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On the Property of Monotonic Convergence for Beta Operators

✍ Scribed by José A. Adell; F. Germán Badı́a; Jesús de la Cal; Fernando Plo

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
329 KB
Volume
84
Category
Article
ISSN
0021-9045

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✦ Synopsis

We show that beta operators satisfy the property of monotonic convergence under convexity. This gives a positive answer to a question recently posed by M. K. Khan. Some additional properties, consequences and applications are also discussed. Throughout this paper, probabilistic methods play a fundamental role.

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