A ‎new ‎approach ‎on‎‎ ‎‎scrambling of the Halton sequence with ‎sampling

Subject Areas : International Journal of Industrial Mathematics

M. H. Behzadi ¹ , علی مقربی استادکلایه ² , بهروز فتحی واجارگاه ³ , رحمان فرنوش ⁴

1 - Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
2 - گروه آمار، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران
3 - گروه آمار، دانشگاه گیلان، رشت ، ایران
4 - گروه ریاضی، دانشگاه علم و صنعت ایران، تهران، ایران

Received: 2022-08-30 Accepted : 2024-08-05 Published : 2024-10-06

Keywords: Halton &lrm, sequence&lrm, , scrambling&lrm, , discrepancy&lrm, , Weyl &lrm, sequence&lrm, , continued &lrm, fraction&lrm, &lrm, , sampling,

Abstract :

Although many scramble methods have been introduced for the Halton sequence‎, ‎not all of them have been widely acclaimed due to their computational complexity and difficult implementation‎. ‎Sampling the Halton sequence is an easy and fast way to achieve a more uniform and‎, ‎of course‎, ‎more efficient sequence‎ of quasirandom numbers.