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Central limit theorem for polynomial forms. I

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Publication:918562
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DOI10.1007/BF00966074zbMath0706.60021MaRDI QIDQ918562

Liudas Giraitis

Publication date: 1989

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)



zbMATH Keywords

stationary processmethod of momentsspectral densitiesasymptotic normality of polynomial forms


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)





Cites Work

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  • Noncentral limit theorems and Appell polynomials
  • Central limit theorems for quadratic forms in random variables having long-range dependence
  • On bilinear forms in Gaussian random variables and Toeplitz matrices
  • Multiple Wiener-Ito integrals. With applications to limit theorems
  • CLT and other limit theorems for functionals of Gaussian processes




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