28 citations · 45 across the 12 of their papers we have counts for
14 papers
On the Impact of Insurance on Households Susceptible to Random Proportional Losses: An Analysis of Poverty Trapping
Kira Henshaw, Jorge Ramirez, José Miguel Flores-Contró +3
The trapping probability is studied for households' capital assuming that losses are proportional to the accumulated capital. We consider households without insurance and those pur…
Probabilistic Measures for Biological Adaptation and Resilience
Jorge M. Ramirez, Juan M. Restrepo, Valerio Lucarini +1
This paper introduces a novel approach to quantifying ecological resilience in biological systems, particularly focusing on noisy systems responding to episodic disturbances with s…
Homotopy Sampling, with an Application to Particle Filters
Juan M. Restrepo, Jorge M. Ramirez
We propose a homotopy sampling procedure, loosely based on importance sampling. Starting from a known probability distribution, the homotopy procedure generates the unknown normali…
A Mathematical Assessment of the Isolation Tree Method for Outliers Detection in Big Data
Fernando A. Morales, Jorge M. Ramírez, Edgar A. Ramos
In this paper, the mathematical analysis of the Isolation Random Forest Method (IRF Method) for anomaly detection is presented. We show that the IRF space can be endowed with a pro…
An Application of Fractional Differential Equations to Risk Theory
Corina D. Constantinescu, Jorge M. Ramirez, Wei R. Zhu
This paper defines a new class of fractional differential operators alongside a family of random variables whose density functions solve fractional differential equations equipped…
Dynamics of drainage under stochastic rainfall in river networks
Jorge M Ramirez, Corina Constantinescu
We consider a linearized dynamical system modelling the flow rate of water along the rivers and hillslopes of an arbitrary watershed. The system is perturbed by a random rainfall i…