{"title":"关于Cartwright余弦幂圆形分布CPC——一些分布性质和表征","authors":"M. Shakil, M. Ahsanullah, K. Golam","doi":"10.12785/IJCTS/060109","DOIUrl":null,"url":null,"abstract":"For modelling the directional spectra of ocean waves, Cartwright introduced a power-of-cosine circular distribution, (cf. Cartwright, D. E. (1963), “The use of directional spectra in studying the output of a wave recorder on a moving ship, In Ocean Wave Spectra”, pages 203—218, Prentice Hall, New Jersey). Some distributional properties of the Cartwright’s power-of-cosine circular distribution will be discussed in this paper. Based on these properties, some characterizations of this distribution will be given using the truncated moment, order statistics and record values.","PeriodicalId":373764,"journal":{"name":"International Journal of Computational and Theoretical Statistics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Cartwright Power-of-Cosine Circular Distribution CPC- Some Distributional Properties and Characterizations\",\"authors\":\"M. Shakil, M. Ahsanullah, K. Golam\",\"doi\":\"10.12785/IJCTS/060109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For modelling the directional spectra of ocean waves, Cartwright introduced a power-of-cosine circular distribution, (cf. Cartwright, D. E. (1963), “The use of directional spectra in studying the output of a wave recorder on a moving ship, In Ocean Wave Spectra”, pages 203—218, Prentice Hall, New Jersey). Some distributional properties of the Cartwright’s power-of-cosine circular distribution will be discussed in this paper. Based on these properties, some characterizations of this distribution will be given using the truncated moment, order statistics and record values.\",\"PeriodicalId\":373764,\"journal\":{\"name\":\"International Journal of Computational and Theoretical Statistics\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Computational and Theoretical Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12785/IJCTS/060109\",\"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 Computational and Theoretical Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12785/IJCTS/060109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Cartwright Power-of-Cosine Circular Distribution CPC- Some Distributional Properties and Characterizations
For modelling the directional spectra of ocean waves, Cartwright introduced a power-of-cosine circular distribution, (cf. Cartwright, D. E. (1963), “The use of directional spectra in studying the output of a wave recorder on a moving ship, In Ocean Wave Spectra”, pages 203—218, Prentice Hall, New Jersey). Some distributional properties of the Cartwright’s power-of-cosine circular distribution will be discussed in this paper. Based on these properties, some characterizations of this distribution will be given using the truncated moment, order statistics and record values.