Functional limit theorems for weighted sums of I.I.D. random variables

Probability Theory and Related Fields

Volumn 72, Issue 2, 1986, Pages 161-183

  Kasahara, Yuji ^a   Maejima, Makoto ^b  

^a UNIVERSITY OF TSUKUBA   (Japan)

^b KEIO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347460742     PISSN: 01788051     EISSN: 14322064     Source Type: Journal    
DOI: 10.1007/BF00699101     Document Type: Article

References (16)

1. On Valiron and circle convergence
2. Summability methods and almost sure convergence
3. Delayed sums and Borel summability of independent identically distributed random variables
4. functional limit theorems for dependent random variables
5. The central limit theorem for summability methods of i.i.d. random variables
6. Central limit phenomena of various interacting systems
7. Summability methods for independent identically distributed random variables
8. Weak convergence of probability measures and random functions in the function space D[0,∞)
9. A limit theorem for discounted sums
10. Local limit theorems for sums of weighted independent random variables
11. Limit theorems for stochastic processes with independent increments