Dispersive ordering of convolutions of exponential random variables
β Scribed by Subhash Kochar; Chunsheng Ma
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 71 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
Let X 1 ; : : : ; X n be independent random variables such that X i has exponential distribution with hazard rate i ; i=1; : : : ; n.
( 1; : : : ; n) majorizes ( * 1 ; : : : ; * n ).
π SIMILAR VOLUMES
We obtain some new results on normalized spacings of independent exponential random variables with possibly different scale parameters. It is shown that the density functions of the individual normalized spacings in this case are mixtures of exponential distributions and, as a result, they are log-c
Using the compactness in large deviation theory, this note describes a large deviation upper bound by a lower semicontinuous function. It then obtains a characterization for exponential convergence and discusses exponential convergence rates.