## Binary Hypothesis Testing with Learning of Empirical Distributions

**Title**: Binary Hypothesis Testing with Learning of Empirical Distributions

**Authors**:

Baras, John S.

Raghavan, Aneesh

Raghavan, Aneesh

**Conference**: 24th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2020) IFAC PapersOnline 54-9 (2021) pp. 671-676

Binary hypothesis testing with a single observer is considered. The true distributions of the observations under either hypothesis are unknown. Empirical distributions are estimated from observations. A sequence of detection problems are solved using the sequence of empirical distributions. The convergence of the information state and optimal detection cost under empirical distributions to the information state and optimal detection cost under the true distribution are shown. Simulation results are presented and are consistent with the results mentioned earlier.

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