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Mathematics
Set Theory, Logic, Probability, Statistics
What are the commonly used estimators in regression models?
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[QUOTE="Stephen Tashi, post: 6869434, member: 186655"] That sounds like the Gauss-Markov heorem. How are the errors modeled? If it's ##Y = f(X) + ## error then I think you are correct. If it's ##Y = f(X + ##error ##)## then there is a problem. The Gauss-Markov Theorem would require assuming that the error associated with ##X## be uncorrelated with the error associated with any power of ##X## occuring in the model. Whether that must happen for ##X^2## is an interesting question. If we consider ##X## and ##X^3##, it's hard to imagine a laboratory situation where the error in measuring ##X## would be uncorrelated with an error in measuring ##X^3##. I suppose it would be situation where two different instruments are used to measure the two quantities. [/QUOTE]
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What are the commonly used estimators in regression models?
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