The Gamma Distribution as a Mixture of Exponential Distributions
β Scribed by Leon Jay Gleser
- Book ID
- 111862619
- Publisher
- American Statistical Association
- Year
- 1989
- Tongue
- English
- Weight
- 544 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0003-1305
- DOI
- 10.2307/2684515
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Mixtures of exponential distributions are treated as the Laplace transforms of mixing distributions. Using results on stochastic orders based on the Laplace transform order relations for the mixtures are derived. Preservation of some stochastic orders under the mixtures is studied.
## Abstract A central problem in inventory control concerns the statistical description of total demand during the lead time between placement and receipt of an order. Since both the demand per unit time and the lead time are random variables, the distribution of lead time demand is formulated as a