Marc Suchard and colleagues have worked with parallel computation for a number of years. In the following, they give a characterization of when you can use parallel methods and closely related GPU methods.
Understanding GPU programming for statistical computation: Studies in massively parallel massive mixturesMA Suchard, Q Wang, C Chan, J Frelinger, A Cron, M West
Journal of Computational and Graphical Statistics 19 (2), 419-438
In general you cannot use iterative-fitting-optimization methods because they must make multiple passes over all of the data. Hadoop Map Reduce are also not good for certain search-retrieval algorithms.