Philipp, Walter, 1936-
Almost sure invariance principles for partial sums of weakly dependent random variables / [electronic resource] Walter Philipp and William Stout. - Providence, R.I. : American Mathematical Society, 1975. - 1 online resource (iv, 140 p.) - Memoirs of the American Mathematical Society, v. 161 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 161. .
"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
Mode of access : World Wide Web
9781470405472 (online)
Random variables.
Partial sums (Series)
Sequences (Mathematics)
Stochastic processes.
QA3 QA273 / .A57 no. 161
510/.8 s 519.2
Almost sure invariance principles for partial sums of weakly dependent random variables / [electronic resource] Walter Philipp and William Stout. - Providence, R.I. : American Mathematical Society, 1975. - 1 online resource (iv, 140 p.) - Memoirs of the American Mathematical Society, v. 161 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 161. .
"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
Mode of access : World Wide Web
9781470405472 (online)
Random variables.
Partial sums (Series)
Sequences (Mathematics)
Stochastic processes.
QA3 QA273 / .A57 no. 161
510/.8 s 519.2