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On simulation of normal records
Authors:A Pakhteev  A Stepanov
Institution:1. Immanuel Kant Baltic Federal University, A. Nevskogo 14, Kaliningrad, Russiamir123i3@gmail.com;3. Immanuel Kant Baltic Federal University, A. Nevskogo 14, Kaliningrad, Russia
Abstract:ABSTRACT

In the present paper, we discuss algorithms of record generation when records are taken from a normal population. We propose three new generation algorithms, compare their efficiency and find the most efficient algorithm (Algorithm 2.1). We then compare these algorithms with known generation algorithms presented in the work of Balakrishnan, So, and Zhu (2016 Balakrishnan, N., H. Y. So, and X. J. Zhu. 2016. On Box-Muller transformation and simulation of normal record data. Communication in Statistics – Simulation and Computations 45(10):367082.Taylor & Francis Online], Web of Science ®] Google Scholar]).
Keywords:Elapsed time  Generation techniques  Inverse-transform method  Normal distribution  Records  Rejection method  Variance-covariance matrix
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