Book Review
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Book Information:
Authors:
O. Calin and
C. Udriste
Title:
Geometric modeling in probability and statistics
Additional book information:
Springer,
Cham, Switzerland,
2014,
ISBN 978-3-319-07778-9 (print), 978-3-319-07779-6 (online),
$79.99
Shun-ichi Amari and Hiroshi Nagaoka, Methods of information geometry, Translations of Mathematical Monographs, vol. 191, American Mathematical Society, Providence, RI; Oxford University Press, Oxford, 2000. Translated from the 1993 Japanese original by Daishi Harada. MR 1800071, DOI 10.1090/mmono/191
D. G. Aronson, The fundamental solution of a linear parabolic equation containing a small parameter, Illinois J. Math. 3 (1959), 580–619. MR 107758
J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931–954. MR 100158, DOI 10.2307/2372841
A. Kolmogoroff, Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung, Math. Ann. 104 (1931), no. 1, 415–458 (German). MR 1512678, DOI 10.1007/BF01457949
A. Kolmogoroff, Zur Umkehrbarkeit der statistischen Naturgesetze, Math. Ann. 113 (1937), no. 1, 766–772 (German). MR 1513121, DOI 10.1007/BF01571664
Jürgen Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101–134. MR 159139, DOI 10.1002/cpa.3160170106
E. Schrödinger, Uber die Umkehrung der Naturgesetze. Sitzungsber Press, Acad. Wiss, Phys-math, K1, 12 märz 1931, 144–153 .
Robert E. Kass and Paul W. Vos, Geometrical foundations of asymptotic inference, Wiley Series in Probability and Statistics: Probability and Statistics, John Wiley & Sons, Inc., New York, 1997. A Wiley-Interscience Publication. MR 1461540, DOI 10.1002/9781118165980
References
- Shun-Ichi Amari and Hiroshi Nagaoka, Methods of information geometry, Translations of Mathematical Monographs, vol. 191, American Mathematical Society, Providence, RI; Oxford University Press, Oxford, 2000. Translated from the 1993 Japanese original by Daishi Harada. MR 1800071
- D. G. Aronson, The fundamental solution of a linear parabolic equation containing a small parameter, Illinois J. Math. 3 (1959), 580–619. MR 0107758
- J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931–954. MR 0100158, DOI 10.2307/2372841
- A. Kolmogoroff, Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung, Math. Ann. 104 (1931), no. 1, 415–458 (German). MR 1512678, DOI 10.1007/BF01457949
- A. Kolmogoroff, Zur Umkehrbarkeit der statistischen Naturgesetze, Math. Ann. 113 (1937), no. 1, 766–772 (German). MR 1513121, DOI 10.1007/BF01571664
- Jürgen Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101–134. MR 0159139, DOI 10.1002/cpa.3160170106
- E. Schrödinger, Uber die Umkehrung der Naturgesetze. Sitzungsber Press, Acad. Wiss, Phys-math, K1, 12 märz 1931, 144–153 .
- Robert E. Kass and Paul W. Vos, Geometrical foundations of asymptotic inference, Wiley Series in Probability and Statistics: Probability and Statistics, John Wiley & Sons, Inc., New York, 1997. A Wiley-Interscience Publication. MR 1461540, DOI 10.1002/9781118165980
Review Information:
Reviewer:
Stanislav A. Molchanov
Affiliation:
Department of Mathematics and Statistics, UNCC, Charlotte, North Carolina 28223; and National Research University “Higher School of Economics”, Russian Federation
Email:
smolchan@uncc.edu
Journal:
Bull. Amer. Math. Soc.
55 (2018), 109-111
DOI:
https://doi.org/10.1090/bull/1582
Published electronically:
May 26, 2017
Review copyright:
© Copyright 2017
American Mathematical Society
