## Journal of the Mathematical Society of Japan

- J. Math. Soc. Japan
- Volume 37, Number 2 (1985), 197-205.

### A limit theorem for sums of random number of i.i.d. random variables and its application to occupation times of Markov chains

#### Article information

**Source**

J. Math. Soc. Japan, Volume 37, Number 2 (1985), 197-205.

**Dates**

First available in Project Euclid: 27 December 2008

**Permanent link to this document**

https://projecteuclid.org/euclid.jmsj/1230395616

**Digital Object Identifier**

doi:10.2969/jmsj/03720197

**Mathematical Reviews number (MathSciNet)**

MR0780659

**Zentralblatt MATH identifier**

0568.60039

**Subjects**

Primary: 60F05: Central limit and other weak theorems

Secondary: 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)

#### Citation

KASAHARA, Yuji. A limit theorem for sums of random number of i.i.d. random variables and its application to occupation times of Markov chains. J. Math. Soc. Japan 37 (1985), no. 2, 197--205. doi:10.2969/jmsj/03720197. https://projecteuclid.org/euclid.jmsj/1230395616