Abstract
The gamma and uniform laws have been characterized by relating their moment sequences to the moments of the corresponding renewal forward recurrence time laws. Here this work is re-examined in a more general distributional setting, exposing its fundamental relation to length-biasing, and obtaining various generalizations.
| Original language | English |
|---|---|
| Pages (from-to) | 2975-2992 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 33 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2004 |