-
1
-
-
0003462953
-
-
New York, NY, USA: Wiley
-
H. L. Van Trees, Detection, Estimation, and Modulation Theory. New York, NY, USA: Wiley, 1968.
-
(1968)
Detection, Estimation, and Modulation Theory
-
-
Van Trees, H.L.1
-
2
-
-
0011026447
-
Asymptotically subminimax solutions of compound statistical decision problems
-
Berkeley, CA, USA, Jul. /Aug.
-
H. Robbins, "Asymptotically subminimax solutions of compound statistical decision problems, " in Proc. 2nd Berkeley Symp. Math. Statist. Probab., Berkeley, CA, USA, Jul. /Aug. 1950, pp. 131-148.
-
(1950)
Proc. 2nd Berkeley Symp. Math. Statist. Probab.
, pp. 131-148
-
-
Robbins, H.1
-
3
-
-
0000558731
-
Rational decisions
-
I. J. Good, "Rational decisions, " J. Roy. Statist. Soc. B, vol. 14, no. 1, pp. 107-114, 1952.
-
(1952)
J. Roy. Statist. Soc. B
, vol.14
, Issue.1
, pp. 107-114
-
-
Good, I.J.1
-
4
-
-
0040975583
-
The use of previous experience in reaching statistical decisions
-
Sep.
-
J. L. Hodges, Jr. and E. L. Lehmann, "The use of previous experience in reaching statistical decisions, " Ann. Math. Statist., vol. 23, no. 3, pp. 396-407, Sep. 1952.
-
(1952)
Ann. Math. Statist.
, vol.23
, Issue.3
, pp. 396-407
-
-
Hodges, J.L.1
Lehmann, E.L.2
-
6
-
-
0002533801
-
The empirical Bayes approach to statistical decision problems
-
Mar.
-
H. Robbins, "The empirical Bayes approach to statistical decision problems, " Ann. Math. Statist., vol. 35, no. 1, pp. 1-20, Mar. 1964.
-
(1964)
Ann. Math. Statist.
, vol.35
, Issue.1
, pp. 1-20
-
-
Robbins, H.1
-
7
-
-
0011514397
-
On partial a priori information in statistical inference
-
Dec.
-
J. R. Blum and J. Rosenblatt, "On partial a priori information in statistical inference, " Ann. Math. Statist., vol. 38, no. 6, pp. 1671-1678, Dec. 1967.
-
(1967)
Ann. Math. Statist.
, vol.38
, Issue.6
, pp. 1671-1678
-
-
Blum, J.R.1
Rosenblatt, J.2
-
8
-
-
1842548328
-
λ-minimax A paradigm for conservative robust Bayesians
-
D. Ríos Insua and F. Ruggeri, Eds. New York, NY, USA: Springer-Verlag
-
B. Vidakovic, " λ-minimax: A paradigm for conservative robust Bayesians, " in Robust Bayesian Analysis, D. Ríos Insua and F. Ruggeri, Eds. New York, NY, USA: Springer-Verlag, 2000, pp. 241-259.
-
(2000)
Robust Bayesian Analysis
, pp. 241-259
-
-
Vidakovic, B.1
-
9
-
-
84907195825
-
Gamma-minimax inference
-
S. Kotz, C. B. Read, N. Balakrishnan, and B. Vidakovic, Eds. Hoboken, NJ, USA: Wiley
-
F. Ruggeri, "Gamma-minimax inference, " in Encyclopedia of Statistical Sciences, S. Kotz, C. B. Read, N. Balakrishnan, and B. Vidakovic, Eds. Hoboken, NJ, USA: Wiley, 2006.
-
(2006)
Encyclopedia of Statistical Sciences
-
-
Ruggeri, F.1
-
10
-
-
53149099348
-
Quantization of prior probabilities for hypothesis testing
-
Oct.
-
K. R. Varshney and L. R. Varshney, "Quantization of prior probabilities for hypothesis testing, " IEEE Trans. Signal Process., vol. 56, no. 10, pp. 4553-4562, Oct. 2008.
