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Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area

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dc.creator TİRYAKİ, Buğra Kaan
dc.creator KESEMEN, Orhan
dc.date 2018-08-15T00:00:00Z
dc.date.accessioned 2019-07-09T11:59:43Z
dc.date.available 2019-07-09T11:59:43Z
dc.identifier http://dergipark.org.tr/sdufenbed/issue/38975/456322
dc.identifier
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/46432
dc.description Bivariate non-uniform random numbers are usually generated in a rectangular area. However, this is generally not useful in practice because the arbitrary area in real-life is not always a rectangular area. Therefore, the arbitrary area in real-life can be defined as a polygonal approach. Non-uniform random numbers are generated from an arbitrary bivariate distribution within a polygonal area by using the rejection and the inversion methods. Three examples are given for non-uniform random number generation from an arbitrary bivariate distribution function in polygonal areas. In these examples, the non-uniform random number generation is discussed in the triangular area, the Korea mainland and the Australia mainland. The non-uniform random numbers are generated in these areas from the arbitrary probability density function. The observed frequency values are calculated with using both methods in the simulation study and the generated random numbers are tested with the chi-square goodness of fit test to determine whether or not they come from the given distribution. Also, both methods are compared each other with a simulation study.
dc.format application/pdf
dc.publisher Süleyman Demirel University
dc.publisher Süleyman Demirel Üniversitesi
dc.relation http://dergipark.org.tr/download/article-file/528915
dc.source Volume: 22, Issue: 2 443-457 en-US
dc.source 1308-6529
dc.subject Bivariate distribution function,Piecewise probability density function; Non-uniform random number generation; Rejection method; Inversion method
dc.title Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area en-US
dc.type info:eu-repo/semantics/article


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