-
1
-
-
0016355478
-
A new look at the statistical model identification
-
MR0423716
-
AKAIKE, H. (1974). A new look at the statistical model identification. IEEE Trans. Automatic Control 19 716-723. MR0423716
-
(1974)
IEEE Trans. Automatic Control
, vol.19
, pp. 716-723
-
-
Akaike, H.1
-
3
-
-
0010897059
-
An optimal property of the likelihood ratio statistic
-
Univ. California Press, Berkeley. MR0216637
-
BAHADUR, R. R. (1967). An optimal property of the likelihood ratio statistic. Proc. Fifth Berkeley Symp. Math. Statist. Probab. 1 13-26. Univ. California Press, Berkeley. MR0216637
-
(1967)
Proc. Fifth Berkeley Symp. Math. Statist. Probab.
, vol.1
, pp. 13-26
-
-
Bahadur, R.R.1
-
5
-
-
0001799412
-
Large deviations, tests, and estimates
-
(I. M. Chakravarti, ed.). Academic Press, New York. MR0571334
-
BAHADUR, R. R., ZABELL, S. L. and GUPTA, J. C. (1980). Large deviations, tests, and estimates. In Asymptotic Theory of Statistical Tests and Estifnation (I. M. Chakravarti, ed.) 33-64. Academic Press, New York. MR0571334
-
(1980)
Asymptotic Theory of Statistical Tests and Estifnation
, pp. 33-64
-
-
Bahadur, R.R.1
Zabell, S.L.2
Gupta, J.C.3
-
6
-
-
0033459856
-
Risk bounds for model selection via penalization
-
MR1679028
-
BARRON, A., BIRGÉ, L. and MASSART, P. (1999). Risk bounds for model selection via penalization. Probab. Theory Related Fields 113 301-413. MR1679028
-
(1999)
Probab. Theory Related Fields
, vol.113
, pp. 301-413
-
-
Barron, A.1
Birgé, L.2
Massart, P.3
-
7
-
-
13844251687
-
An information-theoretic perspective on order estimation
-
(O. Cappé, E. Moulines and T. Rydén, eds.). Springer, New York. MR2159833
-
BOUCHERON, S. and GASSIAT, E. (2005). An information-theoretic perspective on order estimation. In Inference in Hidden Markov Models (O. Cappé, E. Moulines and T. Rydén, eds.) 565-601. Springer, New York. MR2159833
-
(2005)
Inference in Hidden Markov Models
, pp. 565-601
-
-
Boucheron, S.1
Gassiat, E.2
-
10
-
-
0009086437
-
Large sample theory: Parametric case
-
MR0076245
-
CHERNOFF, H. (1956). Large sample theory: Parametric case. Ann. Math. Statist. 27 1-22. MR0076245
-
(1956)
Ann. Math. Statist.
, vol.27
, pp. 1-22
-
-
Chernoff, H.1
-
11
-
-
0000546609
-
I-divergence geometry of probability distributions and minimization problems
-
MR0365798
-
CSISZÁR, I. (1975). I-divergence geometry of probability distributions and minimization problems. Ann. Probab. 3 146-158. MR0365798
-
(1975)
Ann. Probab.
, vol.3
, pp. 146-158
-
-
Csiszár, I.1
-
12
-
-
0036611605
-
Large-scale typicality of Markov sample paths and consistency of MDL order estimators
-
MR1909476
-
CSISZÁR, I. (2002). Large-scale typicality of Markov sample paths and consistency of MDL order estimators. IEEE Trans. Inform. Theory 48 1616-1628. MR1909476
-
(2002)
IEEE Trans. Inform. Theory
, vol.48
, pp. 1616-1628
-
-
Csiszár, I.1
-
14
-
-
0034343421
-
The consistency of the BIC Markov order estimator
-
MR1835033
-
CSISZÁR, I. and SHIELDS, P. C. (2000). The consistency of the BIC Markov order estimator. Ann. Statist. 28 1601-1619. MR1835033
-
(2000)
Ann. Statist.
, vol.28
, pp. 1601-1619
-
-
Csiszár, I.1
Shields, P.C.2
-
15
-
-
85132185883
-
The estimation of the order of a mixture model
-
MR 1468306
-
DACUNHA-CASTELLE, D. and GASSIAT, E. (1997). The estimation of the order of a mixture model. Bernoulli 3 279-299. MR 1468306
-
(1997)
Bernoulli
, vol.3
, pp. 279-299
-
-
Dacunha-Castelle, D.1
Gassiat, E.2
-
16
-
-
0033236920
-
Testing the order of a model using locally conic parametrization: Population mixtures and stationary ARMA processes
-
MR1740115
-
DACUNHA-CASTELLE, D. and GASSIAT, E. (1999). Testing the order of a model using locally conic parametrization: Population mixtures and stationary ARMA processes. Ann. Statist. 271178-1209. MR1740115
-
(1999)
Ann. Statist.