-
(2008)
IEEE Trans. Signal Process.
, vol.56
, Issue.10
, pp. 4553-4562
-
-
Varshney, K.R.1
Varshney, L.R.2
-
11
-
-
80051711965
-
Bayes risk error is a Bregman divergence
-
Sep.
-
K. R. Varshney, "Bayes risk error is a Bregman divergence, " IEEE Trans. Signal Process., vol. 59, no. 9, pp. 4470-4472, Sep. 2011.
-
(2011)
IEEE Trans. Signal Process.
, vol.59
, Issue.9
, pp. 4470-4472
-
-
Varshney, K.R.1
-
13
-
-
0032184399
-
Quantization
-
Oct.
-
R. M. Gray and D. L. Neuhoff, "Quantization, " IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2325-2383, Oct. 1998.
-
(1998)
IEEE Trans. Inf. Theory
, vol.44
, Issue.6
, pp. 2325-2383
-
-
Gray, R.M.1
Neuhoff, D.L.2
-
15
-
-
80051733583
-
Multilevel minimax hypothesis testing
-
Nice, France, Jun.
-
K. R. Varshney and L. R. Varshney, "Multilevel minimax hypothesis testing, " in Proc. IEEE Int. Workshop Statist. Signal Process., Nice, France, Jun. 2011, pp. 109-112.
-
(2011)
Proc. IEEE Int. Workshop Statist. Signal Process.
, pp. 109-112
-
-
Varshney, K.R.1
Varshney, L.R.2
-
16
-
-
1942434071
-
Bayes-like decision making with upper and lower probabilities
-
Mar.
-
M. Wolfenson and T. L. Fine, "Bayes-like decision making with upper and lower probabilities, " J. Amer. Statist. Assoc., vol. 77, no. 377, pp. 80-88, Mar. 1982.
-
(1982)
J. Am Er. Statist. Assoc.
, vol.77
, Issue.377
, pp. 80-88
-
-
Wolfenson, M.1
Fine, T.L.2
-
17
-
-
0040269170
-
Bayesian statisticians and remote clients
-
Jul.
-
C. Hildreth, "Bayesian statisticians and remote clients, " Econometrica, vol. 31, no. 3, pp. 422-438, Jul. 1963.
-
(1963)
Econometrica
, vol.31
, Issue.3
, pp. 422-438
-
-
Hildreth, C.1
-
18
-
-
0002917149
-
-
Dept. Statist., Purdue Univ., West Lafayette, IN, USA, Tech. Rep. 82-9, Apr.
-
J. O. Berger, "The robust Bayesian viewpoint, " Dept. Statist., Purdue Univ., West Lafayette, IN, USA, Tech. Rep. 82-9, Apr. 1982.
-
(1982)
The Robust Bayesian Viewpoint
-
-
Berger, J.O.1
-
19
-
-
0002372536
-
Robust Bayesian credible intervals and prior ignorance
-
Apr.
-
L. R. Pericchi and P. Walley, "Robust Bayesian credible intervals and prior ignorance, " Int. Statist. Rev., vol. 59, no. 1, pp. 1-23, Apr. 1991.
-
(1991)
Int. Statist. Rev.
, vol.59
, Issue.1
, pp. 1-23
-
-
Pericchi, L.R.1
Walley, P.2
-
20
-
-
84863393058
-
Theory and applications of robust optimization
-
Jul.
-
D. Bertsimas, D. B. Brown, and C. Caramanis, "Theory and applications of robust optimization, " SIAM Rev., vol. 53, no. 3, pp. 464-501, Jul. 2011.
-
(2011)
SIAM Rev.
, vol.53
, Issue.3
, pp. 464-501
-
-
Bertsimas, D.1
Brown, D.B.2
Caramanis, C.3
-
21
-
-
79955778702
-
Categorical decision making by people, committees, and crowds
-
La Jolla, CA, USA, Feb.
