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In this paper, a mathematical model of signaling system seven (SS7) reliability over packet transmission system is developed. The error control model is presented and the SS7 events, states and probabilities are also explained. An expression is derived for all modeled probabilities using transition probability matrix. The reliability parameters are calculated with respect to the derived probabilities of the model and results are critically analyzed and presented for the same.fatcat:fdr5pg5oyrarzegjb2mjk7jh7u