### Abstract

A finitely additive generalization of Birkhoff s ergodic theorem is obtained which yields, in particular, strong laws of large numbers in the i.i.d. setting aswell as for positive recurrent Markov chains.

Original language | English (US) |
---|---|

Pages (from-to) | 299-305 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 96 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1986 |

### Fingerprint

### Keywords

- Ergodic theorem
- Finitely additive probability
- I.I.D. measure
- Markov chain

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**A finitely additive generalization of birkhoff’s ergodic theorem.** / Ramakrishnan, Subramanian.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - A finitely additive generalization of birkhoff’s ergodic theorem

AU - Ramakrishnan, Subramanian

PY - 1986/1/1

Y1 - 1986/1/1

N2 - A finitely additive generalization of Birkhoff s ergodic theorem is obtained which yields, in particular, strong laws of large numbers in the i.i.d. setting aswell as for positive recurrent Markov chains.

AB - A finitely additive generalization of Birkhoff s ergodic theorem is obtained which yields, in particular, strong laws of large numbers in the i.i.d. setting aswell as for positive recurrent Markov chains.

KW - Ergodic theorem

KW - Finitely additive probability

KW - I.I.D. measure

KW - Markov chain

UR - http://www.scopus.com/inward/record.url?scp=84968507109&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968507109&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1986-0818462-7

DO - 10.1090/S0002-9939-1986-0818462-7

M3 - Article

VL - 96

SP - 299

EP - 305

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -