-
1
-
-
0042236601
-
Entropy jumps in the presence of a spectral gap
-
Ball, K., Barthe, F., Naor, A.: Entropy jumps in the presence of a spectral gap. Duke Math. J. 119, 41-63 (2002)
-
(2002)
Duke Math. J.
, vol.119
, pp. 41-63
-
-
Ball, K.1
Barthe, F.2
Naor, A.3
-
2
-
-
0000061719
-
Entropy and the central limit theorem
-
Barron, A.R.: Entropy and the central limit theorem. Ann. Probab. 14, 336-342 (1986)
-
(1986)
Ann. Probab.
, vol.14
, pp. 336-342
-
-
Barron, A.R.1
-
3
-
-
84938171492
-
The convolution inequality for entropy powers
-
Blachman, N.M.: The convolution inequality for entropy powers. IEEE Trans. Inform. Theory 11, 267-271 (1965)
-
(1965)
IEEE Trans. Inform. Theory
, vol.11
, pp. 267-271
-
-
Blachman, N.M.1
-
4
-
-
0000588175
-
On an inequality and a related characterisation of the normal distribution
-
Borovkov, A.A., Utev, S.A.: On an inequality and a related characterisation of the normal distribution. Theory Probab. Appl. 28, 219-228 (1984)
-
(1984)
Theory Probab. Appl.
, vol.28
, pp. 219-228
-
-
Borovkov, A.A.1
Utev, S.A.2
-
5
-
-
0007040038
-
A proof of the central limit theorem motivated by the Cramer-Rao inequality
-
G. Kallianpur, P.R. Krishnaiah, J.K. Ghosh, (eds), North-Holland, New York
-
Brown, L.D.: A proof of the Central Limit Theorem motivated by the Cramer-Rao inequality. In: G. Kallianpur, P.R. Krishnaiah, J.K. Ghosh, (eds), Statistics and Probability: Essays in Honour of C.R. Rao, North-Holland, New York, 1982, pp. 141-148
-
(1982)
Statistics and Probability: Essays in Honour of C.R. Rao
, pp. 141-148
-
-
Brown, L.D.1
-
6
-
-
0000600512
-
Information inequalities for the Bayes risk
-
Brown, L.D., Gajek, L.: Information inequalities for the Bayes risk. Ann. Statist. 18, 1578-1594 (1990)
-
(1990)
Ann. Statist.
, vol.18
, pp. 1578-1594
-
-
Brown, L.D.1
Gajek, L.2
-
7
-
-
0000563405
-
On upper and lower bounds for the variance of a function of a random variable
-
Cacoullos, Th.: On upper and lower bounds for the variance of a function of a random variable. Ann. Probab. 10, 799-809 (1982)
-
(1982)
Ann. Probab.
, vol.10
, pp. 799-809
-
-
Cacoullos, Th.1
-
9
-
-
3042798974
-
On the Cramér-Rao inequality
-
Fabian, V., Hannan, J.: On the Cramér-Rao inequality. Ann. Statist. 5, 197-205 (1977)
-
(1977)
Ann. Statist.
, vol.5
, pp. 197-205
-
-
Fabian, V.1
Hannan, J.2
-
10
-
-
0003513648
-
-
Addsion- Wesley, Cambridge, Mass
-
Gnedenko, B.V., Kolmogorov, A.N.: Limit distributions for sums of independent random variables. Addsion- Wesley, Cambridge, Mass, 1954
-
(1954)
Limit Distributions for Sums of Independent Random Variables
-
-
Gnedenko, B.V.1
Kolmogorov, A.N.2
-
11
-
-
0001429116
-
Logarithmic Sobolev inequalities
-
Gross, L.: Logarithmic Sobolev inequalities. Amer. J. Math., 97, 1061-1083 (1975)
-
(1975)
Amer. J. Math.
, vol.97
, pp. 1061-1083
-
-
Gross, L.1
-
13
-
-
0000126106
-
Entropy inequalities and the central limit theorem
-
Johnson, O.T.: Entropy inequalities and the Central Limit Theorem. Stochastic Process Appl. 88, 291-304 (2000)
-
(2000)
Stochastic Process Appl.
, vol.88
, pp. 291-304
-
-
Johnson, O.T.1
-
15
-
-
0000038925
-
On an inequality of Chernoff
-
Klaasen, C.A.J.: On an inequality of Chernoff. Ann. Probab. 13, 966-974 (1985)
-
(1985)
Ann. Probab.
, vol.13
, pp. 966-974
-
-
Klaasen, C.A.J.1
-
17
-
-
0000291871
-
An information-theoretic proof of the central limit theorem with the Lindeberg condition
-
Linnik, Y.V.: An information-theoretic proof of the Central Limit Theorem with the Lindeberg Condition. Theory Probab. Appl. 4, 288-299 (1959)
-
(1959)
Theory Probab. Appl.
, vol.4
, pp. 288-299
-
-
Linnik, Y.V.1
-
19
-
-
0001652267
-
On a local limit theorem for densities
-
In Russian
-
Prohorov, Y.V.: On a local limit theorem for densities. Doklady Akad. Nauk SSSR (N.S.), 83, 797-800 (1952) In Russian.
-
(1952)
Doklady Akad. Nauk SSSR (N.S.)
, vol.83
, pp. 797-800
-
-
Prohorov, Y.V.1
-
20
-
-
3042787339
-
On Fisher's amount of information for location family
-
G.P.Patil et al. (eds), Reidel
-
Shimizu, R.: On Fisher's amount of information for location family. In: G.P.Patil et al. (eds), Statistical Distributions in Scientific Work, Vol. 3, Reidel, 1975, pp. 305-312
-
(1975)
Statistical Distributions in Scientific Work
, vol.3
, pp. 305-312
-
-
Shimizu, R.1
-
21
-
-
12944295719
-
Some inequalities satisfied by the quantities of information of Fisher and Shannon
-
Stam, A.J.: Some inequalities satisfied by the quantities of information of Fisher and Shannon. Inform, and Control 2, 101-112 (1959)
-
(1959)
Inform. and Control
, vol.2
, pp. 101-112
-
-
Stam, A.J.1
|