Abstract
The paper gives a probabilistic proof of the Bailey-Daum theorem. It also provides random walks for certain special cases of the Bailey-Daum distribution and discusses the distribution's moment properties, logconvexity, logconcavity, and infinite divisibility. (C) 2002 Elsevier Science B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 163-168 |
| Number of pages | 6 |
| Journal | Journal of Statistical Planning and Inference |
| Volume | 101 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 15 Feb 2002 |
Keywords
- Bailey-Daum theorem
- Bailey-Daum distribution
- generalized Euler distribution
- random walk
- birth-death process
- infinitely divisible distribution
- infinitely divisible mixture
- logconvexity
- logconcavity
- IFR
- DFR
- strong unimodality
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