A central limit theorem for generalized multilinear forms
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Publication:921705
DOI10.1016/0047-259X(90)90040-OzbMath0709.60019OpenAlexW2161488883MaRDI QIDQ921705
Publication date: 1990
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0047-259x(90)90040-o
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Cites Work
- Unnamed Item
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- Unnamed Item
- Central limit theorem for integrated square error of multivariate nonparametric density estimators
- A central limit theorem for generalized quadratic forms
- Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances
- Limit theorems for polylinear forms
- A Berry-Esseen bound for symmetric statistics
- Central limit theorems for a class of symmetric statistics
- Some Limit Theorems for Polynomials of Second Degree
- Dissociated random variables
- Multiple comparisons and sums of dissociated random variables
- A Central Limit Theorem with Nonparametric Applications
- On the Departure from Normality of a Certain Class of Martingales
- A Class of Statistics with Asymptotically Normal Distribution
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