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asymptotic property of order statistics and sample quntile
چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولMosaics of combinatorial designs
Abstract. Looking at incidence matrices of t (v, k, λ) designs as v×b matrices with 2 possible entries, each of which indicates incidences of a t -design, we introduce the notion of a c -mosaic of designs, having the same number of points and blocks, as a matrix with c different entries, such that each entry defines incidences of a design. In fact, a v×b matrix is decomposed in c incidence matr...
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Mosaics are orbits of partitions arising from music theoretical investigations. Various theorems from the field of “enumeration under finite group actions” are applied for enumerating mosaics. In other words, it is demonstrated how to enumerate G-orbits of partitions of given size, block-type or stabilizer-type.
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Let G be an abelian group of order k. How is the problem of minimizing the number of sums from a sequence of given length in G related to the problem of minimizing the number of k-sums? In this paper we show that the minimum number of k-sums for a sequence a1, . . . , ar that does not have 0 as a k-sum is attained at the sequence b1, . . . , br−k+1,0, . . . ,0, where b1, . . . , br−k+1 is chose...
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Genetic mosaics can be used to gain insight into the cell specificity of gene function. How Caenorhabditis elegans mosaics are typically generated is reviewed, and several examples with relevance to developmental studies are mentioned. One example is mpk-1, which encodes a member of the Ras-MAP-kinase pathway. mpk-1 mosaics have been a means of studying the distinct cells that require the gene ...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2018
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-018-0049-2