𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limit theorems for short distances under weak dependence

✍ Scribed by K.-I. Yoshihara

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
197 KB
Volume
47
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Limit theorems for short distances in Rm
Limit theorems for short distances in Rm
✍ Vera R. Eastwood; Lajos HorvΓ‘th πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 96 KB

We prove the weak convergence of the empirical process of a(n) close pairs. The limit process is always Gaussian but its form depends on how fast the sequence a(n) goes to zero.

A triangular central limit theorem under
A triangular central limit theorem under a new weak dependence condition
✍ ClΓ©mentine Coulon-Prieur; Paul Doukhan πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 107 KB

We use a new weak dependence condition from Doukhan and Louhichi (Stoch. Process. Appl. 1999, 84, 313-342) to provide a central limit theorem for triangular arrays; this result applies for linear arrays (as in Peligrad and Utev, Ann. Probab. 1997, 25(1), 443-456) and standard kernel density estimate