How to specify Maximum Likelihood
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How to specify Maximum Likelihood
Dear,
Could someone help me in how to specify for using maximum likelihood in Eviews? I dont understand how to define beta, alpha, scale in the specification. in the case of my analysis, I have series of prices of different commodities which are used as dependent variable and the remaining as independent ones.
Could someone help me in how to specify for using maximum likelihood in Eviews? I dont understand how to define beta, alpha, scale in the specification. in the case of my analysis, I have series of prices of different commodities which are used as dependent variable and the remaining as independent ones.

 Fe ddaethom, fe welon, fe amcangyfrifon
 Posts: 11835
 Joined: Tue Sep 16, 2008 5:38 pm
Re: How to specify Maximum Likelihood
You're going to have to be way more specific than that.
What is the likelihood function you're trying to maximise? What is the data you're trying to use? What are the parameters you're trying to estimate?
What is beta, alpha and scale?
What is the likelihood function you're trying to maximise? What is the data you're trying to use? What are the parameters you're trying to estimate?
What is beta, alpha and scale?
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Re: How to specify Maximum Likelihood
Thanks for your prompt reply.
I would like to analyze the response of prices of rice on the changes in prices of crude oil (some dummies are included on the right hand side). Price data are daily basis, which is from Jul 2, 2007 to end of Mar, 2009. I am totally new to ML method, I am reading the User's Guide of Eviews to understand how to estimate using this method. I hope this method may help me to reduce the serial correlation in the results by using OLS.
As I read in the book, like below:
Parameter Names
In the example above, we used the coefficients C(1) to C(5) as names for our unknown parameters. More generally, any element of a named coefficient vector which appears in the specification will be treated as a parameter to be estimated.
In the conditional heteroskedasticity example, you might choose to use coefficients from three different coefficient vectors: one vector for the mean equation, one for the variance equation, and one for the variance parameters. You would first create three named coefficient vectors by the commands:
coef(3) beta
coef(1) scale
coef(1) alphaYou could then write the likelihood specification as:
@logl logl1
res = y  beta(1)  beta(2)*x  beta(3)*z
var = scale(1)*z^alpha(1)
logl1 = log(@dnorm(res/@sqrt(var)))  log(var)/2
I dont understand how to create coefficient vetors, and what "z" means in the specification.
Please explain me. Thank you very much!
I would like to analyze the response of prices of rice on the changes in prices of crude oil (some dummies are included on the right hand side). Price data are daily basis, which is from Jul 2, 2007 to end of Mar, 2009. I am totally new to ML method, I am reading the User's Guide of Eviews to understand how to estimate using this method. I hope this method may help me to reduce the serial correlation in the results by using OLS.
As I read in the book, like below:
Parameter Names
In the example above, we used the coefficients C(1) to C(5) as names for our unknown parameters. More generally, any element of a named coefficient vector which appears in the specification will be treated as a parameter to be estimated.
In the conditional heteroskedasticity example, you might choose to use coefficients from three different coefficient vectors: one vector for the mean equation, one for the variance equation, and one for the variance parameters. You would first create three named coefficient vectors by the commands:
coef(3) beta
coef(1) scale
coef(1) alphaYou could then write the likelihood specification as:
@logl logl1
res = y  beta(1)  beta(2)*x  beta(3)*z
var = scale(1)*z^alpha(1)
logl1 = log(@dnorm(res/@sqrt(var)))  log(var)/2
I dont understand how to create coefficient vetors, and what "z" means in the specification.
Please explain me. Thank you very much!

 Fe ddaethom, fe welon, fe amcangyfrifon
 Posts: 11835
 Joined: Tue Sep 16, 2008 5:38 pm
Re: How to specify Maximum Likelihood
beta, scale and alpha are coefficient vectors in the workfile. They're just vectors that store parameters.
You can create them, just as the manual says, by typing "coef(3) beta" in the EViews command window.
"Z", as mentioned in the manual, is a series in the workfile.
Perhaps before attempting to use the LogL object, it might be worth learning a little on maximum likelihood estimation (MLE) from an econometrics textbook. Learning MLE from reading the EViews manual is going to be tough.
You can create them, just as the manual says, by typing "coef(3) beta" in the EViews command window.
"Z", as mentioned in the manual, is a series in the workfile.
Perhaps before attempting to use the LogL object, it might be worth learning a little on maximum likelihood estimation (MLE) from an econometrics textbook. Learning MLE from reading the EViews manual is going to be tough.
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Re: How to specify Maximum Likelihood
Thank you. In the textbook, z is define as a series in the workfile (where x, y, and z are the observed series (data)). in the example: y_t=b1+b2x_t+b3z_t+e_t, Let's say y is dependent variable, x, z are independent ones. But in the
series res = y  c(1)  c(2)*x  c(3)*z
series var = c(4) * z^c(5)
series logl1 = log(@dnorm(res/@sqrt(var)))  log(var)/2
"z" is treated in the var function. What is the difference between x and z. Since I have price of oil (independent variable) and dummy varibles, how can I define which is z?
Thank you for your advice. ( I could create beta, alpha and scala with your instruction)
series res = y  c(1)  c(2)*x  c(3)*z
series var = c(4) * z^c(5)
series logl1 = log(@dnorm(res/@sqrt(var)))  log(var)/2
"z" is treated in the var function. What is the difference between x and z. Since I have price of oil (independent variable) and dummy varibles, how can I define which is z?
Thank you for your advice. ( I could create beta, alpha and scala with your instruction)

