Stochastic regressors Flashcards

1
Q

If the X variables are random then it is difficult to prove:

A

Unbiasedness

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2
Q

You cannot take a variable outside the expectations operator if it is a:

A

Random variable

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3
Q

An estimator is consistent if it converges on the true value as the sample size:

A

Becomes large

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4
Q

If O(hat)t = O, we say O(hat)t is an:

A

Unbiased estimator of O

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5
Q

The OLS estimator is only consistent if:

A

sigma(xu) = 0

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6
Q

What are some reasons the X variable may be correlated with the error?

A
  • There are omitted variables which are correlated with the X variables
  • The X variable is measured with error
  • The equation is one equation taken from a set of simultaneous equations
  • The RHS variables include lagged endogenous variables
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7
Q

X is defined as predetermined if:

A

E(X(t)u(t+i) = 0

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8
Q

If the RHS variables of a regression model are predetermined then OLS will give:

A

Consistent parameter estimates

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