-
L. R. Varshney, J. B. Rhim, K. R. Varshney, and V. K. Goyal, "Categorical decision making by people, committees, and crowds, " in Proc. Inf. Theory Appl. Workshop, La Jolla, CA, USA, Feb. 2011.
-
(2011)
Proc. Inf. Theory Appl. Workshop
-
-
Varshney, L.R.1
Rhim, J.B.2
Varshney, K.R.3
Goyal, V.K.4
-
22
-
-
23744473964
-
On the optimality of conditional expectation as a Bregman predictor
-
Jul.
-
A. Banerjee, X. Guo, and H. Wang, "On the optimality of conditional expectation as a Bregman predictor, " IEEE Trans. Inf. Theory, vol. 51, no. 7, pp. 2664-2669, Jul. 2005.
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.7
, pp. 2664-2669
-
-
Banerjee, A.1
Guo, X.2
Wang, H.3
-
23
-
-
26244461684
-
Clustering with Bregman divergences
-
Oct.
-
A. Banerjee, S. Merugu, I. S. Dhillon, and J. Ghosh, "Clustering with Bregman divergences, " J. Mach. Learn. Res., vol. 6, pp. 1705-1749, Oct. 2005.
-
(2005)
J. Mach. Learn. Res.
, vol.6
, pp. 1705-1749
-
-
Banerjee, A.1
Merugu, S.2
Dhillon, I.S.3
Ghosh, J.4
-
24
-
-
84884919229
-
Hypothesis testing, information divergence and computational geometry
-
Paris, France, Aug.
-
F. Nielsen, "Hypothesis testing, information divergence and computational geometry, " in Proc. Geometric Sci. Inf., Paris, France, Aug. 2013, pp. 241-248.
-
(2013)
Proc. Geometric Sci. Inf.
, pp. 241-248
-
-
Nielsen, F.1
-
25
-
-
0033079397
-
∞distortion
-
Feb.
-
∞distortion, " IEEE Signal Process. Lett., vol. 6, no. 2, pp. 25-27, Feb. 1999.
-
(1999)
IEEE Signal Process. Lett.
, vol.6
, Issue.2
, pp. 25-27
-
-
Zhu, C.1
Hua, Y.2
-
26
-
-
2642522325
-
Minimax multiresolution scalar quantization
-
Snowbird, UT, USA, Mar.
-
N. Sarshar and X. Wu, "Minimax multiresolution scalar quantization, " in Proc. Data Compression Conf., Snowbird, UT, USA, Mar. 2004, pp. 52-61.
-
(2004)
Proc. Data Compression Conf.
, pp. 52-61
-
-
Sarshar, N.1
Wu, X.2
-
27
-
-
33947662435
-
Minimax quantization for distributed maximum likelihood estimation
-
Toulouse, France, May
-
P. Venkitasubramaniam, L. Tong, and A. Swami, "Minimax quantization for distributed maximum likelihood estimation, " in Proc. IEEE Int. Conf. Acoust. Speech Signal Process., Toulouse, France, May 2006, pp. III-652-III-655.
-
(2006)
Proc. IEEE Int. Conf. Acoust. Speech Signal Process.
, pp. III652-III655
-
-
Venkitasubramaniam, P.1
Tong, L.2
Swami, A.3
-
28
-
-
79955729241
-
An algorithm for quantization of discrete probability distributions
-
Snowbird, UT, USA, Mar.
-
Y. A. Reznik, "An algorithm for quantization of discrete probability distributions, " in Proc. Data Compression Conf., Snowbird, UT, USA, Mar. 2011, pp. 333-342.
-
(2011)
Proc. Data Compression Conf.
, pp. 333-342
-
-
Reznik, Y.A.1
-
29
-
-
0000624821
-
ε-entropy and ε-capacity of sets in functional spaces
-
A. N. Kolmogorov and V. M. Tihomirov, " ε-entropy and ε-capacity of sets in functional spaces, " Amer. Math. Soc. Translations, vol. 17, pp. 277-364, 1961.
