{"title":"非参数检验统计量的符号计算和精确分布","authors":"W. D. Ma, A. D. Bucchianico, P. Laanvander","doi":"10.1111/1467-9884.00208","DOIUrl":null,"url":null,"abstract":"We show how to use computer algebra for computing exact distributions of nonparametric test statistics. We give several examples of nonparametric statistics with explicit probability-generating functions that can be handled this way. In particular, we give a new table of critical values of the Jonckheere–Terpstra test that extends previous tables.","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"1999-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"25","resultStr":"{\"title\":\"Symbolic computation and exact distributions of nonparametric test statistics\",\"authors\":\"W. D. Ma, A. D. Bucchianico, P. Laanvander\",\"doi\":\"10.1111/1467-9884.00208\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show how to use computer algebra for computing exact distributions of nonparametric test statistics. We give several examples of nonparametric statistics with explicit probability-generating functions that can be handled this way. In particular, we give a new table of critical values of the Jonckheere–Terpstra test that extends previous tables.\",\"PeriodicalId\":54524,\"journal\":{\"name\":\"Quantum Information & Computation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"1999-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"25\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum Information & Computation\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1111/1467-9884.00208\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information & Computation","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1111/1467-9884.00208","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
Symbolic computation and exact distributions of nonparametric test statistics
We show how to use computer algebra for computing exact distributions of nonparametric test statistics. We give several examples of nonparametric statistics with explicit probability-generating functions that can be handled this way. In particular, we give a new table of critical values of the Jonckheere–Terpstra test that extends previous tables.
期刊介绍：
Quantum Information & Computation provides a forum for distribution of information in all areas of quantum information processing. Original articles, survey articles, reviews, tutorials, perspectives, and correspondences are all welcome. Computer science, physics and mathematics are covered. Both theory and experiments are included. Illustrative subjects include quantum algorithms, quantum information theory, quantum complexity theory, quantum cryptology, quantum communication and measurements, proposals and experiments on the implementation of quantum computation, communications, and entanglement in all areas of science including ion traps, cavity QED, photons, nuclear magnetic resonance, and solid-state proposals.
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