{"title":"便携式伪随机数发生器的多维均匀性","authors":"W. J. Reid, J. Komo","doi":"10.1109/SSST.1990.138110","DOIUrl":null,"url":null,"abstract":"Multipliers used with portable multiplicative pseudorandom number generators for 16-b computers are considered. Certain multipliers that are able to produce uniform random variables with good one-dimensional statistical properties have already been found. The tests implemented were the chi-square goodness-of-fit test and the Kolmogorov-Smirnov and modified Kolmogorov-Smirnov tests. These tests have been adapted for the multidimensional case in order for statistical tests to be performed on two- and three-dimensional uniform random vectors generated by these same multipliers. These tests show statistical independence between samples, as well as uniformity.<<ETX>>","PeriodicalId":201543,"journal":{"name":"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Multi-dimensional uniformity of portable pseudo-random number generators\",\"authors\":\"W. J. Reid, J. Komo\",\"doi\":\"10.1109/SSST.1990.138110\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Multipliers used with portable multiplicative pseudorandom number generators for 16-b computers are considered. Certain multipliers that are able to produce uniform random variables with good one-dimensional statistical properties have already been found. The tests implemented were the chi-square goodness-of-fit test and the Kolmogorov-Smirnov and modified Kolmogorov-Smirnov tests. These tests have been adapted for the multidimensional case in order for statistical tests to be performed on two- and three-dimensional uniform random vectors generated by these same multipliers. These tests show statistical independence between samples, as well as uniformity.<<ETX>>\",\"PeriodicalId\":201543,\"journal\":{\"name\":\"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-03-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSST.1990.138110\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1990.138110","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multi-dimensional uniformity of portable pseudo-random number generators
Multipliers used with portable multiplicative pseudorandom number generators for 16-b computers are considered. Certain multipliers that are able to produce uniform random variables with good one-dimensional statistical properties have already been found. The tests implemented were the chi-square goodness-of-fit test and the Kolmogorov-Smirnov and modified Kolmogorov-Smirnov tests. These tests have been adapted for the multidimensional case in order for statistical tests to be performed on two- and three-dimensional uniform random vectors generated by these same multipliers. These tests show statistical independence between samples, as well as uniformity.<>
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