-
1
-
-
0002005293
-
Two moments suffice for Poisson approximations: The Chen-Stein method
-
Arratia, R., Goldstein, L. and Gordon, L. (1989) Two moments suffice for Poisson approximations: the Chen-Stein method. Ann. Probab., 17, 9-25.
-
(1989)
Ann. Probab.
, vol.17
, pp. 9-25
-
-
Arratia, R.1
Goldstein, L.2
Gordon, L.3
-
2
-
-
84972496740
-
Poisson approximation and the Chen-Stein method
-
Arratia, R., Goldstein, L. and Gordon, L. (1990) Poisson approximation and the Chen-Stein method. Statist. Sci., 5, 403-434.
-
(1990)
Statist. Sci.
, vol.5
, pp. 403-434
-
-
Arratia, R.1
Goldstein, L.2
Gordon, L.3
-
3
-
-
0035413565
-
Compound Poisson approximation: A user's guide
-
Barbour A.D. and Chryssaphinou O. (2001) Compound Poisson approximation: a user's guide. Ann. Appl. Probab., 11, 964-1002.
-
(2001)
Ann. Appl. Probab.
, vol.11
, pp. 964-1002
-
-
Barbour, A.D.1
Chryssaphinou, O.2
-
4
-
-
0036630899
-
Compound Poisson process approximation
-
Barbour, A.D. and Mansson, M. (2002) Compound Poisson process approximation. Ann. Probab., 30, 1492-1537.
-
(2002)
Ann. Probab.
, vol.30
, pp. 1492-1537
-
-
Barbour, A.D.1
Mansson, M.2
-
6
-
-
0010486053
-
Applications of compound Poisson approximation
-
In Ch. A. Charalambides, M.V. Koutras and N. Balakrishnan (eds), Boca Raton, FL: Chapman & Hall
-
Barbour, A.D., Chryssaphinou, O. and Vaggelatou, E. (2001) Applications of compound Poisson approximation. In Ch. A. Charalambides, M.V. Koutras and N. Balakrishnan (eds), Probability and Statistical Models with Applications, pp. 41-62. Boca Raton, FL: Chapman & Hall.
-
(2001)
Probability and Statistical Models With Applications
, pp. 41-62
-
-
Barbour, A.D.1
Chryssaphinou, O.2
Vaggelatou, E.3
-
7
-
-
0034310125
-
A bound for the distribution of the sum of discrete associated or negatively associated random variables
-
Boutsikas, M.V. and Koutras, M.V (2000) A bound for the distribution of the sum of discrete associated or negatively associated random variables. Ann. Appl. Probab., 10, 1137-1150.
-
(2000)
Ann. Appl. Probab.
, vol.10
, pp. 1137-1150
-
-
Boutsikas, M.V.1
Koutras, M.V.2
-
8
-
-
0008676446
-
Compound Poisson approximation for sums of dependent random variables
-
In Ch.A. Charalambides, M.V. Koutras, N. Balakrishnan (eds), Boca Raton, FL: Chapman & Hall
-
Boutsikas, M.V. and Koutras, M.V (2001) Compound Poisson approximation for sums of dependent random variables. In Ch.A. Charalambides, M.V. Koutras, N. Balakrishnan (eds), Probability and Statistical Models with Applications, pp. 63-86. Boca Raton, FL: Chapman & Hall.
-
(2001)
Probability and Statistical Models With Applications
, pp. 63-86
-
-
Boutsikas, M.V.1
Koutras, M.V.2
-
10
-
-
0036612670
-
On the distance between convex-ordered random variables
-
Boutsikas, M.V and Vaggelatou, E. (2002) On the distance between convex-ordered random variables. Adv. Appl. Probab., 34, 349-374.
-
(2002)
Adv. Appl. Probab.
