in a subclass of the scale-parameter exponential family, we consider the sequential pointestimation of a function of the scale parameter under the loss function given as the sum of the weightedsquared error loss and a linear cost. for a fully sequential sampling scheme, second order expansions areobtained for the expected sample size as well as for the regret of the procedure. the former resear...

This paper analyzes the stationary behavior of the TCP congestion window performing ideal congestion avoidance when the packet loss probability is not constant, but varies as a function of the window size. By neglecting the detailed window behavior during fast recovery, we are able to derive a Markov process that is then approximated by a continuous-time, continuous state-space process. The sta...

Standard numerical optimization approaches require several restrictions. So do exact optimization methods such as the Linear Programming approach appeal for linearity and Nelder-Mead for unimodality of the loss function. One method to relax these assumptions is the Simulated Annealing approach, which reduces the risk of getting trapped in a local optimum. However, the standard implementation st...