TY  - BOOK
AU  - Philipp,Walter
AU  - Stout,William F.
TI  - Almost sure invariance principles for partial sums of weakly dependent random variables
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470405472 (online)
AV  - QA3QA273 .A57 no. 161
U1  - 510/.8 s519.2 
PY  - 1975///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Random variables
KW  - Partial sums (Series)
KW  - Sequences (Mathematics)
KW  - Stochastic processes
N1  - "Volume 2, issue 2."; Bibliography: p. 138-140; 1. Introduction; 2. Description of the method; 3. Lacunary trigonometric series with unweighted summands; 4. Stationary $\phi $-mixing sequences; 5. Gaussian sequences; 6. Lacunary trigonometric series with weights; 7. Functions of strongly mixing random variables; 8. Nonstationary mixing sequences; 9. A refinement of the Shannon-McMillan-Breiman theorem; 10. Markov sequences; 11. Retarded asymptotic martingale difference sequences; 12. Continuous parameter stochastic processes; Appendix I. The Gaal-Koksma strong law of large numbers; Appendix I. An example; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0161
UR  - http://dx.doi.org/10.1090/memo/0161
ER  -