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Berry–Esseen bound of wavelet estimators in heteroscedastic regression model with random errors

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ABSTRACT For the heteroscedastic regression model , where , are known to be nonrandom design points, and are defined on the closed interval [0,1]. When is known, we investigate the… Click to show full abstract

ABSTRACT For the heteroscedastic regression model , where , are known to be nonrandom design points, and are defined on the closed interval [0,1]. When is known, we investigate the Berry–Esseen type bounds for wavelet estimators of β and under are identically distributed ϕ-mixing random errors, when is unknown, the Berry–Esseen type bounds for wavelet estimators of β, and established under are independent random errors.

Keywords: random errors; berry esseen; regression model; heteroscedastic regression; wavelet estimators

Journal Title: International Journal of Computer Mathematics
Year Published: 2019

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