Abstract
This paper offers a new proof that the principal Lambert W-function W(s) is a Bernstein function. The proof derives from a known integral evaluation and leads to a more detailed description of W(s) as a Thorin–Bernstein function with a real-variable description of the Thorin measure, and refinements of some known properties of the Lambert distribution.
Original language | English |
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Pages (from-to) | 53-60 |
Number of pages | 8 |
Journal | Statistics and Probability Letters |
Volume | 139 |
DOIs | |
Publication status | Published - 1 Aug 2018 |