-
1
-
-
34548412123
-
Geometric means in a novel vector space structure on symmetric positive-definite matrices
-
DOI 10.1137/050637996
-
ARSIGNY, V., FILLARD, P., PENNEC, X. and AYACHE, N. (2007). Geometric means in a novel vector space structure on symmetric positive-definite matrices. SIAM J. Matrix Anal. Appl. 29 328-347 (electronic). MR2288028. (Pubitemid 351269899)
-
(2006)
SIAM Journal on Matrix Analysis and Applications
, vol.29
, Issue.1
, pp. 328-347
-
-
Arsigny, V.1
Fillard, P.2
Pennec, X.3
Ayache, N.4
-
2
-
-
80054759859
-
Limit theorems for the inductive mean on metric trees
-
MR2752884
-
BASRAK, B. (2010). Limit theorems for the inductive mean on metric trees. J. Appl. Probab. 47 1136-1149. MR2752884.
-
(2010)
J. Appl. Probab.
, vol.47
, pp. 1136-1149
-
-
Basrak, B.1
-
3
-
-
0030162959
-
Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI
-
BASSER, P. J. and PIERPAOLI, C. (1996).Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. J. Magn. Reson. B 111 209-219. (Pubitemid 126758682)
-
(1996)
Journal of Magnetic Resonance - Series B
, vol.111
, Issue.3
, pp. 209-219
-
-
Basser, P.J.1
Pierpaoli, C.2
-
4
-
-
21144443869
-
Large sample theory of intrinsic and extrinsic sample means on manifolds
-
MR1962498
-
BHATTACHARYA, R. and PATRANGENARU, V. (2003). Large sample theory of intrinsic and extrinsic sample means on manifolds. I. Ann. Statist. 31 1-29. MR1962498.
-
(2003)
I. Ann. Statist
, vol.31
, pp. 1-29
-
-
Bhattacharya, R.1
Patrangenaru, V.2
-
5
-
-
23744472179
-
Large sample theory of intrinsic and extrinsic sample means on manifolds-ii
-
DOI 10.1214/009053605000000093
-
BHATTACHARYA, R. and PATRANGENARU, V. (2005). Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Ann. Statist. 33 1225-1259. MR2195634. (Pubitemid 41137881)
-
(2005)
Annals of Statistics
, vol.33
, Issue.3
, pp. 1225-1259
-
-
Bhattacharya, R.1
Patrangenaru, V.2
-
6
-
-
84888313771
-
Extrinsic data analysis on sample spaces with a manifold stratification
-
Brasov, 2011 (L. Beznea, V. BrÎzanescu, M. Iosifescu, G. Marinoschi, R. Purice and D. Timotin. eds.), Publishing House of the Romanian Academy
-
BHATTACHARYA, R. N., BUIBAS, M., DRYDEN, I. L., ELLINGSON, L. A., GROISSER, D., HENDRIKS, H., HUCKEMANN, S., LE, H., LIU, X., MARRON, J. S., OSBORNE, D. E., PATRÂNGENARU, V., SCHWARTZMAN, A., THOMPSON, H. W. and WOOD, A. T. A. (2011). Extrinsic data analysis on sample spaces with a manifold stratification. In Advances in Mathematics, Invited Contributions at the Seventh Congress of Romanian Mathematicians, Brasov, 2011 (L. Beznea, V. BrÎzanescu, M. Iosifescu, G. Marinoschi, R. Purice and D. Timotin. eds.) 148-156. Publishing House of the Romanian Academy.
-
(2011)
Advances in Mathematics, Invited Contributions at the Seventh Congress of Romanian Mathematicians
, pp. 148-156
-
-
Bhattacharya, R.N.1
Buibas, M.2
Dryden, I.L.3
Ellingson, L.A.4
Groisser, D.5
Hendriks, H.6
Huckemann, S.7
Le, H.8
Liu, X.9
Marron, J.S.10
Osborne, D.E.11
Patrângenaru, V.12
Schwartzman, A.13
Thompson, H.W.14
Wood, A.T.A.15
-
7
-
-
0035520029
-
Geometry of the space of phylogenetic trees
-
MR1867931
-
BILLERA, L. J., HOLMES, S. P. and VOGTMANN, K. (2001). Geometry of the space of phylogenetic trees. Adv. in Appl. Math. 27 733-767. MR1867931.
-
(2001)
Adv. in Appl. Math.
, vol.27
, pp. 733-767
-
-
Billera, L.J.1
Holmes, S.P.2
Vogtmann, K.3
-
8
-
-
0010804889
-
Probability
-
SIAM, Philadelphia, PA. MR1163370
-
BREIMAN, L. (1992). Probability. Classics in Applied Mathematics 7. SIAM, Philadelphia, PA. MR1163370.
