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0 votes
1 answer
20 views

Monte Carlo method for likelihoods ratio density estimation

I recently started reading Stephen Kay's Fundamentals of Statistical Signal Processing - Detection Theory (Volume II) and there is something I do not fully understand about likelihoods and hypothesis ...
gangrene's user avatar
  • 103
1 vote
0 answers
69 views

Likelihood ratio as minimal sufficient statistics in infinite parameter space

I just read a question from here (Likelihood ratio minimal sufficient) and have some thoughts. Let me restate the question first: Consider a family of density functions $f(x|\theta)$ where the ...
Cyno Benette's user avatar
5 votes
1 answer
764 views

Likelihood ratio test vs p value for Poisson regression

I have a Poisson regression model, from its summary table, I could see the p-value for a certain variable, e.g. gender. Since the p-value is testing the hypothesis whether the coefficient of gender ...
user344849's user avatar
2 votes
1 answer
66 views

Likelihood ratio test for model specification with boundary Null

I am interested in understanding the asymptotic distribution of Likelihood ratio (LR) test statistic for model specification. I am focusing on the case in which the null hypothesis is of the form (i.e....
Alfonso's user avatar
  • 21
0 votes
0 answers
42 views

Test for seasonality with LR-test?

I have an economic time series in monthly frequency. I want to test for seasonality using LR-Test. So the idea is to: Regress the time series y on a model with a time trend and 12 seasonal dummy ...
george1994's user avatar
12 votes
5 answers
2k views

Is the exact value of any likelihood meaningless?

While reading about likelihood, I have heard that "the exact value of any likelihood is meaningless" why? So, because of that we may use the likelihood ratio. So, my question is, why the ...
Alice's user avatar
  • 650
0 votes
0 answers
137 views

How can I determine the Simple Likelihood Ratio Test in the case of a Uniform(0,$\theta$) random variable?

Suppose we are given independent random variables $X_{1},\dots,X_{n} \sim \mathrm{Uniform}(0,\theta)$. I'm having some trouble trying to find the most powerful test of size $\alpha$ of the hypothesis: ...
buffalo's user avatar
  • 11
0 votes
0 answers
247 views

Likelihood Ratio Test without Chi-square test

Likelihood ratio test (LRT) usually uses a chi-square test to compare two different models. Are there any variants of LRT that does not use chi-square test?
High GPA's user avatar
  • 823
1 vote
0 answers
40 views

How can I interpret the substantive size of a log likelihood or increase in log likelihood

If I run a linear regression and get an R-squared, it has a substantive interpretation: this is how much of the variance in the sample the model explained. If I add a term and see an increase in R-...
dash2's user avatar
  • 246
2 votes
0 answers
3k views

Converting Log-Likelihood to Chi-square

I'm using two different algorithms to get a periodogram. One outputs log-likelihood and the other outputs chi-squared test statistic, but I would like a way to convert from log-likelihood to $\chi^2$ ...
K.B.'s user avatar
  • 21
0 votes
2 answers
810 views

Likelihood ratio test multiplying by 2

Regarding the likelihood ratio test. I can't seem to find an answer to why we multiply the log likelihood ratio's with 2. On wikipedia it says we multiply by 2, in order to mathematically, say they ...
Sebastian Strauss Hansen's user avatar
0 votes
1 answer
765 views

Degrees of freedom for asymptotic likelihood ratio test?

When testing: $H_{0}: p_{1}=p_{2}=p_{3}$ vs. $H_{1}$: at least one is different With the asymptotic likelihood ratio test, by Wilk's theorem, how many degrees of freedom would the Chi-square ...
Michael's user avatar
0 votes
0 answers
285 views

How to do liklihood ratio test comparing two models using pchisq [duplicate]

This questino doesn't answer my question since it is asking about lrtest and pchisq comparison I am simply asking that how to do likliehood test for 2 models using ...
Em Ae's user avatar
  • 351
7 votes
1 answer
587 views

Likelihood ratio test for mixed effects model

I'm currently struggling with how to assess the type I error of a permutation test for significance of variance term in R. The idea that I want to follow is outlined below: Suppose we simulate data ...
asdf's user avatar
  • 384
0 votes
1 answer
41 views

When is it appropriate to use a likelihood evaluation rather than least squares fitting?

I realise this might be a very open ended question, and there probably isn't a straight forward answer, but here goes: I have been learning more about Likelihood evaluation (LLE, MLE,LRE) techniques. ...
user27119's user avatar
  • 328

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