Record linkage is the procedure of bringing together information from two or more records that are believed to belong to the same entity. The linking of a pair of records without identifier should be based on attributes both records have in common. The probabilistic framework described by Fellegi and Sunter (1969) can be used for record linkage. This record linkage framework classifies pairs of records as links, non-links or possible links based on a comparison of the attributes found in both records. In this thesis, the framework is studied and methods to estimate the parameters of the framework. The framework is applied to link privacy preserved police and hospital road accident records. The linkage of these data sources is of great interest in the field of road safety research.