| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4617008 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
Suggested by experiments concerning photon statistics, we study two kinds of problems: firstly, we give a complete characterization of the distributions for random sums of i.i.d. Bernoulli variables sharing a suitable stability property.Next, we study the distribution of a multivariate generalization of the univariate random sums and we obtain the explicit distribution of their L1L1 norm in terms of Bernstein polynomials.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Emanuele Casini, Andrea Martinelli,