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Citation(s) in
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8
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1
Čekanavičius V
, Novak SY. Compound Poisson approximation.
PROBABILITY SURVEYS
2022. [DOI:
10.1214/22-ps8
]
[
Citation(s) in
RCA
: 0
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[
Impact Index Per Article: 0
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[Indexed: 11/19/2022]
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Affiliation(s)
V. Čekanavičius
Vilnius University, Lithuania
S. Y. Novak
MDX University London, UK
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2
Novak SY
. Poisson approximation.
PROBABILITY SURVEYS
2019. [DOI:
10.1214/18-ps318
]
[
Citation(s) in
RCA
: 14
]
[
Impact Index Per Article: 2.8
]
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[Indexed: 11/19/2022]
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3
Stein’s method for conditional compound Poisson approximation.
Stat Probab Lett
2015. [DOI:
10.1016/j.spl.2015.01.033
]
[
Citation(s) in
RCA
: 7
]
[
Impact Index Per Article: 0.8
]
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[Indexed: 11/20/2022]
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4
Novak S
, Xia A. On exceedances of high levels.
Stoch Process Their Appl
2012. [DOI:
10.1016/j.spa.2011.09.003
]
[
Citation(s) in
RCA
: 1
]
[
Impact Index Per Article: 0.1
]
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[Indexed: 10/17/2022]
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5
Approximation for expectations of unbounded functions of dependent integer-valued random variables.
J Appl Probab
2010. [DOI:
10.1017/s0021900200006847
]
[
Citation(s) in
RCA
: 0
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Impact Index Per Article: 0
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[Indexed: 11/05/2022]
Abstract
Expectations of unbounded functions of dependent nonnegative integer-valued random variables are approximated by the expectations of the functions of independent copies of these random variables. The Lindeberg method is used.
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6
Schuhmacher D
. Distance estimates for dependent superpositions of point processes.
Stoch Process Their Appl
2005. [DOI:
10.1016/j.spa.2005.06.004
]
[
Citation(s) in
RCA
: 7
]
[
Impact Index Per Article: 0.4
]
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[Indexed: 11/25/2022]
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7
On the rate of Poisson process approximation to a Bernoulli process.
J Appl Probab
2004. [DOI:
10.1017/s0021900200014200
]
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Citation(s) in
RCA
: 0
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Impact Index Per Article: 0
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[Indexed: 11/07/2022]
Abstract
The main result of the paper is a refinement of Xia's (1997) bound on the Kantorovich distance between distributions of a Bernoulli point process and an approximating Poisson process. In particular, we show that the distance between distributions of a Bernoulli point process and the Poisson process with the same mean measure has the order of the total variation distance between the laws of the total masses of these processes.
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8
Novak S
. On the accuracy of multivariate compound Poisson approximation.
Stat Probab Lett
2003. [DOI:
10.1016/s0167-7152(02)00422-4
]
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Citation(s) in
RCA
: 2
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[
Impact Index Per Article: 0.1
]
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[Indexed: 10/27/2022]
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