Discretization and MCMC Convergence Assessment
Christian P. Robert
Des. 2012 · Lecture Notes in Statistics Boek 135 · Springer Science & Business Media
E-boek
192
Bladsye
reportGraderings en resensies word nie geverifieer nie. Kom meer te wete
Meer oor hierdie e-boek
The exponential increase in the use of MCMC methods and the corre sponding applications in domains of even higher complexity have caused a growing concern about the available convergence assessment methods and the realization that some of these methods were not reliable enough for all-purpose analyses. Some researchers have mainly focussed on the con vergence to stationarity and the estimation of rates of convergence, in rela tion with the eigenvalues of the transition kernel. This monograph adopts a different perspective by developing (supposedly) practical devices to assess the mixing behaviour of the chain under study and, more particularly, it proposes methods based on finite (state space) Markov chains which are obtained either through a discretization of the original Markov chain or through a duality principle relating a continuous state space Markov chain to another finite Markov chain, as in missing data or latent variable models. The motivation for the choice of finite state spaces is that, although the resulting control is cruder, in the sense that it can often monitor con vergence for the discretized version alone, it is also much stricter than alternative methods, since the tools available for finite Markov chains are universal and the resulting transition matrix can be estimated more accu rately. Moreover, while some setups impose a fixed finite state space, other allow for possible refinements in the discretization level and for consecutive improvements in the convergence monitoring.
Gradeer hierdie e-boek
Sê vir ons wat jy dink.
Lees inligting
Slimfone en tablette
Installeer die Google Play Boeke-app vir Android en iPad/iPhone. Dit sinkroniseer outomaties met jou rekening en maak dit vir jou moontlik om aanlyn of vanlyn te lees waar jy ook al is.
Skootrekenaars en rekenaars
Jy kan jou rekenaar se webblaaier gebruik om na oudioboeke wat jy op Google Play gekoop het, te luister.
E-lesers en ander toestelle
Om op e-inktoestelle soos Kobo-e-lesers te lees, moet jy ’n lêer aflaai en dit na jou toestel toe oordra. Volg die gedetailleerde hulpsentrumaanwysings om die lêers na ondersteunde e-lesers toe oor te dra.
