We prove that Linnik distributions are geometrically infinitely divisible, and clarify a characterization theorem for Linnik distributions concerning the stability of geometric summation. An explicit expression for absolute moments of Linnik distributions is also given.
β¦ LIBER β¦
A note on the FRPDF distribution
β Scribed by Saralees Nadarajah
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 174 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
β¦ Synopsis
The paper by Varghese et al. [Varghese P, Braswell RN, Wang B, Zhang C. Statistical tolerance analysis using FRPDF and numerical convolution. Computer Aided Design 1996;28:723-32] provided a novel approach for statistical tolerance analysis. This required convolution of the FRPDF distribution and the paper pursued a numerical approach for this. Here, it is shown that one can derive elementary closed form expressions for the convolution and that the numerical approach can be avoided.
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