From observed bid and ask prices of European call and put options we estimate the risk neutral density of a stock at some future time $t0$. We restrict attention to a class of densities with heavy tails and use a Bayesian formulation in order to study the variation in the distributions fitting...

The large deviation modified likelihood ratio statistic is studied for testing a variance component equal to a specified value. Formulas are presented in the general balanced case, whereas in the unbalanced case only the one-way random effects model is studied. Simulation studies are presented,...

We prove a theorem of de Finetti-type involving the pure birth of Yule process. The proof illustrates the usefulness of recently developed weak convergence criteria for point processes as well as uniform saddlepoint approximations. We also derive a stochastic intensity for the conditional...