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- W2183655529 abstract "In this paper, we propose a sequential procedure ) ˆ , ( t t µ for estimating the mean, µ, of a class of skewed probability density functions, subject to the loss function , ) ˆ ( 2 2 t a L t a + − = µ µ where a is a given positive number, t is a stopping time of the type proposed by Robbins (1959) and t µ ˆ is a bias-corrected estimator of µ. We provide a second-order asymptotic expansion, as a → ∞, for the regret with respect to the loss La. For the Pareto and Skew-uniform distributions, the proposed sequential procedure ) ˆ , ( t t µ performs better than the procedure ), , ( t X t in the sense that it has a lower asymptotic regret. Moreover, the regret is negative for large values of a under the Gamma, Pareto, Rayleigh and Skew-uniform distributions. Using the loss considered by Chow and Yu (1981) and Martinsek (1988), we propose a bias-corrected estimator of µ and provide a second-order asymptotic expansion, as a → ∞, for the incurred regret." @default.
- W2183655529 created "2016-06-24" @default.
- W2183655529 creator A5091172033 @default.
- W2183655529 date "2014-01-01" @default.
- W2183655529 modified "2023-09-27" @default.
- W2183655529 title "Sequential Estimation of the Mean of a Class of Skewed Distributions" @default.
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