The following is a sufficient condition, the Laplace-Liapounoff condition, for the central limit theorem: If X 1
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The following is a sufficient condition, the Laplace-Liapounoff condition, for the central limit theorem: If X1, X2, X3, . . . is a sequence of independent random variables, each having an absolute third moment
And if
Where Yn = X1 + X2 + · · · + Xn, then the distribution of the standardized mean of the Xi approaches the standard normal distribution when n → ∞. Use this condition to show that the central limit theorem holds for the sequence of random variables of Exercise 8.7.
DistributionThe word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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John E Freunds Mathematical Statistics With Applications
ISBN: 9780134995373
8th Edition
Authors: Irwin Miller, Marylees Miller
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