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The Central Limit Theorem A Y1,,YnY _ { 1 } , \ldots , Y _ { n }

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The central limit theorem a. states conditions under which a variable involving the sum of Y1,,YnY _ { 1 } , \ldots , Y _ { n } i.i.d. variables becomes the standard normal distribution.
b. postulates that the sample mean Yˉ\bar { Y } is a consistent estimator of the population mean μY\mu _ { Y } .
c. only holds in the presence of the law of large numbers.
d. states conditions under which a variable involving the sum of Y1,,YnY _ { 1 } , \ldots , Y _ { n } i.i.d. variables becomes the Student tt distribution.

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