Title: Logistic Growth Curves to BTC/USD Post by: bb113 on October 06, 2012, 09:52:40 PM I want to fit this simple curve to the bitcoin price history and forecast into the future using a mcmc script I have:
Code: y = a/(1+exp((b - x)/c ) ) + sigma So how long out should I forecast? How much will the price deviate from its "true value" on average over that time (eg $10 dollars) I realize this is a very simple model but it is superior to the exponential curves everyone likes. Title: Re: Logistic Growth Curves to BTC/USD Post by: pretendo on October 06, 2012, 11:26:07 PM Theoretically price will be immanentized at a difference, equal to the market interest rate (time value) if that is what you're asking.
Title: Re: Logistic Growth Curves to BTC/USD Post by: mobodick on October 07, 2012, 02:24:29 PM I want to fit this simple curve to the bitcoin price history and forecast into the future using a mcmc script I have: Code: y = a/(1+exp((b - x)/c ) ) + sigma So how long out should I forecast? How much will the price deviate from its "true value" on average over that time (eg $10 dollars) I realize this is a very simple model but it is superior to the exponential curves everyone likes. Seems like i beat you to it ;) https://bitcointalk.org/index.php?topic=113725.0 But what i did was slightly simpler. I didn't break down the formula as much as you did. I noticed a pattern and projected a simple y=x^1/z curve against it. z was somewhere between 1 and 2 and if i remember correctly it was about 1.8 (but it may have been 1.3, it was very late that night :) ). Title: Re: Logistic Growth Curves to BTC/USD Post by: mobodick on October 07, 2012, 02:27:38 PM I want to fit this simple curve to the bitcoin price history and forecast into the future using a mcmc script I have: Code: y = a/(1+exp((b - x)/c ) ) + sigma So how long out should I forecast? How much will the price deviate from its "true value" on average over that time (eg $10 dollars) I realize this is a very simple model but it is superior to the exponential curves everyone likes. Also, i think that a formula like yours cannot predict the mean price. Bitcoin seems realy weird in this respect as all the action seems to be projected on top of a curve and not around it. Mean price and top price would require more complex formulas. |