One-Sided Refinements of the Strong Law of Large Numbers and the Glivenko-Cantelli Theorem

Mathematics

• Almost Sure Convergence 39%
• Converge 41%
• Convergence Properties 30%
• Distribution-free 37%
• Empirical Distribution Function 81%
• Exceed 30%
• Expected Value 67%
• Observation 21%
• Order Statistics 31%
• Partial Sums 67%
• Quantile 32%
• Refinement 57%
• Strong law of large numbers 75%
• Theorem 26%
• Weighted Sums 34%

Business & Economics

• Distribution Function 72%
• Distribution-free 41%
• Empirical Distribution 82%
• Expected Value 66%
• Law of Large numbers 100%
• Order Statistics 47%
• Quantile 34%