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junbum
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MLE for complicated stochatic process

June 6th, 2005, 3:22 pm

Hello People,My question is how do i obtain MLE estimates for a stochastic process where the pdf cannot be written in a functional form(not obvious how to write)
 
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JamesH83
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Joined: June 25th, 2003, 11:38 pm

MLE for complicated stochatic process

June 6th, 2005, 3:41 pm

Could you do it via Monte Carlo?On a related note, there is no known likelihood function for stochastic vol right?
 
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Alan
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MLE for complicated stochatic process

June 6th, 2005, 5:32 pm

 
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Rez
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Joined: May 28th, 2003, 9:27 pm

MLE for complicated stochatic process

June 6th, 2005, 10:44 pm

junbum:If you know the moments you can use some expansion. If you have the characteristic function you can also construct approximations.James:Bates has a methodology where he implements a (type of) Kalman filter on the Heston model using characteristic functions. He calls it ML for affine processes.Kyriakos
 
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reza
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Joined: August 30th, 2001, 3:40 pm

MLE for complicated stochatic process

June 7th, 2005, 11:47 am

>> there is no known likelihood function for stochastic vol, right? James, Kyriakos Fyi, this is actually the principal focus of this book (coming out in September)http://www.wiley.com/WileyCDA/WileyTitl ... 33873.html
Last edited by reza on June 6th, 2005, 10:00 pm, edited 1 time in total.
 
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JamesH83
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MLE for complicated stochatic process

June 7th, 2005, 12:01 pm

Looks like a very interesting book.If I buy a copy you'll have to sign it for me!