Is there a central limit theorem for power laws?

• المؤلف الرئيسي: Naufaldi Maulana Siregar
• مؤلفون آخرون: Cheong Siew Ann
• التنسيق: Final Year Project
• اللغة: English
• منشور في: Nanyang Technological University 2024
• الموضوعات: Physics; Power laws; Pareto distribution; Central limit theorem; Alpha-stable distribution
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/175709

Power laws can be found in various fields including physics, where its emergence is frequently associated with critical phenomena. Why is the power law so common? Perhaps like the normal distribution, the power law distribution also has its own central limit. In this FYP, we first verify the cent...