A Central Limit Theorem for Cluster-invariant Particle Systems
β Scribed by Rainer Siegmund-Schultze
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 480 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Additive models based on backfitting estimators are among the most important recent contributions to modern statistical modelling. However, the statistical properties of backfitting estimators have received relatively little attention.
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
We describe the behavior of the n-fold convolutions under a suitable scaling as n Βͺ Ο±, where f is an integrable complex-valued function on β«.ήβ¬ We consider only the unstable case and only two typical examples in Λp q Ε½ . Γ < < < < 4 that case. In the first example f is defined by f t s exp i t y t
## Abstract Let {__S~n~__, __n__ β₯ 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__ β₯ 1}, where {__N~n~__, __n__ β₯ 1} is a sequence of positive integerβvalued random varia