On the Convergence of Sequences of Moment Generating Functions
نویسندگان
چکیده
منابع مشابه
On generating functions of Hausdorff moment sequences
The class of generating functions for completely monotone sequences (moments of finite positive measures on [0, 1]) has an elegant characterization as the class of Pick functions analytic and positive on (−∞, 1). We establish this and another such characterization and develop a variety of consequences. In particular, we characterize generating functions for moments of convex and concave probabi...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1947
ISSN: 0003-4851
DOI: 10.1214/aoms/1177730492