Quote from Arthur Deco:
Jackoff, what a complete crock of shit. I don't know if YOU ever designed Kalman's, but I have. If you understood them like I do, you'd know that there is NO possible physical model for markets. The markets are like women. They can displace instantly. So you need an infinite number of derivatives to model it. Also, there is NO noise in the markets. It's all signal. Dipshit.
Excellent.
The state vectors would have to contain high order derivatives which are noisy. That is exactly correct. Kalman filters are good for physical dynamics because those can generally be covered by position and its first and sometimes second derivatives velocity and acceleration. Market data contains instantaneous displacements that would require third and fourth derivatives jerk and yank. Those are incredibly noisy and basically unusable.