تقرير
Foundations of abstract probability theory
| العنوان: | Foundations of abstract probability theory |
|---|---|
| المؤلفون: | Yurchenko, Yurii |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, 60A05, 60A10 |
| الوصف: | Using the ideas of abstract algebra, we introduce the basic concepts of abstract probability theory that generalize the Kolmogorov's probability theory, possibility theory and other theories that deal with uncertainty. Based on abstract addition and multiplication, we define an abstract measure and abstract Lebesgue integral. System of Kolmogorov's axioms is criticized, after which we introduce an abstract probability measure and abstract conditional probability, show that they have recognizable probability properties. In addition, we define an abstract expected value operator as the abstract Lebesgue integral and prove its properties. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2110.02009 |
| رقم الأكسشن: | edsarx.2110.02009 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |