Hi Tom
It spells out the futility of prediction models
I think it's good to recognise/accept the random model, as then you can better play the game by coming to terms with money management as being the principle key factor of gameplay.
Anti-Martingale styles (adding after a gain/reducing after a loss), which includes buy-and-hold, compares equally with Martingale styles (which includes AIM) over all possible price motion combinations. Both amount to zero-sum games across all possible combinations.
With money management however Martingale's can be mapped to a positive overall game-play by excluding the worse case combination.
A bit like a 2 flip coin-toss game which has possible unique win (1) and lose (0) combinations of 00, 01, 10, 11. If mapped to stocks and investing $x at a $100 initial stock price and another $x invested at a (lower e.g. Martingale style) stock price of $50 then the next downside leg of a $0 stock price will never occur assuming a major index is being played (excepting some extreme condition - and in which case likely money would be valueless anyway other than its potential worth by being burnt for heating purposes).
So the 00 outcome combination never occurs, leaving an overall positive biased gameplay set of 01, 10 and 11 possible cases.
The stock market can be likened to a casino 50/50 like event/payout game, but when correctly money managed can be played in a fashion that has a finite limit as to the maximum losing cases deviance (drawdown).
Having established an overall positive sum gameplay via money management, the next stage is to maximise the gain potential. Which generally involves minimising the risk of a worse case combination event being encountered (loss avoidance).
Taleb, Mandelbrot and others proclaim how real world measures exhibit fat-tailed/power-law like bell curve distributions. The few outer edge events occurring more frequently than might otherwise have been anticipated. Personally however I do not find that to be anything out of the ordinary as the conventional measure assumes a constant central Bell-ring (hanger) point, which in the real world is not a constant.
If you take a bell-curve and move it from side to side (deviate the central point) then the effect is for the edges to become enlarged relative to the overall average central point.
Simple averages aren't sufficient, you have to start considering the average of averages. As in how the prospect of a Dow=4000 price level from a Dow=12000 start point has little bearing when the Dow start price is moved to 8000. From the Dow=8000 price level a Dow=4000 price becomes more probable (Bell curve tails are enlarged).
Best regards.
Clive.