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 |
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Pages (from-to) | 2975-2992 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 33 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2004 |