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Citation(s) in
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For:
Lewis PAW
.
Implications of a failure model for the use and maintenance of computers.
J Appl Probab
1964;
1
:347-68. [DOI:
10.1017/s0021900200108459
]
[
Citation(s) in
RCA
: 2
]
[
Impact Index Per Article: 0.3
]
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[Indexed: 11/07/2022]
Number
Cited by Other Article(s)
1
Gilles DC
, Lewis PAW. The spectrum of intervals of a geometric branching poisson process.
J Appl Probab
2016. [DOI:
10.2307/3212313
]
[
Citation(s) in
RCA
: 2
]
[
Impact Index Per Article: 0.3
]
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[Indexed: 11/10/2022]
Abstract
A summation formula is given for computing the spectrum of intervals of a geometric branching Poisson process from the cumulant generating function of the associated counting process.
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2
Lewis P
. Asymptotic properties and equilibrium conditions for branching Poisson processes.
J Appl Probab
2016. [DOI:
10.2307/3212006
]
[
Citation(s) in
RCA
: 24
]
[
Impact Index Per Article: 3.0
]
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[Indexed: 11/10/2022]
Abstract
Some previously obtained asymptotic results for branching Poisson processes are extended and sharpened. It is shown that under rather general conditions the number of events in both the transient and the equilibrium processes, suitably normalized, have a unit normal distribution. Finally, unique initial conditions are derived for the equilibrium process.
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