-
2
-
-
49649097497
-
Signed binomial approximation of binomial mixtures via differential calculus for linear operators
-
J. A. Adell and J. M. Anoz, "Signed binomial approximation of binomial mixtures via differential calculus for linear operators, " J. Statist. Plann. Inference, vol. 138, no. 12, pp. 3687-3695, 2008.
-
(2008)
J. Statist. Plann. Inference
, vol.138
, Issue.12
, pp. 3687-3695
-
-
Adell, J.A.1
Anoz, J.M.2
-
3
-
-
33746640191
-
Sharp estimates in signed Poisson approximation of Poisson mixtures
-
J. A. Adell and A. Lekuona, "Sharp estimates in signed Poisson approximation of Poisson mixtures, " Bernoulli, vol. 11, no. 1, pp. 47-65, 2005.
-
(2005)
Bernoulli
, vol.11
, Issue.1
, pp. 47-65
-
-
Adell, J.A.1
Lekuona, A.2
-
4
-
-
0001712486
-
-
Oxford, U. K.: Clarendon
-
A. D. Barbour, L. Holst, and S. Janson, Poisson Approximation, Oxford Studies in Probability. Oxford, U. K.: Clarendon, 1992, vol. 2.
-
(1992)
Poisson Approximation, Oxford Studies in Probability
, vol.2
-
-
Barbour, A.D.1
Holst, L.2
Janson, S.3
-
5
-
-
0003835602
-
-
New York: Springer-Verlag, pt. Part I
-
B. C. Berndt, Ramanujan's Notebooks. New York: Springer-Verlag, 1985, pt. Part I.
-
(1985)
Ramanujan's Notebooks
-
-
Berndt, B.C.1
-
6
-
-
34248400812
-
The asymptotic capacity of the direct detection photon channel with a bandwidth constraint
-
Monticello, IL, Oct
-
D. Brady and S. Verdú, "The asymptotic capacity of the direct detection photon channel with a bandwidth constraint, " in Proc. 28th Allerton Conf. Communication, Control and Computing, Monticello, IL, Oct. 1990, pp. 691-700.
-
(1990)
Proc. 28th Allerton Conf. Communication, Control and Computing
, pp. 691-700
-
-
Brady, D.1
Verdú, S.2
-
7
-
-
0018543746
-
Coding for T-user multiple-access channels
-
Nov
-
S. Chang and E. Weldon, "Coding for T-user multiple-access channels, " IEEE Trans. Inf. Theory, vol. IT-25, no. 6, pp. 684-691, Nov. 1979.
-
(1979)
IEEE Trans. Inf. Theory
, vol.IT-25
, Issue.6
, pp. 684-691
-
-
Chang, S.1
Weldon, E.2
-
9
-
-
77951605733
-
Asymptotics of the Shannon and Rényi entropies for sums of independent random variables
-
A. D'yachkov and P. Vilenkin, "Asymptotics of the Shannon and Rényi entropies for sums of independent random variables, " in Proc. ISIT, Cambridge, MA, 1998, p. 376.
-
(1998)
Proc. ISIT, Cambridge, MA
, pp. 376
-
-
D'yachkov, A.1
Vilenkin, P.2
-
10
-
-
54949129610
-
The entropy of a Poisson distribution: Problem 87-6
-
R. J. Evans, J. Boersma, N. M. Blachman, and A. A. Jagers, "The entropy of a Poisson distribution: Problem 87-6, " SIAMRev., vol. 30, pp. 314-317, 1988.
-
(1988)
SIAMRev.
, vol.30
, pp. 314-317
-
-
Evans, R.J.1
Boersma, J.2
Blachman, N.M.3
Jagers, A.A.4
-
11
-
-
0007554179
-
Singularity analysis and asymptotics of Bernoulli sums
-
P. Flajolet, "Singularity analysis and asymptotics of Bernoulli sums, " Theoret. Comput. Sci., vol. 275, pp. 371-387, 1999.
-
(1999)
Theoret. Comput. Sci.
, vol.275
, pp. 371-387
-
-
Flajolet, P.1
-
12
-
-
0026119317
-
Information capacity of the Poisson channel
-
Mar
-
M. R. Frey, "Information capacity of the Poisson channel, " IEEE Trans. Inf. Theory, vol. 37, no. 2, pp. 244-256, Mar. 1991.
-
(1991)
IEEE Trans. Inf. Theory
, vol.37
, Issue.2
, pp. 244-256
-
-
Frey, M.R.1
-
13
-
-
43749104456
-
Mutual information and conditional mean estimation in Poisson channels
-
May
-
D. Guo, S. Shamai, and S. Verdú, "Mutual information and conditional mean estimation in Poisson channels, " IEEE Trans. Inf. Theory, vol. 54, no. 5, pp. 1837-1849, May 2008.
