BibTex RIS Kaynak Göster

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

Yıl 2018, Cilt: 22 Sayı: 2, 443 - 457, 15.08.2018

Öz

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.

Kaynakça

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Toplam 36 adet kaynakça vardır.

Ayrıntılar

Bölüm Makaleler
Yazarlar

Buğra Kaan Tiryaki

Orhan Kesemen

Yayımlanma Tarihi 15 Ağustos 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 22 Sayı: 2

Kaynak Göster

APA Tiryaki, B. K., & Kesemen, O. (2018). Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(2), 443-457.
AMA Tiryaki BK, Kesemen O. Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area. SDÜ Fen Bil Enst Der. Ağustos 2018;22(2):443-457.
Chicago Tiryaki, Buğra Kaan, ve Orhan Kesemen. “Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, sy. 2 (Ağustos 2018): 443-57.
EndNote Tiryaki BK, Kesemen O (01 Ağustos 2018) Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 2 443–457.
IEEE B. K. Tiryaki ve O. Kesemen, “Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area”, SDÜ Fen Bil Enst Der, c. 22, sy. 2, ss. 443–457, 2018.
ISNAD Tiryaki, Buğra Kaan - Kesemen, Orhan. “Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/2 (Ağustos 2018), 443-457.
JAMA Tiryaki BK, Kesemen O. Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area. SDÜ Fen Bil Enst Der. 2018;22:443–457.
MLA Tiryaki, Buğra Kaan ve Orhan Kesemen. “Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 22, sy. 2, 2018, ss. 443-57.
Vancouver Tiryaki BK, Kesemen O. Non-Uniform Random Number Generation from Arbitrary Bivariate Distribution in Polygonal Area. SDÜ Fen Bil Enst Der. 2018;22(2):443-57.

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