Quote from blox87:
A stationary distribution is a specific entity which is unchanged by the effect of some matrix or operator: it need not be unique.
So basically anyone that has any kind of variable in their entries are doomed . Is that what you are saying?
What about slippage?
What is your trading system based on?
All reasonable trading strategies, when you strip them down, have an underlying distribution that you bet on.
Let me give you an example. Let's assume that I have a RTM strategy.
I compute a spread between security A and B and when the spread is larger than some threshold I take a short position.
The underlying distribution of my trading strategy is the distribution of the spread.
If the distribution of the spread isn't stationary, my strategy will fail.
A distribution is stationary when its parameters (mean, std, ..) remain constant in time.
(In this particuliar example there are also other required properties of the distribution to guarantee a positive expectancy betting strategy).
Ninna