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We prove the asymptotical FDR control and power optimality among all weighted procedures of ADDOW, which shows that it dominates all existing procedures in that framework. Some numerical experiments show that the proposed method preserves its optimal properties in the finite sample setting when the number of tests is moderately large.<\/jats:p>","DOI":"10.1214\/19-ejs1578","type":"journal-article","created":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T22:05:30Z","timestamp":1569362730000},"page":"3336-3385","source":"Crossref","is-referenced-by-count":13,"title":["Adaptive $p$-value weighting with power optimality"],"prefix":"10.1214","volume":"13","author":[{"given":"Guillermo","family":"Durand","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"108","reference":[{"key":"29","doi-asserted-by":"crossref","unstructured":"Schwartzman, A., Dougherty, R. F. and Taylor, J. E. (2005). 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