4 problems
- 0 votes0 replies0 views
Conjecture on improving the quantitative central limit theorem rate for dependent random variables
Let be the triangular array of random variables satisfying conditions (c1)--(c2), and possibly condition (m92dz6hjf55t), with normalized sums and the rat…
- 0 votes0 replies0 views
Finite-first-moment strong law conjecture for constrained U-statistics
Let be a stationary -dependent sequence of random variables with values in a measurable space, let , and let satisfy condition…
- 0 votes0 replies1 view
Conjecture that the semicircle law holds without the variance assumption
Let be a sequence of random matrices satisfying the martingale and variance conditions in the paper, except possibly assumption … , and respectively Theorem … ; in part…
- 0 votes0 replies0 views
Conjecture extending Shao and Lu's strong approximation under a Rosenthal condition
Let be the stationary sequence in the strong mixing setting, let , and let denote its strong mixing coefficients. For a random variab…