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papers/alphastable_distributions/main.tex

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@@ -855,7 +855,7 @@ \section{Conclusion}
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\section{Appendix: Error analysis for the LePage series estimate}
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\label{app:appendixerror}
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%\subsection{Resulting Error From LePage Series Estimate}
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In this appendix, we derive an upper bound on the mean square error of the LePage series estimate; we frequently use the following asymptotics of the gamma function from \cite{NIST:DLMF}: Let $x,a,b\in\mathbb{R}$, then we have
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In this appendix, we derive an upper bound on the mean square error of the LePage series estimate; we frequently use the following asymptotics of the gamma function from \cite{NIST:DLMF}: Let $x,a,b\in\mathbb{R}$, then we have
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\[
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\lim_{x \to \infty} \frac{\Gamma(x+a)}{\Gamma(x+b) \, x^{a-b}} = 1,
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\]

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