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In Australia, the so-called Group of Eight (Go8) universities have lower student-to-staff ratios, better qualified staff, superior research outcomes, and generally better placement in university rankings compared to non-Go8 universities. They are also typically the most competitive universities...
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The aim here is to show how to obtain many of the well-known limit results (i.e., central limit theorem, law of the iterated logarithm, invariance principle) of stochastic approximation (SA) by a shorter argument and under weaker conditions. The idea is to introduce an artificial sequence,...
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In this work we derive the usual limit laws (weak and strong convergence, central limit theorem, invariance principle) for stochastic approximation with stationary noise. The idea is to introduce an artificial sequence, related to the SA scheme, but which clearly obeys the desired limit law....
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