✦ LIBER ✦

Remarks on limit theorems for nonlinear functionals of Gaussian sequences

✍ Scribed by Murray Rosenblatt

Publisher: Springer
Year: 1987
Tongue: English
Weight: 322 KB
Volume: 75
Category: Article
ISSN: 1432-2064
DOI: 10.1007/bf00320078

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Limit theorems for Fourier transforms of

Limit theorems for Fourier transforms of functionals of Gaussian sequences

✍ M. Rosenblatt 📂 Article 📅 1981 🏛 Springer 🌐 English ⚖ 366 KB

Necessary conditions for nonlinear funct

Necessary conditions for nonlinear functionals of Gaussian processes to satisfy central limit theorems

✍ Daniel Chambers; Eric Slud 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 802 KB

Non-central Limit Theorems for Non-linea

Non-central Limit Theorems for Non-linear Functionals of k Gaussian Fields

✍ M.V.S. Denaranjo 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 631 KB

Almost sure limit theorems for the maxim

Almost sure limit theorems for the maximum of stationary Gaussian sequences

✍ Endre Csáki; Khurelbaatar Gonchigdanzan 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 111 KB

We prove an almost sure limit theorem for the maxima of stationary Gaussian sequences with covariance r n under the condition r n log n(log log n) 1+ = O(1).

Remarks on the functional central limit

Remarks on the functional central limit theorem for martingales

✍ Peter Gänssler; Erich Häusler 📂 Article 📅 1979 🏛 Springer 🌐 English ⚖ 283 KB

Limit Theorems for the Non-linear Functi

Limit Theorems for the Non-linear Functional of Stationary Gaussian Processes

✍ Samir Ben Hariz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 193 KB

In this paper we consider two functional limit theorems for the non-linear functional of the stationary Gaussian process satisfying short range dependence conditions: the functional CLT for partial sum processes and the uniform CLT for a special class of functions. To carry out the proofs, we develo