{ "_id": "6a1ed85bb401979e7340f08e", "Type": "Package", "Package": "XOMultinom", "Title": "Exact Distributions of Some Functions of the Ordered Multinomial\nCounts", "Version": "0.8.7", "Date": "2026-05-28", "Authors@R": "c(\nperson(\"Sergio\", \"Venturini\", , \"sergio.venturini@unicatt.it\", role = c(\"aut\", \"cre\")),\nperson(\"Marco\", \"Bonetti\", , \"marco.bonetti@unibocconi.it\", role = \"ctb\")\n)", "Maintainer": "Sergio Venturini ", "Description": "Implements exact algorithms for computing the\ndistributions of the maximum, the minimum, the range, and the\nsum of the J largest order statistics of a multinomial random\nvector. Two complementary algorithm families are provided: the\nrecursive tree-traversal method of Bonetti, Cirillo, and Ogay\n(2019) , which covers all four\nstatistics under the equiprobable hypothesis; and the\nstochastic matrix method of Corrado (2011)\n, which handles the maximum,\nminimum, and range for arbitrary probability vectors. Functions\nfor power evaluation and sample size determination for\ngoodness-of-fit tests based on these order statistics are also\nprovided. 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