On perpetuities related to the size-biased distributions
Aleksander M. Iksanov
Abstract
We study perpetuities of a special type related to the size-biased distributions. Necessary and sufficient conditions of their existence and uniqueness are obtained. A crucial point in proving all results is a close connection between perpetuities treated in the paper and fixed points of so-called Poisson shot noise transforms.
Create a lesson
Related papers
Boolean Small-Ball Inequalities for Discrepancy Theory
Emrullah Akbas, Suvrit Sra
Markovian renormalisation for percolation in high-dimension: Semi-decidability of mean field behavior
Arthur Blanc-Renaudie
Point process convergence of large inradii of Poisson-Laguerre tessellations
Matthias Schulte, Martina Švarc Petráková
Interpolation of Gaussian Free Fields via Random Matrices
Gabriel Raposo
Almost-Uniform Bayesian Convergence to the Truth Is Not Characterized by Countable Additivity on Conditional Hitting Times
M. Ali Khan, Arthur Paul Pedersen, Maxwell B. Stinchcombe
The skeleton-blocks decomposition of Bienaymé trees, and applications to their local convergence
Marc Bernard, Robin Stephenson