25 citations · 81 across the 31 of their papers we have counts for
36 papers
Poisson approximation by coupling
Rinaldo B. Schinazi
It is well known that a binomial can be approximated by a Poisson distribution with parameter . The typical approach in undergraduate probability texts is to show a con…
How far from the edge need a population be to survive? A probability model
Rinaldo B. Schinazi
Let be a natural number. We consider a population which lives on . Each individual gives birth at rate on each of its neighboring sites and die…
An elementary proof of existence and uniqueness of stationary distributions for irreducible Markov chains
Rinaldo B. Schinazi
Consider an matrix with the following properties. All entries in are positive or , the sum of each row is 1 and for all and in there…
Can a rudderless species survive?
Rinaldo B. Schinazi
Some species of salmon and sea turtle are famously good at finding their birth place to reproduce after having travelled vast expanses of ocean. In contrast, imagine now a species…
Does genetic diversity help survival?
Luiz Renato Fontes, Fabio P. Machado, Rinaldo B. Schinazi
We introduce the following model for the evolution of a population. At every discrete time exactly one individual is introduced in the population and is assigned a death…
Can a single migrant per generation rescue a dying population?
Iddo Ben-Ari, Rinaldo B. Schinazi
We introduce a population model to test the hypothesis that even a single migrant per generation may rescue a dying population. Let be a sequence of real numbers in …