, vol.34
, pp. 349-374
-
-
Boutsikas, M.V.1
Vaggelatou, E.2
-
11
-
-
0001067389
-
Poisson approximation for dependent trials
-
Chen, L.H.Y. (1975). Poisson approximation for dependent trials. Ann. Probab., 3, 534-545.
-
(1975)
Ann. Probab.
, vol.3
, pp. 534-545
-
-
Chen, L.H.Y.1
-
12
-
-
4544241299
-
Stein's method, Palm theory and Poisson process approximation
-
Chen, L.H.Y. and Xia, A. (2004) Stein's method, Palm theory and Poisson process approximation. Ann. Probab., 32, 2545-2569.
-
(2004)
Ann. Probab.
, vol.32
, pp. 2545-2569
-
-
Chen, L.H.Y.1
Xia, A.2
-
13
-
-
0001184792
-
Poisson approximations for r-scan processes
-
Dembo, A. and Karlin, S. (1992) Poisson approximations for r-scan processes. Ann. Appl. Probab., 2, 329-357.
-
(1992)
Ann. Appl. Probab.
, vol.2
, pp. 329-357
-
-
Dembo, A.1
Karlin, S.2
-
14
-
-
0013530368
-
The Poisson approximation for dependent events
-
Freedmen, D. (1974) The Poisson approximation for dependent events. Ann. Probab., 2, 256-269.
-
(1974)
Ann. Probab.
, vol.2
, pp. 256-269
-
-
Freedmen, D.1
-
15
-
-
0032222171
-
On the distribution of tail array sums for strongly mixing stationary sequences
-
Rootzén, H., Leadbetter, M.R. and De Haan, L. (1998) On the distribution of tail array sums for strongly mixing stationary sequences. Ann. Appl. Probab., 8, 868-885.
-
(1998)
Ann. Appl. Probab.
, vol.8
, pp. 868-885
-
-
Rootzén, H.1
Leadbetter, M.R.2
De Haan, L.3
-
16
-
-
0001443701
-
A general Poisson approximation theorem
-
Serfling, R.J. (1975) A general Poisson approximation theorem. Ann. Probab., 3, 726-731.
-
(1975)
Ann. Probab.
, vol.3
, pp. 726-731
-
-
Serfling, R.J.1
-
17
-
-
0001411184
-
Some elementary results on Poisson approximations in a sequence of Bernoulli trials
-
Serfling, R.J. (1978) Some elementary results on Poisson approximations in a sequence of Bernoulli trials. SIAM Rev., 20, 567-579.
-
(1978)
SIAM Rev.
, vol.20
, pp. 567-579
-
-
Serfling, R.J.1
-
18
-
-
0000087238
-
Compound Poisson approximation for sums of random variables
-
Serfozo, R. (1986) Compound Poisson approximation for sums of random variables Ann. Probab., 14, 1391-1398.
-
(1986)
Ann. Probab.
, vol.14
, pp. 1391-1398
-
-
Serfozo, R.1
-
19
-
-
33748707592
-
On compound Poisson approximation for sums of random variables
-
Vellaisamy, P. and Chandburi, B. (1999) On compound Poisson approximation for sums of random variables. Statist. Probab. Lett., 41, 179-189.
-
(1999)
Statist. Probab. Lett.
, vol.41
, pp. 179-189
-
-
Vellaisamy, P.1
Chandburi, B.2
-
20
-
-
84988122562
-
Coupling methods in approximations
-
Wang, Y.H. (1986) Coupling methods in approximations. Canad. J. Statist., 14, 69-74.
-
(1986)
Canad. J. Statist.
, vol.14
, pp. 69-74
-
-
Wang, Y.H.1
-
21
-
-
0002542102
-
From Poisson to compound Poisson approximations
-
Wang, Y.H. (1989) From Poisson to compound Poisson approximations. Math. Sci., 14, 38-49.
-
(1989)
Math. Sci.
, vol.14
, pp. 38-49
-
-
Wang, Y.H.1
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