Question

Paul Lévy proved a “generalized” version of this statement, which relies on the concept of alpha-stability. (10[1])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, was introduced by Lyapunov. After flipping a coin 3,600 times, Abraham (10[1])de Moivre proved a special case of this statement when measuring the number of “successes” in a series of independent (-5[1])Bernoulli trials. Textbooks (10[1])often repeat the myth (10[1])that this theorem provides a good approximation (10[1])when N is above 30. (10[1]-5[1])This theorem underpins 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 to a normal distribution. (10[2])■END■

ANSWER: central limit theorem [or CLT; accept generalized central limit theorem or generalized CLT or Lyapunov central limit theorem or Lyapunov CLT]
<Other Science>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Delia CropperOxford ADurham B1510
Agnijo BanerjeeCambridge ALSE A4910
Alessandro d'AttanasioCambridge DBristol A69-5
Chris LevesleyWarwick AVanderbilt7210
Henry JamesonLSE BImperial A7610
Michael WuSouthhampton BManchester8310
Faiz AhmedBirminghamBristol B88-5
Gus ReddingImperial BSouthampton A8810
Robert BallantyneBristol BBirmingham12210
Oliver BeebyOxford BCambridge C12210

Summary