1.

Record Nr.

UNINA9910812518303321

Autore

Philipp Walter <1936->

Titolo

Almost sure invariance principles for partial sums of weakly dependent random variables / / Walter Philipp and William Stout

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1975]

©1975

ISBN

1-4704-0547-4

Descrizione fisica

1 online resource (145 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; volume 2, issue 2, number 161 (July 1975)

Disciplina

510/.8 s

519.2

Soggetti

Random variables

Partial sums (Series)

Sequences (Mathematics)

Stochastic processes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 2, issue 2."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Table of Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Description of the Method""; ""Chapter 3. Lacunary Trigonometric Series with Unweighted Summands""; ""Chapter 4. Stationary Î?-mixing Sequences""; ""Chapter 5. Gaussian Sequences""; ""Chapter 6. Lacunary Trigonometric Series with Weights""; ""Chapter 7. Functions of Strongly Mixing Random Variables""; ""Chapter 8. Nonstationary Mixing Sequences""; ""Chapter 9. A Refinement of the Shannon-McMillan-Breiman Theorem""; ""Chapter 10. Markov Sequences""; ""Chapter 11. Retarded Asymptotic Martingale Difference Sequences""

""Chapter 12. Continuous Parameter Stochastic Processes""""Appendix 1. The Gaal-Koksma Strong Law of Large Numbers""; ""Appendix 2. An Example""; ""References""