Uniqueness of the maximum likelihood estimator for k-monotone densities
Arseni Seregin
TL;DR
This paper proves that the maximum likelihood estimator for k-monotone densities is unique, ensuring consistent and reliable estimation within this class of functions.
Contribution
It establishes the first proof of uniqueness for the MLE in the class of k-monotone densities, advancing theoretical understanding.
Findings
Proves the uniqueness of the MLE for k-monotone densities
Ensures the reliability of the MLE in this class
Provides a theoretical foundation for future estimation methods
Abstract
We prove uniqueness of the maximum likelihood estimator for the class of k-monotone densities.
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Taxonomy
TopicsStatistical Methods and Inference · Advanced Statistical Methods and Models · Functional Equations Stability Results