Back to Search
Start Over
Negative Moments of Positive Random Variables.
- Source :
-
Journal of the American Statistical Association . Jun72, Vol. 67 Issue 338, p429. 3p. - Publication Year :
- 1972
-
Abstract
- We investigate the problem of finding the expected value of functions of a random variable X of the form f(X) = (X + A)[sup -n] where X + A > 0 a.s. and n is a non-negative integer. The technique is to successively integrate the probability generating function and is suggested by the well-known result that successive differentiation leads to the positive moments. The technique is applied to the problem of finding E[1/(X + A)] for the binomial and Poisson distributions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01621459
- Volume :
- 67
- Issue :
- 338
- Database :
- Academic Search Index
- Journal :
- Journal of the American Statistical Association
- Publication Type :
- Academic Journal
- Accession number :
- 4605057
- Full Text :
- https://doi.org/10.1080/01621459.1972.10482404