-
(2008)
IEEE Trans. Inf. Theory
, vol.54
, Issue.5
, pp. 1837-1849
-
-
Guo, D.1
Shamai, S.2
Verdú, S.3
-
14
-
-
0035397657
-
Binomial and Poisson distributions as maximum entropy distributions
-
Jul
-
P. Harremoës, "Binomial and Poisson distributions as maximum entropy distributions, " IEEE Trans. Inf. Theory, vol. 47, no. 5, pp. 2039-2041, Jul. 2001.
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, Issue.5
, pp. 2039-2041
-
-
Harremoës, P.1
-
15
-
-
4544261302
-
Rate of convergence to Poisson law in terms of information divergence
-
Sep
-
P. Harremoës and P. S. Ruzankin, "Rate of convergence to Poisson law in terms of information divergence, " IEEE Trans. Inf. Theory, vol. 50, no. 9, pp. 2145-2149, Sep. 2004.
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.9
, pp. 2145-2149
-
-
Harremoës, P.1
Ruzankin, P.S.2
-
16
-
-
0002560302
-
Analytical depoissonization and its applications
-
P. Jacquet and W. Szpankowski, "Analytical depoissonization and its applications, " Theoret. Comput. Sci., vol. 201, pp. 1-62, 1998.
-
(1998)
Theoret. Comput. Sci.
, vol.201
, pp. 1-62
-
-
Jacquet, P.1
Szpankowski, W.2
-
17
-
-
0032642947
-
Entropy computations via analytic depoissonization
-
Jul
-
P. Jacquet and W. Szpankowski, "Entropy computations via analytic depoissonization, " IEEE Trans. Inf. Theory, vol. 45, no. 4, pp. 1072-1081, Jul. 1999.
-
(1999)
IEEE Trans. Inf. Theory
, vol.45
, Issue.4
, pp. 1072-1081
-
-
Jacquet, P.1
Szpankowski, W.2
-
18
-
-
34247645455
-
Log-concavity and the maximum entropy property of the Poisson distribution
-
Jun
-
O. Johnson, "Log-concavity and the maximum entropy property of the Poisson distribution, " Stochastic Process. Appl., vol. 117, no. 6, pp. 791-802, Jun. 2007.
-
(2007)
Stochastic Process. Appl.
, vol.117
, Issue.6
, pp. 791-802
-
-
Johnson, O.1
-
19
-
-
84949501486
-
-
3rd ed. Hoboken, NJ: Wiley
-
N. L. Johnson, A. W. Kemp, and S. Kotz, Univariate Discrete Distributions, 3rd ed. Hoboken, NJ: Wiley, 2005.
-
(2005)
Univariate Discrete Distributions
-
-
Johnson, N.L.1
Kemp, A.W.2
Kotz, S.3
-
20
-
-
0041352527
-
Integral representations and asymptotic expansions for Shannon and Renyi entropies
-
C. Knessl, "Integral representations and asymptotic expansions for Shannon and Renyi entropies, " Appl. Math. Lett., vol. 11, pp. 69-74, 1998.
-
(1998)
Appl. Math. Lett.
, vol.11
, pp. 69-74
-
-
Knessl, C.1
-
21
-
-
13444292359
-
Entropy and the law of small numbers
-
Feb
-
I. Kontoyiannis, P. Harremoës, and O. T. Johnson, "Entropy and the law of small numbers, " IEEE Trans. Inf. Theory, vol. 51, no. 2, pp. 466-472, Feb. 2005.
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.2
, pp. 466-472
-
-
Kontoyiannis, I.1
Harremoës, P.2
Johnson, O.T.3
-
22
-
-
58249144216
-
On the capacity of the discrete-time Poisson channel
-
Jan.
-
A. Lapidoth and S. M. Moser, "On the capacity of the discrete-time Poisson channel, " IEEE Trans. Inf. Theory, vol. 55, no. 1, pp. 303-322, Jan., 2009.
-
(2009)
IEEE Trans. Inf. Theory
, vol.55
, Issue.1
, pp. 303-322
-
-
Lapidoth, A.1
Moser, S.M.2
-
23
-
-
51649108339
-
Fisher information, compound Poisson approximation and the Poisson channel
-
Nice, France, Jun
-
M. Madiman, O. Johnson, and I. Kontoyiannis, "Fisher information, compound Poisson approximation and the Poisson channel, " presented at the IEEE Int. Symp. Information Theory, Nice, France, Jun. 2007.