, vol.27
, pp. 1178-1209
-
-
Dacunha-Castelle, D.1
Gassiat, E.2
-
18
-
-
0038968242
-
Invariance principles for sums of Banach space valued random elements and empirical processes
-
MR0690575
-
DUDLEY, R. M. and PHILIPP, W. (1983). Invariance principles for sums of Banach space valued random elements and empirical processes. Z. Wahrsch. Verw. Gebiete 62 509-552. MR0690575
-
(1983)
Z. Wahrsch. Verw. Gebiete
, vol.62
, pp. 509-552
-
-
Dudley, R.M.1
Philipp, W.2
-
20
-
-
0030243475
-
The optimal error exponent for Markov order estimation
-
MR1426225
-
FINESSO, L., LIU, C.-C. and NARAYAN, P. (1996). The optimal error exponent for Markov order estimation. IEEE Trans. Inform. Theory 42 1488-1497. MR1426225
-
(1996)
IEEE Trans. Inform. Theory
, vol.42
, pp. 1488-1497
-
-
Finesso, L.1
Liu, C.-C.2
Narayan, P.3
-
21
-
-
0036845464
-
Likelihood ratio inequalities with applications to various mixtures
-
MR 1955343
-
GASSIAT, E. (2002). Likelihood ratio inequalities with applications to various mixtures. Ann. Inst. H. Poincaré Probab. Statist. 38 897-906. MR 1955343
-
(2002)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.38
, pp. 897-906
-
-
Gassiat, E.1
-
22
-
-
0037399347
-
Optimal error exponents in hidden Markov models order estimation
-
MR 1984482
-
GASSIAT, E. and BOUCHERON, S. (2003). Optimal error exponents in hidden Markov models order estimation. IEEE Trans. Inform. Theory 49 964-980. MR 1984482
-
(2003)
IEEE Trans. Inform. Theory
, vol.49
, pp. 964-980
-
-
Gassiat, E.1
Boucheron, S.2
-
23
-
-
0033174020
-
On the underfitting and overfitting sets of models chosen by order selection criteria
-
MR1711522
-
GUYON, X. and YAO, J. (1999). On the underfitting and overfitting sets of models chosen by order selection criteria. J. Multivariate Anal. 70 221-249. MR1711522
-
(1999)
J. Multivariate Anal.
, vol.70
, pp. 221-249
-
-
Guyon, X.1
Yao, J.2
-
25
-
-
0038304446
-
Size of the error in the choice of a model to fit data from an exponential family
-
MR 1065558
-
HAUGHTON, D. (1989). Size of the error in the choice of a model to fit data from an exponential family. Sankhyā Ser. A 51 45-58. MR 1065558
-
(1989)
Sankhyā Ser. A
, vol.51
, pp. 45-58
-
-
Haughton, D.1
-
26
-
-
31744444344
-
Recursive order estimation of autoregressions without bounding the model set
-
MR1094280
-
HEMERLY, E. M. and DAVIS, M. H. A. (1991). Recursive order estimation of autoregressions without bounding the model set. J. Roy. Statist. Soc. Ser. B 53 201-210. MR1094280
-
(1991)
J. Roy. Statist. Soc. Ser. B
, vol.53
, pp. 201-210
-
-
Hemerly, E.M.1
Davis, M.H.A.2
-
27
-
-
51249174278
-
On estimating of the number of constituents of a finite mixture of continuous distributions
-
MR0799237
-
HENNA, J. (1985). On estimating of the number of constituents of a finite mixture of continuous distributions. Ann. Inst. Statist. Math. 37 235-240. MR0799237
-
(1985)
Ann. Inst. Statist. Math.
, vol.37
, pp. 235-240
-
-
Henna, J.1
-
28
-
-
0000250624
-
The behavior of maximum likelihood estimates under nonstandard conditions
-
Univ. California Press, Berkeley. MR0216620
-
HUBER, P. J. (1967). The behavior of maximum likelihood estimates under nonstandard conditions. Proc. Fifth Berkeley Symp. Math. Statist. Probab. 1 221-233. Univ. California Press, Berkeley. MR0216620
-
(1967)
Proc. Fifth Berkeley Symp. Math. Statist. Probab.
