{"title":"关于二进制随机多环序列每周期1的个数","authors":"N. Mezhennaya, V. Mikhailov","doi":"10.12732/ijam.v32i5.10","DOIUrl":null,"url":null,"abstract":"A binary random multicyclic sequence is determined by a Boolean function of r variables and r independent binary random cyclic sequences with period lengthsm1, . . . ,mr. We obtain the limit distribution of the number of 1’s per cycle of a multicyclic sequence in the case when the numbers m1, . . . ,mr → ∞ and the number of 1’s for each sequence has its own limit distribution. AMS Subject Classification: 60F05, 94B12, 14G50","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"46 1","pages":"835"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON THE NUMBER OF 1'S PER CYCLE OF A BINARY RANDOM MULTICYCLIC SEQUENCE\",\"authors\":\"N. Mezhennaya, V. Mikhailov\",\"doi\":\"10.12732/ijam.v32i5.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A binary random multicyclic sequence is determined by a Boolean function of r variables and r independent binary random cyclic sequences with period lengthsm1, . . . ,mr. We obtain the limit distribution of the number of 1’s per cycle of a multicyclic sequence in the case when the numbers m1, . . . ,mr → ∞ and the number of 1’s for each sequence has its own limit distribution. AMS Subject Classification: 60F05, 94B12, 14G50\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"46 1\",\"pages\":\"835\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v32i5.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v32i5.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ON THE NUMBER OF 1'S PER CYCLE OF A BINARY RANDOM MULTICYCLIC SEQUENCE
A binary random multicyclic sequence is determined by a Boolean function of r variables and r independent binary random cyclic sequences with period lengthsm1, . . . ,mr. We obtain the limit distribution of the number of 1’s per cycle of a multicyclic sequence in the case when the numbers m1, . . . ,mr → ∞ and the number of 1’s for each sequence has its own limit distribution. AMS Subject Classification: 60F05, 94B12, 14G50
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