Math Is Fun Forum

Karimazer1

Guest

Simplifying this equation....

I'm trying to manipulate this equation, it's the penultimate question on this topic. Manipulating it using log and exp rules are the pre-requisites to advancing to the next part of the question, but I'm finding this very tricky.

If someone could take a look / let me know where I'm going wrong / let me know how to progress, I would really appreciate it.

I want to simplify;

by finding the likelyhood function.

So I need simplify the above, but wtp to the 'n' values for 'r'.

So, I get

...

So, I can simplify all the 'l' by doing

, I don't know how to break down the (r1r2...rn), and I can break down the exp bit into

So I think I've done the RHS (Exp) bit correct, in other questions that seems consistent, i.e. take one thing outside and that's the furthest I can go.

The difficult bit for me this time is that 'r' appears twice, on the LHS, the L*L*....*L =

, but what about the r1*r2*.....*rn?

Does this simply simplify down to

?

This must be wrong...can someone please attempt and help? Thank you all so much

KarimAzer

Member

Registered: 2011-11-08

Posts: 3

Re: Simplifying this equation....

If you don't really understand what I'm aiming to do,

take a look at this;

cnx.org/content/m13500/latest/

Paste that into google if you want to make sure it's safe etc,

It has examples of Maximum Likelihood Examples, it shows how to manipulate so that I can then take the Log...then the derivative...then estimate.

Unfortunately I'm stuck at the first stage with my question, but if you want/need some background example that's a good website that has 2 different ones

KarimAzer

Member

Registered: 2011-11-08

Posts: 3

Re: Simplifying this equation....

Does anyone understand?

I need to simplify down, or even better is my result correct? I really am unsure, thanks!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Simplifying this equation....

Hi KarimAzer;

I am sorry but I do not understand either, what have you done so far and please keep it simple.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.