Compound Poisson approximations for sums of 1-dependent random variables. I
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Publication:619340
DOI10.1007/s10986-010-9089-xzbMath1223.60024OpenAlexW1988971084MaRDI QIDQ619340
Vydas Čekanavičius, Jūratė Petrauskienė
Publication date: 24 January 2011
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-010-9089-x
Nonparametric hypothesis testing (62G10) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)
Related Items
Compound Poisson approximation ⋮ On large deviations for sums of discrete m-dependent random variables ⋮ Compound Poisson approximations in \(\ell_p\)-norm for sums of weakly dependent vectors ⋮ Compound Poisson approximations for sums of 1-dependent random variables. II ⋮ Compound Poisson approximations to sums of extrema of Bernoulli variables ⋮ Approximations for sums of three-valued 1-dependent symmetric random variables ⋮ Note on nonuniform estimate for compound Poisson approximations to \(2\)-runs ⋮ Smoothing effect of compound Poisson approximations to the distributions of weighted sums ⋮ Infinitely divisible approximations for sums of \(m\)-dependent random variables
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