In this note we prove a functional central limit theorem for LPQD processes, satisfying some assumptions on the covariances and the moment condition \(\sup \_{j \geqslant 1} E\left|X\_{1}\right|^{2+}0\). ' 1943 Academic Press. Inc
A Central-Limit-Theorem for Isotropic Random-Walks on n-Spheres for n → ∞
✍ Scribed by M. Voit
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 359 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Let {__S~n~__, __n__ ≥ 1} be partial sums of independent identically distributed random variables. The almost sure version of CLT is generalized on the case of randomly indexed sums {__S~Nn~__, __n__ ≥ 1}, where {__N~n~__, __n__ ≥ 1} is a sequence of positive integer‐valued random varia
For a fixed probability measure ν ∈ M 1 ([0, ∞[) and any dimension p ∈ N there is a unique radial probability measure νp ∈ M 1 (R p ) with ν as its radial part. In this paper we study the limit behavior of S p n 2 for the associated radial random walks (Sn ) n ≥0 on R p whenever n, p tend to ∞ in so
An infinitely long beam on an elastic foundation is subjected to a constant force which is moving with a constant speed along it. The beam rests on a random foundation the stiffness of which is a random function of the length co-ordinate. The coefficient of viscous damping is also a random variable.