-
(1961)
Amer. Math. Soc. Translations
, vol.17
, pp. 277-364
-
-
Kolmogorov, A.N.1
Tihomirov, V.M.2
-
30
-
-
33646435539
-
Fitting the smallest enclosing Bregman balls
-
Porto, Portugal, Oct.
-
R. Nock and F. Nielsen, "Fitting the smallest enclosing Bregman balls, " in Proc. Eur. Conf. Mach. Learn., Porto, Portugal, Oct. 2005, pp. 649-656.
-
(2005)
Proc. Eur. Conf. Mach. Learn.
, pp. 649-656
-
-
Nock, R.1
Nielsen, F.2
-
31
-
-
80052242601
-
-
INRIA Sophia Antipolis Méditerranée, Valbonne, France, Tech. Rep., Mar.
-
F. Nielsen, J. -D. Boissonnat, and R. Nock, "Bregman Voronoi diagrams: Properties, algorithms and applications, " INRIA Sophia Antipolis Méditerranée, Valbonne, France, Tech. Rep. 6154, Mar. 2007.
-
(2007)
Bregman Voronoi Diagrams Properties, Algorithms and Applications
, pp. 6154
-
-
Nielsen, F.1
Boissonnat, J.-D.2
Nock, R.3
-
32
-
-
77954863118
-
Bregman Voronoi diagrams
-
Sep.
-
J. -D. Boissonnat, F. Nielsen, and R. Nock, "Bregman Voronoi diagrams, " Discrete Comput. Geometry, vol. 44, no. 2, pp. 281-307, Sep. 2010.
-
(2010)
Discrete Comput. Geometry
, vol.44
, Issue.2
, pp. 281-307
-
-
Boissonnat, J.-D.1
Nielsen, F.2
Nock, R.3
-
33
-
-
53149132128
-
Continuity of the Bayes risk
-
Jun.
-
R. A. Wijsman, "Continuity of the Bayes risk, " Ann. Math. Statist., vol. 41, no. 3, pp. 1083-1085, Jun. 1970.
-
(1970)
Ann. Math. Statist.
, vol.41
, Issue.3
, pp. 1083-1085
-
-
Wijsman, R.A.1
-
34
-
-
0020101637
-
Sufficient conditions for uniqueness of a locally optimal quantizer for a class of convex error weighting functions
-
Mar.
-
A. V. Trushkin, "Sufficient conditions for uniqueness of a locally optimal quantizer for a class of convex error weighting functions, " IEEE Trans. Inf. Theory, vol. IT-28, no. 2, pp. 187-198, Mar. 1982.
-
(1982)
IEEE Trans. Inf. Theory
, vol.IT-28
, pp. 187-198
-
-
Trushkin, A.V.1
-
35
-
-
0002603040
-
Generalizations of the logarithmic mean
-
Mar.
-
K. B. Stolarsky, "Generalizations of the logarithmic mean, " Math. Mag., vol. 48, no. 2, pp. 87-92, Mar. 1975.
-
(1975)
Math. Mag.
, vol.48
, Issue.2
, pp. 87-92
-
-
Stolarsky, K.B.1
-
36
-
-
32544449469
-
Using tangent lines to define means
-
Feb.
-
B. C. Dietel and R. A. Gordon, "Using tangent lines to define means, " Math. Mag., vol. 76, no. 1, pp. 52-61, Feb. 2003.
-
(2003)
Math. Mag.
, vol.76
, Issue.1
, pp. 52-61
-
-
Dietel, B.C.1
Gordon, R.A.2
-
37
-
-
84865358407
-
Minimax-optimal bounds for detectors based on estimated prior probabilities
-
Sep.
-
J. Jiao, L. Zhang, and R. D. Nowak, "Minimax-optimal bounds for detectors based on estimated prior probabilities, " IEEE Trans. Inf. Theory, vol. 58, no. 9, pp. 6101-6109, Sep. 2012.
-
(2012)
IEEE Trans. Inf. Theory
, vol.58
, Issue.9
, pp. 6101-6109
-
-
Jiao, J.1
Zhang, L.2
Nowak, R.D.3
-
38
-
-
84865232877
-
Quantization of prior probabilities for collaborative distributed hypothesis testing
-
Sep.
-
J. B. Rhim, L. R. Varshney, and V. K. Goyal, "Quantization of prior probabilities for collaborative distributed hypothesis testing, " IEEE Trans. Signal Process., vol. 60, no. 9, pp. 4537-4550, Sep. 2012.
-
(2012)
IEEE Trans. Signal Process.
, vol.60
, Issue.9
, pp. 4537-4550
-
-
Rhim, J.B.1
Varshney, L.R.2
Goyal, V.K.3
-
39
-
-
84904703614
-
Distributed decision making by categorically-thinking agents
-
T. V. Guy, M. Kárný, and D. H. Wolpert, Eds. Berlin, Germany: Springer-Verlag
-
J. B. Rhim, L. R. Varshney, and V. K. Goyal, "Distributed decision making by categorically-thinking agents, " in Decision Making and Imperfection, T. V. Guy, M. Kárný, and D. H. Wolpert, Eds. Berlin, Germany: Springer-Verlag, 2013.
-
(2013)
Decision Making and Imperfection
-
-
Rhim, J.B.1
Varshney, L.R.2
Goyal, V.K.3
-
41
-
-
6344274901
-
Game theory, maximum entropy, minimum discrepancy and robust Bayesian decision theory
-
Aug.
-
P. D. Grünwald and A. P. Dawid, "Game theory, maximum entropy, minimum discrepancy and robust Bayesian decision theory, " Ann. Statist., vol. 32, no. 4, pp. 1367-1433, Aug. 2004.
-
(2004)
Ann. Statist.
, vol.32
, Issue.4
, pp. 1367-1433
-
-
Grünwald, P.D.1
Dawid, A.P.2
-
42
-
-
79955718720
-
Conflict in distributed hypothesis testing with quantized prior probabilities
-
Snowbird, UT, USA, Mar.
-
J. B. Rhim, L. R. Varshney, and V. K. Goyal, "Conflict in distributed hypothesis testing with quantized prior probabilities, " in Proc. Data Compression Conf., Snowbird, UT, USA, Mar. 2011, pp. 313-322.
-
(2011)
Proc. Data Compression Conf.
, pp. 313-322
-
-
Rhim, J.B.1
Varshney, L.R.2
Goyal, V.K.3
-
43
-
-
0000923828
-
Regret theory An alternative theory of rational choice under uncertainty
-
Dec.
-
G. Loomes and R. Sugden, "Regret theory: An alternative theory of rational choice under uncertainty, " Econ. J., vol. 92, no. 368, pp. 805-824, Dec. 1982.
-
(1982)
Econ. J.
, vol.92
, Issue.368
, pp. 805-824
-
-
Loomes, G.1
Sugden, R.2
-
44
-
-
3543077522
-
Linear minimax regret estimation of deterministic parameters with bounded data uncertainties
-
Aug.
-
Y. C. Eldar, A. Ben-Tal, and A. Nemirovski, "Linear minimax regret estimation of deterministic parameters with bounded data uncertainties, " IEEE Trans. Signal Process., vol. 52, no. 8, pp. 2177-2188, Aug. 2004.
-
(2004)
IEEE Trans. Signal Process.
, vol.52
, Issue.8
, pp. 2177-2188
-
-
Eldar, Y.C.1
Ben-Tal, A.2
Nemirovski, A.3
-
45
-
-
77954575638
-
Noise enhanced hypothesistesting in the restricted Bayesian framework
-
Aug.
-
S. Bayram, S. Gezici, and H. V. Poor, "Noise enhanced hypothesistesting in the restricted Bayesian framework, " IEEE Trans. Signal Process., vol. 58, no. 8, pp. 3972-3989, Aug. 2010.
-
(2010)
IEEE Trans. Signal Process.
, vol.58
, Issue.8
, pp. 3972-3989
-
-
Bayram, S.1
Gezici, S.2
Poor, H.V.3
|