, vol.1
, pp. 221-233
-
-
Huber, P.J.1
-
29
-
-
0035470890
-
Consistent estimation of mixture complexity
-
MR1873331
-
JAMES, L. F., PRIEBE, C. E. and MARCHETTE, D. J. (2001). Consistent estimation of mixture complexity. Ann. Statist. 29 1281-1296. MR1873331
-
(2001)
Ann. Statist.
, vol.29
, pp. 1281-1296
-
-
James, L.F.1
Priebe, C.E.2
Marchette, D.J.3
-
30
-
-
0002954754
-
Consistent estimation of the order of mixture models
-
MR 1769735
-
KERIBIN, C. (2000). Consistent estimation of the order of mixture models. Sankhyā Ser. A 62 49-66. MR 1769735
-
(2000)
Sankhyā Ser. A
, vol.62
, pp. 49-66
-
-
Keribin, C.1
-
31
-
-
0037766362
-
Asymptotic probabilities of overestimating and underestimating the order of a model in general regular families
-
MR1985856
-
KERIBIN, C. and HAUGHTON, D. (2003). Asymptotic probabilities of overestimating and underestimating the order of a model in general regular families. Comm. Statist. Theory Methods 32 1373-1404. MR1985856
-
(2003)
Comm. Statist. Theory Methods
, vol.32
, pp. 1373-1404
-
-
Keribin, C.1
Haughton, D.2
-
32
-
-
23544439154
-
An extension of Sanov's theorem. Application to the Gibbs conditioning principle
-
MR1963659
-
LÉONARD, C. and NAJIM, J. (2002). An extension of Sanov's theorem. Application to the Gibbs conditioning principle. Bernoulli 8 721-743. MR1963659
-
(2002)
Bernoulli
, vol.8
, pp. 721-743
-
-
Léonard, C.1
Najim, J.2
-
33
-
-
33747202723
-
Metric spaces of partitions, and Caccioppoli partitions
-
MR1943988
-
LEONARDI, G. P. and TAMANINI, I. (2002). Metric spaces of partitions, and Caccioppoli partitions. Adv. Math. Sci. Appl. 12 725-753. MR1943988
-
(2002)
Adv. Math. Sci. Appl.
, vol.12
, pp. 725-753
-
-
Leonardi, G.P.1
Tamanini, I.2
-
34
-
-
21144475085
-
Consistent estimation of a mixing distribution
-
MR1186253
-
LEROUX, B. G. (1992). Consistent estimation of a mixing distribution. Ann. Statist. 20 1350-1360. MR1186253
-
(1992)
Ann. Statist.
, vol.20
, pp. 1350-1360
-
-
Leroux, B.G.1
-
36
-
-
0000595627
-
Some applications of concentration inequalities to statistics. Probability theory
-
MR1813803
-
MASSART, P. (2000). Some applications of concentration inequalities to statistics. Probability theory. Ann. Fac. Sci. Toulouse Math. (6) 9 245-303. MR1813803
-
(2000)
Ann. Fac. Sci. Toulouse Math. (6)
, vol.9
, pp. 245-303
-
-
Massart, P.1
-
37
-
-
0001318701
-
New ways to prove central limit theorems
-
POLLARD, D. (1985). New ways to prove central limit theorems. Econometric Theory 1 295-314.
-
(1985)
Econometric Theory
, vol.1
, pp. 295-314
-
-
Pollard, D.1
-
38
-
-
0018015137
-
Modelling by shortest data description
-
RISSANEN, J. (1978). Modelling by shortest data description. Automatica 14 465-471.
-
(1978)
Automatica
, vol.14
, pp. 465-471
-
-
Rissanen, J.1
-
40
-
-
0009909170
-
Cramer's condition and Sanov's theorem
-
MR1649347
-
SCHIED, A. (1998). Cramer's condition and Sanov's theorem. Statist. Probab. Lett. 39 55-60. MR1649347
-
(1998)
Statist. Probab. Lett.
, vol.39
, pp. 55-60
-
-
Schied, A.1
-
41
-
-
0000120766
-
Estimating the dimension of a model
-
MR0468014
-
SCHWARZ, G. (1978). Estimating the dimension of a model. Ann. Statist. 6 461-464. MR0468014
-
(1978)
Ann. Statist.
, vol.6
, pp. 461-464
-
-
Schwarz, G.1
-
44
-
-
0002338279
-
Large deviations, moderate deviations and LIL for empirical processes
-
MR1258864
-
WU, L. (1994). Large deviations, moderate deviations and LIL for empirical processes. Ann. Probab. 22 17-27. MR1258864
-
(1994)
Ann. Probab.
, vol.22
, pp. 17-27
-
-
Wu, L.1
|