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Newton-Raphson Iteration

  • Thread starter Kinetica
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  • #1
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Homework Statement



Hi guys!
I have solved a log-likelihood problem and its Newton-Raphson Iteration. My step-by-step solution is attached.

The only problem I have is when I plug in numbers, the final number for the first order Newton-Raphson is different from my professor's.

I guess you don't need any numbers. If you can can detect a mistake in my formula derivation, I will really appreciate it.
 

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  • #2
vela
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Just to clarify, the t index variable of the summations is distinct from [itex]\tau[/itex], right? What depends on t? What happened to the term

[tex]\sum_{t=1}^n \log x![/tex]

?
 
  • #3
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Yep! It's different.
I am taking derivative with respect to that t-look-alike.
So I guess you treat x as a number.
But I cannot guarantee it.
Correct me if I am wrong please.

Just to clarify, the t index variable of the summations is distinct from [itex]\tau[/itex], right? What depends on t? What happened to the term

[tex]\sum_{t=1}^n \log x![/tex]

?
 

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