کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
419375 | 683793 | 2013 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analysis of a generalized Friedman’s urn with multiple drawings
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Analysis of a generalized Friedman’s urn with multiple drawings Analysis of a generalized Friedman’s urn with multiple drawings](/preview/png/419375.png)
چکیده انگلیسی
We study a generalized Friedman’s urn model with multiple drawings of white and blue balls. After a drawing, the replacement follows a policy of opposite reinforcement. We give the exact expected value and variance of the number of white balls after a number of draws, and determine the structure of the moments. Moreover, we obtain a strong law of large numbers, and a central limit theorem for the number of white balls. Interestingly, the central limit theorem is obtained combinatorially via the method of moments and probabilistically via martingales. We briefly discuss the merits of each approach. The connection to a few other related urn models is briefly sketched.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 161, Issue 18, December 2013, Pages 2968–2984
Journal: Discrete Applied Mathematics - Volume 161, Issue 18, December 2013, Pages 2968–2984
نویسندگان
Markus Kuba, Hosam Mahmoud, Alois Panholzer,