A general theorem on the limit behavior of superpositions of independent random processes with applications to Cox processes
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Publication:1354964
DOI10.1007/BF02362504zbMath0870.60048OpenAlexW2107218511MaRDI QIDQ1354964
Publication date: 19 May 1997
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02362504
Related Items (10)
Asymptotic behavior of generalized risk processes ⋮ Product representations for random variables with Weibull distributions and their applications ⋮ Limit theorems for continuous-time random walks in the double-array limit scheme ⋮ Estimates of the rate of convergence in the limit theorem for negative binomial random sums ⋮ Generalized negative binomial distributions as mixed geometric laws and related limit theorems ⋮ Risk process approximation with mixing ⋮ Convergence Rate Estimates in the Global CLT for Compound Mixed Poisson Distributions ⋮ Calculation of the deficiency of some statistical estimators constructed from samples with random sizes ⋮ The asymptotic behavior of extrema of compound Cox processes with nonzero means ⋮ An improvement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums
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