Abstract
The results in Chapter 5 have many spin-off effects that concern the full class ℐ. These are the focus of this chapter. In Section 6.1 real characterizations of some transforms are given in terms of hyperbolic complete monotonicity (HCM) and then, in Section 6.2, the fruit of this work is harvested. It is shown that ℐ also has several multiplicative properties. Moreover, the effect of certain transformations of rv’s with distributions in ℐ is studied. In Section 6.3 essentially some large subclasses of ℐ are considered. A short summary of Chapters 5 and 6 is given in Section 6.4, and an attempt is made to widen the perspective.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Bondesson, L. (1992). Back to ℐ. In: Generalized Gamma Convolutions and Related Classes of Distributions and Densities. Lecture Notes in Statistics, vol 76. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2948-3_6
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2948-3_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97866-6
Online ISBN: 978-1-4612-2948-3
eBook Packages: Springer Book Archive