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The central limit theorem in a series scheme for a class of interchangeable random variables

✍ Scribed by R. Kh. Khairullin


Book ID
105546476
Publisher
Springer US
Year
1995
Tongue
English
Weight
275 KB
Volume
74
Category
Article
ISSN
1573-8795

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A central limit theorem for self-normali
✍ 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†’ ∞.