Abstract
The paper gives existence conditions for the generalized Euler family of distributions and relates these to distributions already in the literature. The logconvexity, logconcavity, failure rate, infinite divisibility, strong unimodality, and over and under-dispersion properties are examined using the methods of Gupta et al. (J. Statist Plann. Inference 65 (1997) 225). (C) 2002 Elsevier Science B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 169-178 |
| Number of pages | 10 |
| Journal | Journal of Statistical Planning and Inference |
| Volume | 101 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 15 Feb 2002 |
Keywords
- Euler distribution
- Heine distribution
- inverse absorption distribution
- q-binomial distribution
- logconvexity
- logconcavity
- IFR
- DFR
- infinite divisibility
- strong unimodality
- overdispersion
- underdispersion
- MODELS
- HEINE