborne} et al., J. Multivariate Anal. 119, 163--175 (2013; Zbl 1277.62127) Full Text: DOI
Crane, M.; Patrangenaru, V. Random change on a Lie group and mean glaucomatous projective shape change detection from stereo pair images. (English) Zbl 1328.62321 J. Multivariate Anal. 102, No. 2, 225-237 (2011). MSC: 62H11 62H10 62H35 PDFBibTeX XMLCite \textit{M. Crane} and \textit{V. Patrangenaru}, J. Multivariate Anal. 102, No. 2, 225--237 (2011; Zbl 1328.62321) Full Text: DOI
Patrangenaru, V.; Liu, Xiuwen; Sugathadasa, S. A nonparametric approach to 3D shape analysis from digital camera images. I. (English) Zbl 1177.62059 J. Multivariate Anal. 101, No. 1, 11-31 (2010). MSC: 62G09 62H35 62H11 68U10 62H10 PDFBibTeX XMLCite \textit{V. Patrangenaru} et al., J. Multivariate Anal. 101, No. 1, 11--31 (2010; Zbl 1177.62059) Full Text: DOI
Munk, A.; Paige, R.; Pang, J.; Patrangenaru, V.; Ruymgaart, F. The one- and multi-sample problem for functional data with application to projective shape analysis. (English) Zbl 1286.62050 J. Multivariate Anal. 99, No. 5, 815-833 (2008). MSC: 62G35 62H35 62G10 PDFBibTeX XMLCite \textit{A. Munk} et al., J. Multivariate Anal. 99, No. 5, 815--833 (2008; Zbl 1286.62050) Full Text: DOI
Bhattacharya, Rabi; Patrangenaru, Vic Large sample theory of intrinsic and extrinsic sample means on manifolds. II. (English) Zbl 1072.62033 Ann. Stat. 33, No. 3, 1225-1259 (2005). MSC: 62G09 60F05 62E20 62G15 62H11 62H10 PDFBibTeX XMLCite \textit{R. Bhattacharya} and \textit{V. Patrangenaru}, Ann. Stat. 33, No. 3, 1225--1259 (2005; Zbl 1072.62033) Full Text: DOI arXiv
Bhattacharya, Rabi; Patrangenaru, Vic Large sample theory of intrinsic and extrinsic sample means on manifolds. I. (English) Zbl 1020.62026 Ann. Stat. 31, No. 1, 1-29 (2003). MSC: 62G05 62H10 62H11 53B99 PDFBibTeX XMLCite \textit{R. Bhattacharya} and \textit{V. Patrangenaru}, Ann. Stat. 31, No. 1, 1--29 (2003; Zbl 1020.62026) Full Text: DOI
Patrangenaru, Vic; Mardia, Kanti V. A bootstrap approach to Pluto’s origin. (English) Zbl 1121.62465 J. Appl. Stat. 29, No. 6, 935-943 (2002). MSC: 62-XX PDFBibTeX XMLCite \textit{V. Patrangenaru} and \textit{K. V. Mardia}, J. Appl. Stat. 29, No. 6, 935--943 (2002; Zbl 1121.62465) Full Text: DOI
Bhattacharya, Rabi; Patrangenaru, Vic Nonparametic estimation of location and dispersion on Riemannian manifolds. (English) Zbl 1031.62024 J. Stat. Plann. Inference 108, No. 1-2, 23-35 (2002). MSC: 62G05 60F05 60B05 60B99 PDFBibTeX XMLCite \textit{R. Bhattacharya} and \textit{V. Patrangenaru}, J. Stat. Plann. Inference 108, No. 1--2, 23--35 (2002; Zbl 1031.62024) Full Text: DOI
Patrangenaru, Vic New large sample and bootstrap methods on shape spaces in high level analysis of natural images. (English) Zbl 1008.62616 Commun. Stat., Theory Methods 30, No. 8-9, 1675-1693 (2001). MSC: 62H35 60D05 PDFBibTeX XMLCite \textit{V. Patrangenaru}, Commun. Stat., Theory Methods 30, No. 8--9, 1675--1693 (2001; Zbl 1008.62616) Full Text: DOI