论文标题
完成贴纸系列要花多少钱？使用R的模拟研究
How much does it cost to complete a sticker collection? A simulation study using R
论文作者
论文摘要
本文考虑了与优惠券收藏家行为问题有关的一些计算问题。此外，我们提出了一种模拟算法来找到解决该问题的解决方案，在该算法中，我们将其作为数字插图呈现一张与卡塔尔2022官方足球世界杯有关的贴纸专辑，该贴纸正在巴西报摊中出售。在这种情况下，完整的专辑具有n = 670个贴纸，它们在包含n = 5贴纸的包装中出售。该仿真基于R的计算代码。对于我们作为解决方案获得的该应用程序，平均需要950个包装来完成专辑，平均成本为3,800 REALS（巴西货币），假设收藏家没有与任何人交换其任何重复。本文中使用的所有计算机代码均在GitHub上提供。假定的仿真研究对于统计教师可以激励其学生进行计算统计和概率基础上的讲座可能很有用。
This paper considers some computational issues related to the problem of the coupon collector behavior. In addition, we propose a simulation algorithm to find the solution to the problem, where we present as a numerical illustration an album of stickers related to the Qatar 2022 Official Football World Cup, which is being sold in Brazilian newsstands. In this case, the complete album has N = 670 stickers, which are sold in packages containing n = 5 stickers each. The simulation was based on a computational code written in R. For this application we obtained as a solution, an average number of 950 packages needed to complete the album, at an average cost of 3,800 reals (Brazilian currency), assuming that the collector does not exchange any of its repetitions with nobody. All computer code used in this article is provided on GitHub. The assumed simulation study could be useful for statistics teachers to motivate their students for lectures in computational statistics and fundamentals of probability.
