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A note on mixed Poisson distributions (2502.08274v1)
Published 12 Feb 2025 in math.PR and math.CO
Abstract: In this note we discuss additional properties of mixed Poisson distributions. We discuss the convergence of mixed Poisson distributions to its mixing distribution for the scaling parameter tending to infinity. Moreover, we obtain a central limit theorem after centering by its mixing random variable, together with moment convergence.
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