Let us first assume that an estimate k; of the queue length at the beginning of the i-th slot is available. In possession of

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Let us first assume that an estimate k; of the queue length at the beginning of the i-th slot is available. In possession of that in- formation the Pseudo-Bayesian Algorithm is such that each node transmits a packet with probability p = min {1, 2} Adaptation Rule # 1: Reduce the estimate k, by one, if idle or success. Think about this result. Why does it make sense? Adaptation Rule # 2: Increase the estimate k, by (e-2)-, if collision. (8) Notice that the first rule is Bayesian, while the second is not. This justifies the name of the algorithm. Homework 5: Justify mathematically why in the presence of a collision we must increase the estimate k by (e-2)-. Hint: Consider that if the estimation is accurate, the average estimation error must be zero.

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