The paper is concerned with the Bayesian analysis of point processes which are observed with noise. It is shown how to produce exact samples from the posterior distribution of the unobserved true point pattern given a noisy observation. The algorithm is a perfect simulation method which applies dominated Coupling From The Past (CFTP) to a spatial birth-and-death process. Dominated CFTP is made ...

We introduce a new method of Bayesian wavelet shrinkage for reconstructing a signal when we observe a noisy version. Rather than making the usual assumption that the wavelet coefficients of the signal are independent, we allow for the possibility that they are locally correlated in both location (time) and scale (frequency). This leads us to a prior structure which is, unfortunately, analytical...

This paper studies the implementation of the coupling from the past (CFTP) method of Propp and Wilson (1996) in the setup of two and three component mixtures with known components. We show that monotonic-ity structures can be exhibited in both cases, but that CFTP can still be costly for three component mixtures. We conclude with a simulation experiment exhibiting an almost perfect sampling sch...

We study the generation of uniformly distributed linear extensions using Markov chains. In particular we show that monotone coupling from the past can be applied in the case of linear extensions of two-dimensional orders. For width two orders a mixing rate of O(n 3 log n) is proved. We conjecture that this is the mixing rate in the general case and support the conjecture by empirical data. On t...

Simulation plays an important r^ ole in stochastic geometry and related elds, because all but the simplest random set models tend to be intractable to analysis. Many simulation algorithms deliver (approximate) samples of such random set models, for example by simulating the equilibrium distribution of a Markov chain such as a spatial birth-and-death process. The samples usually fail to be exact...

Introduction: Optimal child development necessitates proper nutrition in childhood. Despite of improvements in child nutrition, there are still lots of challenges in proper child nutrition which shows the necessity of using the Past experiences more than ever. Despite of particular interest of Iranians to cardinal humors (temperaments), unfortunately, families and medical staffs are not appropr...