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- W4376286354 abstract "We develop a new globally convergent optimization method for solving a constrained minimization problem underlying the minimum density power divergence estimator for univariate Gaussian data in the presence of outliers. Our hybrid procedure combines classical Newton’s method with a gradient descent iteration equipped with a step control mechanism based on Armijo’s rule to ensure global convergence. Extensive simulations comparing the resulting estimation procedure with the more prominent robust competitor, Minimum Covariance Determinant (MCD) estimator, across a wide range of breakdown point values suggest improved efficiency of our method. Application to estimation and inference for a real-world dataset is also given." @default.
- W4376286354 created "2023-05-13" @default.
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- W4376286354 date "2023-05-11" @default.
- W4376286354 modified "2023-10-01" @default.
- W4376286354 title "A hybrid method for density power divergence minimization with application to robust univariate location and scale estimation" @default.
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- W4376286354 doi "https://doi.org/10.1080/03610926.2023.2209347" @default.
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