A Probability Model of a Pyramid Scheme
- 1 May 1977
- journal article
- research article
- Published by Taylor & Francis in The American Statistician
- Vol. 31 (2) , 79-82
- https://doi.org/10.1080/00031305.1977.10479200
Abstract
Periodically, the pyramid or “chain letter” scheme is offered to Americans under the guise of a business dealership. Recently, the FTC ordered Glen Turner's “Dare to be Great” firm to repay 44 million dollars to participants. In order to demonstrate that the potential gains are misrepresented by promoters, a probability model of the pyramid scheme is developed. The major implications are that the vast majority of participants have less than a ten percent chance of recouping their initial investment when a small profit is achieved as soon as they recruit three people and that, on the average, half of the participants will recruit no one else and lose all their money.Keywords
This publication has 2 references indexed in Scilit:
- The Poisson Approximation to the Poisson Binomial DistributionThe Annals of Mathematical Statistics, 1960
- On the Distribution of the Number of Successes in Independent TrialsThe Annals of Mathematical Statistics, 1956