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, (10[1])was introduced by Lyapunov. (-5[1])After flipping a coin 3,600 times, Abraham (10[1])de Moivre (-5[1])proved a special case of this statement (10[1]-5[1])when measuring the number of “successes” in a series of independent (-5[1])Bernoulli trials. (10[1]-5[1])Textbooks (10[1]-5[1])often repeat the myth (10[1])that this theorem provides a good (-5[1])approximation (10[2])when N is above (10[1]-5[1])30. (10[5]-5[2])This (10[1])theorem (10[2]-5[1])underpins (10[3])statistical inference, (10[1])not the similar (10[1])law of large numbers. For 10 points, name this theorem (-5[1])which states that the rescaled sample mean of iid (“i i d”) random variables converges (10[1])to a normal distribution. (10[3])■END■ (10[4]0[2])

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

Summary

Buzzes

PlayerTeamOpponentBuzz PositionValue
Delia CropperOxford ADurham B1510
Stephen WalshNorthwestern AUChicago D3810
Coby TranUChicago CIndiana A42-5
Agnijo BanerjeeCambridge ALSE A4910
Max BrodskyUIUC AUChicago B51-5
Athena Shadden (UG)Texas AArkansas58-5
Kevin YeSFUUBC B5810
Alessandro d'AttanasioCambridge DBristol A69-5
Rohan ShelkeBerkeley BStanford A71-5
Katherine LeiStanford LStanford M7110
Leo LawUF AUCF A72-5
Chris LevesleyWarwick AVanderbilt7210
Henry JamesonLSE BImperial A7610
Jacob Hardin-Bernhardt (D2)NYU AOregon State82-5
Nolan JonesPurdue AUIUC C8310
Michael WuSouthhampton BManchester8310
Devito Stevanus (UG)McGill EMissouri87-5
Russell Nip (UG)UBC AUW A8710
Neal JoshiWashU BPurdue B88-5
Ethan MaUIUC DPurdue C8810
Arnav Lahoti (D2)Texas BVassar B8810
Anne Fjeld (DII)AlbertaUW B8810
Graham CopeUF BFlorida Tech B8810
Gus ReddingImperial BSouthampton A8810
Faiz AhmedBirminghamBristol B88-5
Roy YangWashU DSIUE A8910
Max HodesUChicago ANotre Dame90-5
Keerthana Krishnan (D2)Texas CIowa9010
Hrishit ChaudhuriNYU BColorado College9010
Ishaan SinghPurdue BWashU B9110
Yash MandaviaUIUC BPurdue D9110
Sam Macchi (D2)Vassar AWUSTL A9110
Mitchell Hackett (D2)Central OklahomaTexas D9310
Jeevan IyaduraiUF CUF F9610
Kyan van BeekUF EUF D106-5
Alex AkridgeIndiana AUChicago C11810
Noah McRedmondNotre DameUChicago A12210
Robert BallantyneBristol BBirmingham12210
Oliver BeebyOxford BCambridge C12210
Chase BarrickLehigh APenn State B1230
Liam StarnesUChicago BUIUC A12310
Braden Booth (D2)MissouriMcGill E12310
Aaron Garcia (UG)ArkansasTexas A1230
Roman BassettUF DUF E12310
Shiva TegullaUCF AUF A12310