Quantitative Finance Stack Exchange is a question and answer site for finance professionals and academics. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I am not familiar with the concept of entropy for time series. I am looking for good reference papers and examples of use.

share|improve this question
up vote 14 down vote accepted

As a good starting point read this recent paper by Jing Chen:

For a special use of the entropy concept for forecasting the '87-crash read this paper:
(Although I tried to contact the authors to get the data to reproduce their findings, which they didn't send, it is still an enlightening read)

For a more popular exposition of the use of entropy in money management (key word 'Kelly formula') you should read this intelligent page turner by Poundstone: Fortunes Formula

EDIT: Quite an interesting paper is this one where Black-Scholes is derived through the use of concepts of relative entropy: http://www.mdpi.com/1099-4300/2/2/70/

share|improve this answer
just went through your first paper. Very good, thank you for the link – RockScience Apr 1 '11 at 6:38

Google for granger causality and its general version, transfer entropy, for a measure of whether a time series has a causal relationship with another (measured by calculating how much the conditional entropy of a time series decreases if we know another one, conditioned on everything else we know).

share|improve this answer

I have applied the concept of entropy and more specifically conditional entropy to spreading (ie, as a pricing model to get a sense for value) & execution decisions. It's good for everytime you're facing a problem of the sort, given X what is the probability density function of Y.

Also, the concept of mutual information which evaluates mutual dependence between two (random) variables can be useful in many applications. Again spreading comes to mind, risk management, etc

No papers on hand, but as usual the wiki is pretty good one going

share|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.