## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 35, Number 1 (1964), 284-297.

### Tables of the Logarithmic Series Distribution

E. Williamson and M. H. Bretherton

#### Abstract

The paper tabulates individual and cumulative terms of the logarithmic series probability distribution using the mean of the distribution as entry argument. The range of the table is $\mu = 1.1 (0.1) 2.0 (0.5) 5.0 (1.0) 10.0$. The tables are prefaced by introductory material, outlining the history and applications of the distribution, deducing generating functions and moments, and giving a method of obtaining the terms of logarithmic series distributions outside the range of those tabled.

#### Article information

**Source**

Ann. Math. Statist., Volume 35, Number 1 (1964), 284-297.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177703751

**Digital Object Identifier**

doi:10.1214/aoms/1177703751

**Mathematical Reviews number (MathSciNet)**

MR158447

**Zentralblatt MATH identifier**

0129.33504

**JSTOR**

links.jstor.org

#### Citation

Williamson, E.; Bretherton, M. H. Tables of the Logarithmic Series Distribution. Ann. Math. Statist. 35 (1964), no. 1, 284--297. doi:10.1214/aoms/1177703751. https://projecteuclid.org/euclid.aoms/1177703751