Showing papers by "Walter R. Gilks published in 1994"
TL;DR: This work describes some general purpose software that is currently developing for implementing Gibbs sampling: BUGS (Bayesian inference using Gibbs sampling), written in Modula-2 and runs under both DOS and UNIX.
Abstract: Gibbs sampling has enormous potential for analysing complex data sets However, routine use of Gibbs sampling has been hampered by the lack of general purpose software for its implementation Until now all applications have involved writing one-off computer code in low or intermediate level languages such as C or Fortran We describe some general purpose software that we are currently developing for implementing Gibbs sampling: BUGS (Bayesian inference using Gibbs sampling) The BUGS system comprises three components: first, a natural language for specifying complex models; second, an 'expert system' for deciding appropriate methods for obtaining samples required by the Gibbs sampler; third, a sampling module containing numerical routines to perform the sampling S objects are used for data input and output BUGS is written in Modula-2 and runs under both DOS and UNIX
691 citations
201 citations
112 citations
TL;DR: In this paper, the convergence of adaptive direction sampling is studied for a special case of the "snooker" algorithm, for which a powerful irreducibility result can be proved under extremely mild regularity conditions.
59 citations
14 citations
TL;DR: Two methods for estimating AIDS diagnoses in England and Wales from July 1983 to December 1992 are examined, based on conditional likelihood making minimal parametric assumptions and a fully parametric Bayesian approach estimated by Gibbs sampling.
Abstract: The number of acquired immune deficiency syndrome (AIDS) cases reported in England and Wales in the recent past seriously underestimates the number of recent AIDS diagnoses, because of substantial reporting delays. We examine two methods for estimating AIDS diagnoses, taking account of reporting delays. The first is a method based on conditional likelihood making minimal parametric assumptions, with confidence intervals assessed through bootstrapping. The second is a fully parametric Bayesian approach estimated by Gibbs sampling. We apply these methods to AIDS reports in England and Wales from July 1983 to December 1992, and we compare the results.
11 citations
TL;DR: The main aim of the statistical analysis of data collected in the Third International IALSC Workshop on Lung Tumor and Differentiation Antigens, was to identify groups of monoclonal antibodies having similar profiles of reactivity against a variety of cell types in flow cytometry, histology, immunofluorescence and immunocytochemistry experiments through cluster analysis.
Abstract: The main aim of the statistical analysis of data collected in the Third International IALSC Workshop on Lung Tumor and Differentiation Antigens, was to identify groups of monoclonal antibodies (MAbs) having similar profiles of reactivity against a variety of cell types in flow cytometry, histology, immunofluorescence and immunocytochemistry experiments. This was achieved through cluster analysis. We describe the methods used in the cluster analysis, and in the data processing leading to it.
1 citations