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On the effect of inducted negative correlation rate for beta acceptance–rejection algorithms

Moheghi, H ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1080/03610918.2015.1039128
  3. Publisher: Taylor and Francis Inc , 2017
  4. Abstract:
  5. One of the variance reduction methods in simulation experiments is negative correlation induction, and in particular the use of the antithetic variates. The simultaneous use of antithetic variates and an acceptance–rejection method has been studied in some papers, where the inducted negative correlation has been calculated. In this study, the factors affecting the inducted negative correlation rate are addressed. To do this, the beta distribution is first selected to generate negatively correlated random variates using the acceptance–rejection method. The effects of both the efficiency of the acceptance–rejection method and the initial negative correlation rate on the inducted negative correlation are explored. Results show that both factors have significant effects; therefore, a combination of both can lead to algorithms better able to generate negative correlations. © 2017 Taylor & Francis Group, LLC
  6. Keywords:
  7. Acceptance–rejection method ; Beta distribution ; Negative correlation induction ; Communication ; Computer simulation ; Antithetic variates ; Beta distributions ; Correlated random variates ; Negative correlation ; NOCV1 ; Rejection algorithm ; Rejection methods ; Simultaneous use ; Variance reduction methods ; Statistics
  8. Source: Communications in Statistics: Simulation and Computation ; Volume 46, Issue 3 , 2017 , Pages 2152-2167 ; 03610918 (ISSN)
  9. URL: https://www.tandfonline.com/doi/abs/10.1080/03610918.2015.1039128