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math.ST updates on arXiv.org

What is Learnable in Valiant's Theory of the Learnable? 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Parameter Estimation of Incomplete Gamma Subordinators
Meena Sanjay Babulal, Sunil Kumar Gauttam, Aditya Maheshwari · 2026-04-03 · via math.ST updates on arXiv.org

In this paper, we estimate the parameters of InG, InG-$ε$ and TInG subordinators which have been studied by Babulal \textit{et al} (see \cite{babulal}). We have modified the method of moments technique to use fractional moments of the InG and InG-$ε$ subordinator due to their infinite moments. For the TInG subordinator's parameter estimation, we have used the method of moments. We also compute the maximum likelihood estimator(MLE) for the parameter $α$ of the InG and InG-$ε$ subordinators using jump distribution of the process. We also discussed the asymptotic normality of MLE.

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