likelihood function for a uniform distribution:
L(θ)=Πi=1nf(xi;a,b)=Πi=1n(b−a)n1=Πi=1n(b−a)n1=Πi=1n(θ+1/3−θ+1/3)n1=Πi=1n(2/3)n1
log-likelihood function:
l(θ)=−nlog(2/3)
log-likelihood function does not depend on θ , so MLE for θ does not exist
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