Table 2 Correlation analysis shows that there is a strong positive correlation between consecutive bets, along with the small mean values and variances of log-ratio between consecutive bets.

From: Online Gambling of Pure Chance: Wager Distribution, Risk Attitude, and Anomalous Diffusion

Dataset τK(bi, bi+1) ρs(bi, bi+1) 〈log10 (bi+1/bi)〉 var(log10 (bi+1/bi)) P(bi = bi+1)
csgofast-Double (A) 0.596 0.737 0.010 0.183 0.342
csgofast-X50 (B) 0.692 0.803 0.007 0.102 0.512
csgofast-Crash (C) 0.858 0.909 0.004 0.038 0.802
ethCrash (D) 0.866 0.949 0.000 0.147 0.549
Coinroll (F) 0.826 0.925 0.000 0.282 0.497
csgospeed-Jackpot (G) 0.522 0.675 0.002 0.288 0.136
csgofast-Jackpot (H) 0.591 0.759 0.002 0.206
  1. Satoshi Dice (E) is excluded here as individual gamblers in the dataset are not distinguishable. csgofast-Jackpot (H) is excluded in the calculation of P(bi = bi+1) due to the low precision of bet values in this dataset.