On generalized unimodality
Author:
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics
- Vol. 3 (6) , 567-580
Abstract
Relationship between α-unimodality of 01shen and Savage and a concept of generalized unimodality is studied. It is shown that all multivariate stable distributions are generalized unimodal and the convolution of two multivariate symmetric generalized unimodal distributions is symmetric and generalized unimodal.Keywords
This publication has 4 references indexed in Scilit:
- A generalized unimodalityJournal of Applied Probability, 1970
- On the Composition of Unimodal DistributionsTheory of Probability & Its Applications, 1956
- The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalitiesProceedings of the American Mathematical Society, 1955
- Some Theorems on Distribution FunctionsJournal of the London Mathematical Society, 1936