Extraordinary flood events occurred recently in northwest England, with several severe floods Cumbria, Lancashire and the Manchester area 2004, 2009 2015. These clustered extraordinary ev...

In the past decade, we have seen the development of a new set of tests for structural change of unknown timing in regression models, most notably the SupF statistic of Andrews (1993, Econometrica 61, 825}856), the ExpF and AveF statistics of AndrewsPloberger (1994, Econometrica 62, 1383}1414), and the ̧ statistic of Nyblom (1989, Journal of American Statistical Association 84, 223}230). The dis...

We consider a fluid system composed of multiple buffers in series. The first buffer receives fluid from a finite superposition of independent identical on-off sources. The active and silent periods of sources are exponentially distributed. The ith buffer releases fluid in the (i+1)th buffer. Assuming that the input rate of one source is greater than the service rate of the first buffer, the out...