 Fe ddaethom, fe welon, fe amcangyfrifon
 Posts: 11835
 Joined: Tue Sep 16, 2008 5:38 pm
Re: How to specify Maximum Likelihood
The particular likelihood function that the example is estimating has the error term's variance as a function of Z (if you look at equation 32.1). Hence the LogL object has the variance as a function of Z.
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Re: How to specify Maximum Likelihood
Dear Gareth, I am sorry for asking you too many times, I dont really understand.
In the equation (22.1), it mentions that, but I dont know why it is the function of Z, not X, while both X and Z are independent variables. I need to define exactly in the case of mine which is Z.
In the equation (22.1), it mentions that, but I dont know why it is the function of Z, not X, while both X and Z are independent variables. I need to define exactly in the case of mine which is Z.

 Fe ddaethom, fe welon, fe amcangyfrifon
 Posts: 11835
 Joined: Tue Sep 16, 2008 5:38 pm
Re: How to specify Maximum Likelihood
As I said above, I think you need to have a deeper understanding of MLE before you can understand how to estimate MLE in EViews.
I can't possibly tell you which variable should be "z". Do you even know if the particular likelihood function this specific example is estimating is the particular likelihood function you wish to estimate?
If the answer to that is "yes", then you (and only you) should already know which variable is "z".
I can't possibly tell you which variable should be "z". Do you even know if the particular likelihood function this specific example is estimating is the particular likelihood function you wish to estimate?
If the answer to that is "yes", then you (and only you) should already know which variable is "z".
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Re: How to specify Maximum Likelihood
Thanks. I read to understand more MLE.
Re: How to specify Maximum Likelihood
Dear Gareth, I hope you are still with me. I tried to estimate using logl, but it popped up with this warning: Missing values in @logl series at current oeeficients at observation 1. The specification used to estimate is as follows:
@logl loglrice
res=pricebeta(1)beta(2)*poilbeta(3)*dricqbeta(4)*sdmepbeta(5)*sdvxbbeta(6)*dths
var = scale(1)*poil^alpha(1)
loglrice = log(@dnorm(res/@sqrt(var)))  log(var)/2
Could you please explain me this and how to solve this problem?
@logl loglrice
res=pricebeta(1)beta(2)*poilbeta(3)*dricqbeta(4)*sdmepbeta(5)*sdvxbbeta(6)*dths
var = scale(1)*poil^alpha(1)
loglrice = log(@dnorm(res/@sqrt(var)))  log(var)/2
Could you please explain me this and how to solve this problem?
Re: How to specify Maximum Likelihood
Dear Friends, could any one help me this?
I tried to estimate using logl, but it popped up with this warning: Missing values in @logl series at current oeeficients at observation 1. The specification used to estimate is as follows:
@logl loglrice
res=pricebeta(1)beta(2)*poilbeta(3)*dricqbeta(4)*sdmepbeta(5)*sdvxbbeta(6)*dths
var = scale(1)*poil^alpha(1)
loglrice = log(@dnorm(res/@sqrt(var)))  log(var)/2
Could you please explain me this and how to solve this problem?
I tried to estimate using logl, but it popped up with this warning: Missing values in @logl series at current oeeficients at observation 1. The specification used to estimate is as follows:
@logl loglrice
res=pricebeta(1)beta(2)*poilbeta(3)*dricqbeta(4)*sdmepbeta(5)*sdvxbbeta(6)*dths
var = scale(1)*poil^alpha(1)
loglrice = log(@dnorm(res/@sqrt(var)))  log(var)/2
Could you please explain me this and how to solve this problem?
Re: How to specify Maximum Likelihood
Looks like you are having an initial value problem. You should try different starting values for your coefficients, especially the ones that are used in the variance specification (i.e. scale and alpha). There have been numerous discussions on this issue, so you might want to do a simple search in the forum.
Re: How to specify Maximum Likelihood
trubador wrote:different starting values for your coefficients, especially the ones that are used in the variance specification (i.e. scale and alpha).
What do you mean by "starting value for your coefficients"?
Re: How to specify Maximum Likelihood
If you have not assigned any values to scale(1) and alpha(1), then EViews assumes 0 as their starting values, which can create problems in your variance equation. So it may be a good idea to supply different values, before running the estimation.
Re: How to specify Maximum Likelihood
I just changed the value "0" to "1" for both alpha and scale. It worked. But in the result sheet, the standard error, zstats and probability are all not available (NA). WHat is the problem?
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