Characterizations of distributions via moments of order statistics: A survey and comparison of methods. (English) Zbl 0735.62013
Statistical data analysis and inference, Pap. Int. Conf., Neuchâtel/Switzerl. 1989, 297-307 (1989).
Summary: Recently, many interesting results about the characterizations of distributions using the moments of order statistics have been developed. We review these characteristic properties and compare the useful methods. The counterpart using the moments of record values is also investigated.
[For the entire collection see Zbl 0732.00019.]
[For the entire collection see Zbl 0732.00019.]
MSC:
62E10 | Characterization and structure theory of statistical distributions |
62G30 | Order statistics; empirical distribution functions |