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  #1  
Old 10-13-2019, 02:20 PM
Nasser Nasser is offline
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Default MLE terminology

Hi There,

are these two statements equivalent:

Domain
a - [2,3] =? b- 2 or 3

and both are discrete

I mean if I want to evaluate the MLE for a-[2,3]
p(x=2)+p(x=3) , b also has the same MLE?

Thanks
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Old 10-13-2019, 04:23 PM
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gauchodelpaso gauchodelpaso is offline
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perhaps if you clarify the application, it may help me understand your question.

What's the context?

Normally we multiply the likelihoods for MLE, if independent.
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Old 10-13-2019, 04:38 PM
Nasser Nasser is offline
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Quote:
Originally Posted by gauchodelpaso View Post
perhaps if you clarify the application, it may help me understand your question.

What's the context?

Normally we multiply the likelihoods for MLE, if independent.
the question asks about MLE for geometric distribution, basically claim counts follow geometric the observations are:

claim counts
0 or 1
2
3 or more

each observation has two policies

find the maximum likelihood estimate- beta?
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Old 10-13-2019, 06:13 PM
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gauchodelpaso gauchodelpaso is offline
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If I understand it correctly, you have 2 policies that may have 0 or 1 claim, 2 policies that have 2 claims each, and 2 policies that have 3 or more claims.

I would solve it as follows, but I may be wrong.

The likelihood would be
(pr(n=0)+pr(n=1))^2 * (pr(n=2))^2 * (pr(n>=3)^2
replace all betas and log it, derive respect to beta = 0.

If this is correct I get beta=2.71107
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Last edited by gauchodelpaso; 10-13-2019 at 06:33 PM..
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Old 10-14-2019, 12:09 AM
Nasser Nasser is offline
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Thanks German, this how I would solve it
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Old 10-14-2019, 02:40 AM
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gauchodelpaso gauchodelpaso is offline
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Quote:
Originally Posted by Nasser View Post
Thanks German, this how I would solve it
you are welcome Nasser
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