We consider a homogeneous fragmentation process with killing at an exponential barrier. With the help of two families of martingales we analyse the decay of the largest fragment for parameter values that allow for survival. In this respect the present paper is also concerned with the probability of extinction of the killed process.
|Pages (from-to)||467 - 491|
|Number of pages||25|
|Journal||Annales de l'Institut Henri Poincare B Probabilites et Statistiques|
|Early online date||26 Mar 2014|
|Publication status||Published - May 2014|