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multi-taper methods aim to recover the spectral density of aÌýpoint process by weighting the data with different masks and then performing an average that reduces variance. I'll present performance bounds for one central example of those methods: Thomson's spectralÌýestimator. The estimates allow us to quantify the trade-off between bias and variance reduction. The key element of the analysis is thedescription of the aggregated profile of the data tapers. I'll discussÌýother applications of these methods in time-frequency analysis andÌýdeterminantal point processes. ÌýThis is joint work with Luis Daniel Abreu - Acoustics Research Institute,ÌýAustrian Academy of Sciences.