A note on a generalization of an infinite decomposability result

Author:

Chesneau Christophe1,Palacios José Luis2

Affiliation:

1. LMNO, University of Caen-Normandie, Caen, France

2. Department of Electrical and Computing Engineering, University of New Mexico, Albuquerque, NM, 87131, USA

Publisher

Faculty of Sciences, University of Novi Sad

Subject

General Mathematics

Reference8 articles.

1. Allen, A. O. Probability, statistics, and queueing theory. Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. With computer science applications, Computer Science and Applied Mathematics.497224

2. Bahnemann, D. Distributions for Actuaries. CAS Monograph series, number 2, Casualty Actuarial Society, Arlington, Va., 2015.

3. Hoffmann-Jø rgensen, J. r., Kagan, A. M., Pitt, L. D., and Shepp, L. A. Strong decomposition of random variables. J. Theoret. Probab. 20, 2 (2007), 211–220.

4. Jurek, Z. J. Background driving distribution functions and series representation for log-gamma selfdecomposable random variables. arXiv e-prints (Apr. 2019), arXiv:1904.04160.[ arXiv ]Keywords: Mathematics - Probability, Primary 60E07, 60E10, 60H05, Secondary 60G51, 60B10

5. Lamperti, J. W. Probability, second ed. Wiley Series in Probability and Statistics: Probability and Statistics. John Wiley & Sons, Inc., New York, 1996. A survey of the mathematical theory, A Wiley-Interscience Publication.

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