-
(2007)
Presented at the IEEE Int. Symp. Information Theory
-
-
Madiman, M.1
Johnson, O.2
Kontoyiannis, I.3
-
24
-
-
34248366572
-
Spectral efficiency of optical direct detection
-
Apr
-
A. Martinez, "Spectral efficiency of optical direct detection, " J. Opt. Soc. Amer. B, vol. 24, no. 4, pp. 739-749, Apr. 2007.
-
(2007)
J. Opt. Soc. Amer. B
, vol.24
, Issue.4
, pp. 739-749
-
-
Martinez, A.1
-
25
-
-
34247627275
-
The entropy of the multinomial distribution
-
P. Mateev, "The entropy of the multinomial distribution, " Teor. Verojatnost. i Primenen., vol. 23, no. 1, pp. 196-198, 1978.
-
(1978)
Teor. Verojatnost. I Primenen.
, vol.23
, Issue.1
, pp. 196-198
-
-
Mateev, P.1
-
26
-
-
0025660133
-
Capacity of a pulse amplitude modulated direct detection photon channel
-
S. Shamai Shitz, pt. I Communications, Speech, and Vision, Dec
-
S. Shamai (Shitz), "Capacity of a pulse amplitude modulated direct detection photon channel, " Proc. Inst. Elec. Eng., vol. 137, no. 6, pt. I (Communications, Speech, and Vision), pp. 424-430, Dec. 1990.
-
(1990)
Proc. Inst. Elec. Eng.
, vol.137
, Issue.6
, pp. 424-430
-
-
-
27
-
-
0027286930
-
Bounds on the capacity of a spectrally constrained Poisson channel
-
S. Shamai Shitz and A. Lapidoth, Jan
-
S. Shamai (Shitz) and A. Lapidoth, "Bounds on the capacity of a spectrally constrained Poisson channel, " IEEE Trans. Inf. Theory, vol. 39, no. 1, pp. 19-29, Jan. 1993.
-
(1993)
IEEE Trans. Inf. Theory
, vol.39
, Issue.1
, pp. 19-29
-
-
-
28
-
-
0005299201
-
Entropy of the sum of independent bernoulli random variables and of the multinomial distribution
-
New York
-
L. A. Shepp and I. Olkin, "Entropy of the sum of independent bernoulli random variables and of the multinomial distribution, " in Proc. Contributions to Probability, New York, 1981, pp. 201-206.
-
(1981)
Proc. Contributions to Probability
, pp. 201-206
-
-
Shepp, L.A.1
Olkin, I.2
-
29
-
-
0036671937
-
Maximum entropy versus minimum risk and applications to some classical discrete distributions
-
Aug
-
F. Topsøe, "Maximum entropy versus minimum risk and applications to some classical discrete distributions, " IEEE Trans. Inf. Theory, vol. 48, no. 8, pp. 2368-2376, Aug. 2002.
-
(2002)
IEEE Trans. Inf. Theory
, vol.48
, Issue.8
, pp. 2368-2376
-
-
Topsøe, F.1
-
30
-
-
46749147708
-
On the maximum entropy properties of the binomial distribution
-
Jul
-
Y. Yu, "On the maximum entropy properties of the binomial distribution, " IEEE Trans. Inf. Theory, vol. 54, no. 7, pp. 3351-3353, Jul. 2008.
-
(2008)
IEEE Trans. Inf. Theory
, vol.54
, Issue.7
, pp. 3351-3353
-
-
Yu, Y.1
-
31
-
-
84894283832
-
On an asymptotic series of Ramanujan
-
Y. Yu, "On an asymptotic series of Ramanujan, " Ramanujan J., vol. 20, pp. 179-188, 2009.
-
(2009)
Ramanujan J.
, vol.20
, pp. 179-188
-
-
Yu, Y.1
-
32
-
-
57149144664
-
Complete monotonicity of the entropy in the central limit theorem for gamma and inverse Gaussian distributions
-
Y. Yu, "Complete monotonicity of the entropy in the central limit theorem for gamma and inverse Gaussian distributions, " Stat. Prob. Lett., vol. 79, pp. 270-274, 2009.
-
(2009)
Stat. Prob. Lett.
, vol.79
, pp. 270-274
-
-
Yu, Y.1
-
33
-
-
77951599486
-
Monotonic convergence in an information-theoretic law of small numbers
-
Dec
-
Y. Yu, "Monotonic convergence in an information-theoretic law of small numbers, " IEEE Trans. Inf. Theory, vol. 55, no. 12, pp. 5412-5422, Dec. 2009.
-
(2009)
IEEE Trans. Inf. Theory
, vol.55
, Issue.12
, pp. 5412-5422
-
-
Yu, Y.1
|