A Method of Generating Random Vectors with a Given Probability Density Function


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Abstract

We propose a method for generating random independent vectors that have a given continuous distribution density with compact support. The main advantage of the proposed method are guaranteed estimates of the error in the generation of random vectors. We show an illustrative experimental comparison of the proposed method with the Metropolis-Hastings algorithm.

About the authors

B. S. Darkhovsky

Institute for Systems Analysis

Author for correspondence.
Email: darbor2004@mail.ru
Russian Federation, Moscow

Yu. S. Popkov

Institute for Systems Analysis; Braude College of Haifa University

Email: darbor2004@mail.ru
Russian Federation, Moscow; Karmiel

A. Yu. Popkov

Institute for Systems Analysis; Peoples’ Friendship University (RUDN University)

Email: darbor2004@mail.ru
Russian Federation, Moscow; Moscow

A. S. Aliev

Institute for Systems Analysis

Email: darbor2004@mail.ru
Russian Federation, Moscow

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