一个q-修正中心极限定理的注记
Note on a q-modified central limit theorem
摘要：
由Umarov等人提出的中心极限定理的一个q-修正版本确认了q-高斯是某些强相关随机变量的加法和重标度下的吸引子。这个定理的证明依赖于非线性q-修正傅立叶变换。通过展示一个不变性，我们表明，这种傅立叶变换没有逆。因此，该定理未能达到其既定目标。
英文摘要：
A q-modified version of the central limit theorem due to Umarov et al. affirms that q-Gaussians are attractors under addition and rescaling of certain classes of strongly correlated random variables. The proof of this theorem rests on a nonlinear q-modified Fourier transform. By exhibiting an invariance property we show that this Fourier transform does not have an inverse. As a consequence, the theorem falls short of achieving its stated goal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
