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Products of independent identically distributed random stochastic 2 × 2 matrices are known to converge in distribution under a trivial condition. Rates for this convergence are estimated in terms of the minimal L p -metrics and the Kolmogoroff metric and applications to convergence rates of related interval splitting procedures are discussed.doi:10.1017/s0021900200018970 fatcat:bxahbaipfjgejnplc3cyemthou