Question

Paul Lévy proved a “generalized” version of this statement, which relies on the concept of alpha-stability. A version of this statement that requires the existence of moments of order 2 + delta (“two plus delta”), where delta is usually set to one, (10[1])was introduced by Lyapunov. (-5[1])After flipping a coin 3,600 times, Abraham de Moivre (-5[1])proved a special case of this statement when measuring the number of “successes” in a series of independent Bernoulli trials. Textbooks often repeat the myth that this theorem provides a good approximation (10[1])when N is above 30. (10[1]-5[1])This (10[1])theorem (-5[1])underpins (10[2])statistical inference, not the similar law of large numbers. For 10 points, name this theorem which states that the rescaled sample mean of iid (“i i d”) random variables converges (10[1])to a normal distribution. (10[1])■END■ (10[1])

ANSWER: central limit theorem [or CLT; accept generalized central limit theorem or generalized CLT or Lyapunov central limit theorem or Lyapunov CLT]
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Stephen WalshNorthwestern AUChicago D3810
Coby TranUChicago CIndiana A42-5
Max BrodskyUIUC AUChicago B51-5
Nolan JonesPurdue AUIUC C8310
Ethan MaUIUC DPurdue C8810
Neal JoshiWashU BPurdue B88-5
Roy YangWashU DSIUE A8910
Max HodesUChicago ANotre Dame90-5
Yash MandaviaUIUC BPurdue D9110
Ishaan SinghPurdue BWashU B9110
Alex AkridgeIndiana AUChicago C11810
Noah McRedmondNotre DameUChicago A12210
Liam StarnesUChicago BUIUC A12310