The Maximum Likelihood Estimates of Multinomial Parameters Subject to Stochastic Order with Equality

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dc.contributor.author張少同zh_tw
dc.contributor.author呂小娟zh_tw
dc.contributor.authorShao-Tung Chang and Hsiao-Chuan Luen_US
dc.date.accessioned2020-09-03T06:26:45Z
dc.date.available2020-09-03T06:26:45Z
dc.date.issued1999-10-??
dc.description.abstract長久以來，有關隨機序的估計問題一直被廣泛的討論與應用，然而在許多實際的應用上，我們發現兩組多項式分配的參數p和q除了隨機之外，可能還有其他的關係，例如相等、相差一個常數，或是成倍數關係。我們對參數了解愈多，愈能夠得到更精確的估計，因而在文章中，我們仿效Barlow及Brunk（1972）的方法推得在隨機序與部分等式條件下，多項式參數的最大概似估計。我們依單樣本和雙樣本分別討論並提供應用實例，此外我們也探討估計的一致性問題。zh_tw
dc.description.abstractThe problems of maximum likelihood estimates of multinomial parameters subject to stochastic ordering have been widely discussed. However, in some applications, the multinomial parameters p and q may not only satisfy the stochastically ordered constraints but also the equality of some of these parameters. We follow Barlow and Brunk's method (1972) and obtain the Fenchel duality projection-type maximum likelihood estimates of multinomial parameters under this modified hypothesis for both one-sample and two-sample problems. The consistency of the estimates is proved and. an example is also presented as an illustration.en_US
dc.identifierE4688E89-BF04-5C7D-D13E-E80E7EC36F0A
dc.identifier.urihttp://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/109309
dc.language英文
dc.publisher國立臺灣師範大學研究發展處zh_tw
dc.publisherOffice of Research and Developmenten_US
dc.relation44(1&2)，1-9
dc.relation.ispartof師大學報：數理與科技類zh_tw
dc.subject.other多項式參數zh_tw
dc.subject.other最大概似估計zh_tw
dc.subject.other隨機序zh_tw
dc.subject.other最小平方投影zh_tw
dc.subject.otherMultinomial parametersen_US
dc.subject.otherMaximum likelihood estimateen_US
dc.subject.otherStochastic orderingen_US
dc.subject.otherLeast square projectionen_US
dc.titleThe Maximum Likelihood Estimates of Multinomial Parameters Subject to Stochastic Order with Equalityzh-tw
dc.title.alternative有等式隨機序的最大概似估計zh_tw

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