We consider the fundamental problem of matching a template to signal. do so by M-estimation, which encompasses procedures that are robust gross errors (i.e., outliers). Using standard results from empirical process theory, we derive convergence rate and asymptotic distribution M-estimator under relatively mild assumptions. also discuss optimality estimator, both in finite samples minimax sense ...

Abstract We are interested in estimating the location of what we call “smooth change-point” from n independent observations an inhomogeneous Poisson process. The smooth change-point is a transition intensity function process one level to another which happens smoothly, but over such small interval, that its length $$\delta _n$$ <mml:msub...

The process personnel always seek the opportunity to improve the processes. One of the essential steps for process improvement is to quickly recognize the starting time or the change point of a process disturbance. Different from the traditional normally distributed assumption for a process, this study considers a process which follows a gamma process. In addition, we consider the possibility o...