On Poisson Approximation
SY Novak - Journal of Theoretical Probability, 2024 - Springer
The problem of evaluating the accuracy of Poisson approximation to the distribution of a sum
of independent integer-valued random variables has attracted a lot of attention in the past …
of independent integer-valued random variables has attracted a lot of attention in the past …
[图书][B] Approximation methods in probability theory
V Čekanavičius - 2016 - Springer
The limit theorems of probability theory are at the core of multiple models used in the broad
field of scientific research. Their main function is to replace the initial complicated stochastic …
field of scientific research. Their main function is to replace the initial complicated stochastic …
Channel coding at low capacity
Low-capacity scenarios have become increasingly important in the technology of Internet of
Things (IoT) and the next generation of mobile networks. Such scenarios require efficient …
Things (IoT) and the next generation of mobile networks. Such scenarios require efficient …
[图书][B] Compound Poisson approximation
V Čekanavičius, SY Novak - 2024 - books.google.com
Compound Poisson approximation appears naturally in situations where one deals with a
large number of rare events. It has important applications in insurance, extreme value …
large number of rare events. It has important applications in insurance, extreme value …
Distribution of the sum-of-digits function of random integers: a survey
We review some probabilistic properties of the sum-of-digits function of random integers.
New asymptotic approximations to the total variation distance and its refinements are also …
New asymptotic approximations to the total variation distance and its refinements are also …
Poisson approximations for sum of Bernoulli random variables and its application to Ewens sampling formula
H Yamato - Journal of the Japan Statistical Society, 2017 - jstage.jst.go.jp
The Ewens sampling formula is well-known as a distribution of a random partition of the set
of integers {1, 2,..., n}. We give the condition that the number Kn of distinct components of the …
of integers {1, 2,..., n}. We give the condition that the number Kn of distinct components of the …
[HTML][HTML] Explicit upper bounds for the Stirling numbers of the first kind
JA Adell - Journal of Combinatorial Theory, Series A, 2022 - Elsevier
We give explicit upper bounds for the Stirling numbers of the first kind s (n, m) which are
asymptotically sharp. The form of such bounds varies according to m lying in the central or …
asymptotically sharp. The form of such bounds varies according to m lying in the central or …
Standard and robust intensity parameter estimation for stationary determinantal point processes
CAN Biscio, JF Coeurjolly - Spatial Statistics, 2016 - Elsevier
This work is concerned with the estimation of the intensity parameter of a stationary
determinantal point process. We consider the standard estimator, corresponding to the …
determinantal point process. We consider the standard estimator, corresponding to the …
[图书][B] Statistics Based on Dirichlet Processes and Related Topics
H Yamato - 2020 - Springer
As a probability distribution on the space of probability distributions, the Dirichlet process
was introduced by Ferguson in 1973 and made a new era for nonparametric Bayes …
was introduced by Ferguson in 1973 and made a new era for nonparametric Bayes …
Compound Poisson Approximations in -norm for Sums of Weakly Dependent Vectors
V Čekanavičius, P Vellaisamy - Journal of Theoretical Probability, 2021 - Springer
The distribution of the sum of 1-dependent lattice vectors with supports on coordinate axes is
approximated by a multivariate compound Poisson distribution and by signed compound …
approximated by a multivariate compound Poisson distribution and by signed compound …