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Central Limit Theorems for Exchangeable Random Variables When Limits Are Scale Mixtures of Normals

✍ Scribed by Xinxin Jiang; Marjorie G. Hahn

Book ID
111552022
Publisher
Springer US
Year
2003
Tongue
English
Weight
365 KB
Volume
16
Category
Article
ISSN
0894-9840

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πŸ“œ SIMILAR VOLUMES

Empirical central limit theorems for exc
Empirical central limit theorems for exchangeable random variables
✍ Xinxin Jiang; Marjorie G. Hahn πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 102 KB

This paper provides an empirical central limit theorem (CLT) for exchangeable random variables when the norming constants in the regular CLT are √ nh(n) with h(n) a slowly varying function. The situation with norming constants of the form nh(n) is also discussed.

A central limit theorem for self-normali
A central limit theorem for self-normalized products of random variables
✍ M.P Quine πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 100 KB

We give conditions under which the self-normalized product of independent and identically distributed (i.i.d) random variables X1; X2; : : :, where \* denotes the sum over all n-1-long sequences of integers 16i1Β‘i2Β‘ β€’ β€’ β€’ Β‘in-16n, is asymptotically normally distributed as n β†’ ∞.