Note on the Law of Large Numbers and "Fair" Games
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Publication:5836159
DOI10.1214/aoms/1177731094zbMath0060.28701OpenAlexW4234880456WikidataQ114846445 ScholiaQ114846445MaRDI QIDQ5836159
Publication date: 1945
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177731094
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A maxtrimmed St. Petersburg game ⋮ Stability of sums of independent random variables ⋮ Winning ``Big in the St. Petersburg game ⋮ Pooling strategies for St. Petersburg gamblers ⋮ Cluster sets of self-normalized sums ⋮ A strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg games ⋮ Unnamed Item ⋮ On the strong law of large numbers for normed weighted sums of I.I.D. random variables ⋮ Marcinkiewicz laws with infinite moments ⋮ On the rate of convergence of the St. Petersburg game ⋮ Large gains in the St. Petersburg game ⋮ Weak and one-sided strong laws for random variables with infinite mean ⋮ On convergence of randomly indexed sequences; a counterexample based on the St.~Petersburg game ⋮ Unnamed Item ⋮ Strong approximation and a central limit theorem for St. Petersburg sums ⋮ Limit Theorems for a Generalized ST Petersburg Game ⋮ Unnamed Item ⋮ Almost sure limit theorems for the St. Petersburg game ⋮ An asymmetric St. Petersburg game with trimming ⋮ On limit theorems for continued fractions ⋮ PROBABILITY AND METRIC DISCREPANCY THEORY ⋮ St. Petersburg Portfolio Games ⋮ Trimmed sums for non-negative, mixing stationary processes. ⋮ Extreme-trimmed St. Petersburg games
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