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math.ST2024
Robust estimations from distribution structures: III. Invariant Moments
Li Tuobang
Descriptive statistics for parametric models are currently highly sensative to departures, gross errors, and/or random errors. Here, leveraging the structures of parametric distrib…
math.ST2024
Robust estimations from distribution structures: II. Central Moments
Li Tuobang
In descriptive statistics, -statistics arise naturally in producing minimum-variance unbiased estimators. In 1984, Serfling considered the distribution formed by evaluating the…
math.ST2024
Robust estimations from distribution structures: I. Mean
Li Tuobang
As the most fundamental problem in statistics, robust location estimation has many prominent solutions, such as the trimmed mean, Winsorized mean, Hodges Lehmann estimator, Huber M…