-
1
-
-
0004133549
-
-
Clarendon, Oxford
-
Barbour, A.D., Holst, L., Janson, S.: Poisson Approximation. Clarendon, Oxford (1992)
-
(1992)
Poisson Approximation
-
-
Barbour, A.D.1
Holst, L.2
Janson, S.3
-
2
-
-
0034310125
-
A bound for the distribution of the sum of discrete associated or negatively associated random variables
-
Boutsikas, M.V., Koutras, M.V.: A bound for the distribution of the sum of discrete associated or negatively associated random variables. Ann. Appl. Probab. 10, 1137-1150 (2000)
-
(2000)
Ann. Appl. Probab
, vol.10
, pp. 1137-1150
-
-
Boutsikas, M.V.1
Koutras, M.V.2
-
3
-
-
34248569042
-
Discriminating between sequences of Bernoulli and Markov-Bernoulli trials
-
Campbell, S.A., Godbole, A.P., Schaller, S.: Discriminating between sequences of Bernoulli and Markov-Bernoulli trials. Commun. Stat. Theory Methods 23, 2787-2814 (1994)
-
(1994)
Commun. Stat. Theory Methods
, vol.23
, pp. 2787-2814
-
-
Campbell, S.A.1
Godbole, A.P.2
Schaller, S.3
-
4
-
-
18244425090
-
Signed Poisson approximations for Markov chains
-
Čekanavičus, V., Mikalauskas, M.: Signed Poisson approximations for Markov chains. Stoch. Process. Appl. 82, 205-227 (1999)
-
(1999)
Stoch. Process. Appl
, vol.82
, pp. 205-227
-
-
Čekanavičus, V.1
Mikalauskas, M.2
-
5
-
-
33747172588
-
An expansion in the exponent for compound binomial approximations
-
Čekanavičius, V., Roos, B.: An expansion in the exponent for compound binomial approximations. Lith. Math. J. 46, 54-91 (2006)
-
(2006)
Lith. Math. J
, vol.46
, pp. 54-91
-
-
Čekanavičius, V.1
Roos, B.2
-
7
-
-
10644237294
-
Centered Poisson approximation via Stein's method
-
Čekanavičius, V., Vaitkus, P.: Centered Poisson approximation via Stein's method. Lith. Math. J. 41, 319-329 (2001)
-
(2001)
Lith. Math. J
, vol.41
, pp. 319-329
-
-
Čekanavičius, V.1
Vaitkus, P.2
-
8
-
-
0001304069
-
On a relationship between Uspensky's theorem and Poisson approximations
-
Deheuvels, P., Pfeifer, D.: On a relationship between Uspensky's theorem and Poisson approximations. Ann. Inst. Stat. Math. 40, 671-681 (1988)
-
(1988)
Ann. Inst. Stat. Math
, vol.40
, pp. 671-681
-
-
Deheuvels, P.1
Pfeifer, D.2
-
9
-
-
34248587526
-
-
Dobrushin, R.L.: Limit theorems for a Markov chain of two states. Izv. Akad. Nauk. USSR Ser. Mat. 17, 291-330 (1953) (Russian).
-
Dobrushin, R.L.: Limit theorems for a Markov chain of two states. Izv. Akad. Nauk. USSR Ser. Mat. 17, 291-330 (1953) (Russian).
-
-
-
-
10
-
-
34248587525
-
-
English translation in Select. Transl. Math. Stat. Probab. 1, 97-134. Inst. Math. Stat. and Am. Math. Soc. (1961)
-
English translation in Select. Transl. Math. Stat. Probab. 1, 97-134. Inst. Math. Stat. and Am. Math. Soc. (1961)
-
-
-
-
11
-
-
0033244644
-
Compound Poisson approximation for Markov chains using Stein's method
-
Erhardsson, T.: Compound Poisson approximation for Markov chains using Stein's method. Ann. Probab. 27, 565-596 (1999)
-
(1999)
Ann. Probab
, vol.27
, pp. 565-596
-
-
Erhardsson, T.1
-
12
-
-
0035648910
-
Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion
-
Roos, B.: Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion. Theory Probab. Appl. 45, 258-272 (2000)
-
(2000)
Theory Probab. Appl
, vol.45
, pp. 258-272
-
-
Roos, B.1
-
13
-
-
0000885438
-
Sharp constants in the Poisson approximation
-
Roos, B.: Sharp constants in the Poisson approximation. Stat. Probab. Lett. 52, 155-168 (2001)
-
(2001)
Stat. Probab. Lett
, vol.52
, pp. 155-168
-
-
Roos, B.1
-
14
-
-
0001443701
-
A general Poisson approximation theorem
-
Serfling, R.J.: A general Poisson approximation theorem. Ann. Probab. 3, 726-731 (1975)
-
(1975)
Ann. Probab
, vol.3
, pp. 726-731
-
-
Serfling, R.J.1
-
15
-
-
34248529486
-
-
Serfozo, R.F.: Compound Poisson approximations for sums of random variables. Ann. Probab. 14, 1391-1398 (1986). Correction: Ann. Probab. 16, 429-430 (1988)
-
Serfozo, R.F.: Compound Poisson approximations for sums of random variables. Ann. Probab. 14, 1391-1398 (1986). Correction: Ann. Probab. 16, 429-430 (1988)
-
-
-
-
16
-
-
21444438740
-
Binomial approximation for dependent indicators
-
Soon, S.Y.T.: Binomial approximation for dependent indicators. Statistica Sinica 6, 703-714 (1996)
-
(1996)
Statistica Sinica
, vol.6
, pp. 703-714
-
-
Soon, S.Y.T.1
-
17
-
-
14644408743
-
2)-events via the Stein-Chen method
-
2)-events via the Stein-Chen method. J. Appl. Probab. 41, 1081-1092 (2004)
-
(2004)
J. Appl. Probab
, vol.41
, pp. 1081-1092
-
-
Vellaisamy, P.1
-
18
-
-
0019663470
-
On the limit of the Markov binomial distribution
-
Wang, Y.H.: On the limit of the Markov binomial distribution. J. Appl. Probab. 18, 937-942 (1981)
-
(1981)
J. Appl. Probab
, vol.18
, pp. 937-942
-
-
Wang, Y.H.1
|