-
(1992)
Classics in Applied Mathematics
, vol.7
-
-
Breiman, L.1
-
10
-
-
0000315591
-
Les éléments aléatoires de nature quelconque dans un espace distanci
-
MR0027464
-
FRÉCHET, M. (1948). Les éléments aléatoires de nature quelconque dans un espace distancié. Ann. Inst. H. Poincaré 10 215-310. MR0027464.
-
(1948)
Ann. Inst. H. Poincar
, vol.10
, pp. 215-310
-
-
Fréchet, M.1
-
12
-
-
0030080006
-
Asymptotic behavior of sample mean location for manifolds
-
DOI 10.1016/0167-7152(95)00007-0
-
HENDRIKS, H. and LANDSMAN, Z. (1996). Asymptotic behavior of sample mean location for manifolds. Statist. Probab. Lett. 26 169-178. MR1381468. (Pubitemid 126165066)
-
(1996)
Statistics and Probability Letters
, vol.26
, Issue.2
, pp. 169-178
-
-
Hendriks, H.1
Landsman, Z.2
-
13
-
-
84870253371
-
On the meaning of mean shape: Manifold stability, locus and the two sample test
-
HUCKEMANN, S. (2012). On the meaning of mean shape: Manifold stability, locus and the two sample test. Ann. Inst. Statist. Math. 64 1227-1259.
-
(2012)
Ann. Inst. Statist. Math.
, vol.64
, pp. 1227-1259
-
-
Huckemann, S.1
-
14
-
-
80051862101
-
Inference on 3d procrustes means: Tree bole growth, rank deficient diffusion tensors and perturbation models
-
MR2833839
-
HUCKEMANN, S. (2011). Inference on 3D Procrustes means: Tree bole growth, rank deficient diffusion tensors and perturbation models. Scand. J. Stat. 38 424-446. MR2833839.
-
(2011)
Scand. J. Stat.
, vol.38
, pp. 424-446
-
-
Huckemann, S.1
-
15
-
-
0000971145
-
Residuals for directional data
-
JUPP, P. (1988). Residuals for directional data. J. Appl. Stat. 15 137-147.
-
(1988)
J. Appl. Stat.
, vol.15
, pp. 137-147
-
-
Jupp, P.1
-
18
-
-
70350117082
-
A nonparametric approach to 3d shape analysis from digital camera images
-
MR2557615
-
PATRANGENARU, V., LIU, X. and SUGATHADASA, S. (2010). A nonparametric approach to 3D shape analysis from digital camera images. I. J. Multivariate Anal. 101 11-31. MR2557615.
-
(2010)
I. J. Multivariate Anal.
, vol.101
, pp. 11-31
-
-
Patrangenaru, V.1
Liu, X.2
Sugathadasa, S.3
-
20
-
-
55149111458
-
False discovery rate analysis of brain diffusion direction maps
-
MR2415598
-
SCHWARTZMAN, A., DOUGHERTY, R. F. and TAYLOR, J. E. (2008). False discovery rate analysis of brain diffusion direction maps. Ann. Appl. Stat. 2 153-175. MR2415598.
-
(2008)
Ann. Appl. Stat.
, vol.2
, pp. 153-175
-
-
Schwartzman, A.1
Dougherty, R.F.2
Taylor, J.E.3
-
21
-
-
62349089886
-
Inference for eigenvalues and eigenvectors of gaussian symmetric matrices
-
MR2485016
-
SCHWARTZMAN, A., MASCARENHAS, W. F. and TAYLOR, J. E. (2008). Inference for eigenvalues and eigenvectors of Gaussian symmetric matrices. Ann. Statist. 36 2886-2919. MR2485016.
-
(2008)
Ann. Statist.
, vol.36
, pp. 2886-2919
-
-
Schwartzman, A.1
Mascarenhas, W.F.2
Taylor, J.E.3
-
22
-
-
60849125769
-
Probability measures on metric spaces of nonpositive curvature
-
Paris, 2002, Contemp. Math., Amer. Math. Soc. Providence, RI. MR2039961
-
STURM, K.-T. (2003). Probability measures on metric spaces of nonpositive curvature. In Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces (Paris, 2002). Contemp. Math. 338 357-390. Amer. Math. Soc., Providence, RI. MR2039961.
-
(2003)
Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces
, vol.338
, pp. 357-390
-
-
Sturm, K.-T.1
-
23
-
-
0001913628
-
On expected figures and a strong law of large numbers for random elements in quasi-metric spaces
-
Tech. Univ. Prague, Prague, 1974, Reidel, Dordrecht. MR0501230
-
ZIEZOLD, H. (1977). On expected figures and a strong law of large numbers for random elements in quasi-metric spaces. In Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the Eighth European Meeting of Statisticians (Tech. Univ. Prague, Prague, 1974), Vol. A 591-602. Reidel, Dordrecht. MR0501230.
-
(1977)
Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the Eighth European Meeting of Statisticians
, vol.A
, pp. 591-602
-
-
Ziezold, H.1
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