Question: 1) Central limit theorem (CLT) is only applicable when the data sequence is independent and identically distributed (IID). 2)Law of large number (LLN) and central

1) Central limit theorem (CLT) is only applicable when the data sequence is independent and identically distributed (IID).

2)Law of large number (LLN) and central limit theorem (CLT) are synonyms, i.e. essentially the same thing.

3)A sample variance estimator can be considered a random variable itself.

4)In OLS problem y=Xb+e as described in the lectures, if there are identical columns in the stacked matrix X then there is no solution for coefficients.

5)All random number generators (RNG) are pseudo RNG, i.e. they do not generate true random numbers.

6)The seed in random number generator (RNG) can be used to reproduce the sequence.

7)Inverse CDF method can only be used to generate continuous random numbers

8)The most efficient method to generate nromal (Gaussian) random numbers is

A)Sampling normal with CLT

B)NORM.S.INV(RAND()) in Excel

C)Inverse CDF

D)Marsaglia

9)Linear congruental generator (LCG) generates unifrm random numbers

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