@article{browning_2003, title={Pedigree data analysis with crossover interference}, volume={164}, number={4}, journal={Genetics}, author={Browning, S.}, year={2003}, pages={1561–1566} } @article{browning_browning_2002, title={On reducing the statespace of hidden Markov models for the identity by descent process}, volume={62}, ISSN={["0040-5809"]}, DOI={10.1006/tpbi.2002.1583}, abstractNote={Important methods for calculating likelihoods of genealogical relationships and mapping genes are based on hidden Markov models for the process of identity by descent along chromosomes. The computational time for the algorithms depends critically on the size of the statespace of the hidden Markov model. We describe the maximal grouping together of states of the model to reduce the size of the statespace. This grouping is based on pedigree symmetries. We also present an efficient algorithm for finding the maximal grouping.}, number={1}, journal={THEORETICAL POPULATION BIOLOGY}, author={Browning, S and Browning, BL}, year={2002}, month={Aug}, pages={1–8} } @article{browning_2000, title={A Monte Carlo approach to calculating probabilities for continuous identity by descent data}, volume={37}, ISSN={["0021-9002"]}, DOI={10.1017/S0021900200016041}, abstractNote={Two related individuals are identical by descent at a genetic locus if they share the same gene copy at that locus due to inheritance from a recent common ancestor. We consider idealized continuous identity by descent (IBD) data in which IBD status is known continuously along chromosomes. IBD data contains information about the relationship between the two individuals, and about the underlying crossover processes. We present a Monte Carlo method for calculating probabilities for IBD data. The method is not restricted to Haldane's Poisson process model of crossing-over but may be used with other models including the chi-square, Kosambi renewal and Sturt models. Results of a simulation study demonstrate that IBD data can be used to distinguish between alternative models for the crossover process.}, number={3}, journal={JOURNAL OF APPLIED PROBABILITY}, author={Browning, S}, year={2000}, month={Sep}, pages={850–864} }