Hi CV, thanks for your reply.
Yes CV, but the process looks a lot more complex taking into consideration the number of trades. I thought a better idea would be to plot the "n day ROC of the equity curve" and use this data for further statistics, rather than taking "per trade profitability of the system" which is generally used.
I have jotted down a blue print as to how I should proceed in the following steps. Please say if the following method looks acceptable, CV:
1) Determine "n" period %return of system equity curve for "y" samples.
2) Determine "n" period %return of market index buy-hold (or buy-hold of stock, which ever is used as the standard for determining out performance) for "y" samples.
3) Subtract 1 - 2 and log its value (Since log is only for positive values, sign adjustment can be done after finding absolute log value)
4) Find mean and standard error of 3.
5) Subtract mean from each value of 3.
6) Sort 5 ascending order so that it is mean adjusted, and represents a log normal distribution.
7) Determine the probability of the system being greater than "- mean" using z test.
8) Repeat this process for "x" number of data sets.
9) Find average probability of system returns out performing standard.
10) Accept if probability is greater than expected figure.
Oxy, I am a bit confused with the detrending system returns, benchmark part.One problem with the mean you describe is the compounding issue, correct?
Also isnt sample size the no. of trades you generate and not the testing data?
Also isnt sample size the no. of trades you generate and not the testing data?
I have jotted down a blue print as to how I should proceed in the following steps. Please say if the following method looks acceptable, CV:
1) Determine "n" period %return of system equity curve for "y" samples.
2) Determine "n" period %return of market index buy-hold (or buy-hold of stock, which ever is used as the standard for determining out performance) for "y" samples.
3) Subtract 1 - 2 and log its value (Since log is only for positive values, sign adjustment can be done after finding absolute log value)
4) Find mean and standard error of 3.
5) Subtract mean from each value of 3.
6) Sort 5 ascending order so that it is mean adjusted, and represents a log normal distribution.
7) Determine the probability of the system being greater than "- mean" using z test.
8) Repeat this process for "x" number of data sets.
9) Find average probability of system returns out performing standard.
10) Accept if probability is greater than expected figure.
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