Central Limit Theorems for Nonlinear Hierarchical Sequences of Random Variables
β Scribed by Jan Wehr; Jung M. Woo
- Book ID
- 110290874
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 145 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper provides an empirical central limit theorem (CLT) for exchangeable random variables when the norming constants in the regular CLT are β nh(n) with h(n) a slowly varying function. The situation with norming constants of the form nh(n) is also discussed.
## Abstract The paper provides some central limit theorems for triangular arrays of Markovβconnected random variables. It is assumed the Markov chain to satisfy condition (__D__~1~) which is an generalization of strong Doeblin's condition (__D~o~__). One result represents a central limit theorem wi