Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...

In this paper, convergence of series and almost sure convergence are established for weighted random variables under a sub-linear expectation space. Our results are very extensive versions which ...

In this paper, the complete convergence and complete 𝑓-moment convergence for arrays of rowwise 𝑚-negatively associated (𝑚-NA, for short) random variables are studied, which generalize and improve ...

In this study, the fractional sine-Gordon model in the time-dependent variable domain using Caputo non-integer order basis derivative is presented. The main purpose is to utilize the adaptation of ...