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#2
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A bettor who has an edge should be betting less on longshots than on favorites.* So, instead of looking at ROI for flat $2 bets, it makes more sense to look at ROI for proportional bets. And it turns out that the end result is much more statistically meaningful. (the standard deviation is much smaller when compared to the ROI fig.) Here's a link to something I posted on another forum that gives an example of the difference: http://sharpsportsbetting.com/forums....cgi/read/9760 If you or anyone posts a list of Desormeaux and Lezcano's races (showing odds and if they won), I'll calculate the proportional bet ROI and show how I did it. --Dunbar * Ed Thorp showed years ago that the optimal horseracing bet for bankroll growth is Edge*Bankroll/Odds. If you have a 10% edge and a $1000 bankroll, you should bet 10%*1000/2 = $50 on a 2-1 shot, but 10%*1000/10 = $10 on a 10-1 shot. Some may argue that you do not have the same "edge" on every bet, and that you in fact have a bigger edge on longshots. But given how difficult it is to estimate our edge at all, it's probably safest to assume our edge is roughly the same on every bet.
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Curlin and Hard Spun finish 1,2 in the 2007 BC Classic, demonstrating how competing in all three Triple Crown races ruins a horse for the rest of the year...see avatar photo from REUTERS/Lucas Jackson |
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#3
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The formula that I came up with is similar but more reliant on the individual than the public Bankroll*0.05*(lowestimateHit%squared*lowestimate$ 2payout)/2 You plug it all in a spreadsheet with conditions that say if ($2price*hit%)/2 isn't more than 1.3 or1.2 whatever "value" demand, then zero is listed in betsize. It's not a bad type of thing do work out with bets for a while and develop an intuitive feel of the type of bets you should be making and why, but it's pretty boring. the effect that Thorp gets from using the odds has the same basis as why I choose to square the low estimate of hit%. Hit percentage is very important in keeping "randomness" out. |
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#5
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The idea of betting Edge*Bankroll/Odds that I referred to above is the Kelly Criterion. Wikipedia has a decent description of it: http://en.wikipedia.org/wiki/Kelly_criterion Can't find a Thorp link that's ideal for horseracing. Here's one paper he wrote that covers a lot of Kelly betting, but it's pretty heavy math. http://www.bjmath.com/bjmath/thorp/paper.htm --Dunbar
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Curlin and Hard Spun finish 1,2 in the 2007 BC Classic, demonstrating how competing in all three Triple Crown races ruins a horse for the rest of the year...see avatar photo from REUTERS/Lucas Jackson |
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