4 papers
Energy Detection for Cognitive Radio with Distributional Uncertainty and Signal Variety under Nonlinear Expectation Theory
Jialiang Fu, Wen-Xuan Lang
Classical energy detection (ED) methods for cognitive radio (CR) have addressed noise uncertainty as deviations in noise power and signal uncertainty as variability in signal chara…
A Law of Large Numbers with Convergence Rate based on Nonlinear Expectation Theory and Its Application to Communication Detection
Jialiang Fu, Wen-Xuan Lang
In this paper, we establish a new law of large numbers with the rate of convergence for special partial sums in a probability space. The proof relies on nonlinear expectation theor…
Marcinkiewicz-type laws of large numbers for pseudo-independent random variables under sublinear expectations
Jialiang Fu
As a kind of independence of random variables under sublinear expectations, pseudo-independence is weaker than Peng's independence. We shall give Marcinkiewicz-type weak and strong…
Strong laws of large numbers for sequences of blockwise -dependent and orthogonal random variables under sublinear expectations
Jialiang Fu
In this paper, we establish some strong laws of large numbers (SLLN) for non-independent random variables under the framework of sublinear expectations. One of our main results is…