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, was introduced by Lyapunov. After flipping a coin 3,600 times, Abraham de Moivre proved a special case of this statement (-5[1])when measuring the number of “successes” in a series of independent Bernoulli trials. Textbooks often repeat the myth that this theorem provides a good (-5[1])approximation when N is above (-5[1])30. (10[1])This theorem (10[2])underpins (10[1])statistical inference, (10[1])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. ■END■ (10[1]0[1])

ANSWER: central limit theorem [or CLT; accept generalized central limit theorem or generalized CLT or Lyapunov central limit theorem or Lyapunov CLT]
<Other Science>
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Athena Shadden (UG)Texas AArkansas58-5
Jacob Hardin-Bernhardt (D2)NYU AOregon State82-5
Devito Stevanus (UG)McGill EMissouri87-5
Arnav Lahoti (D2)Texas BVassar B8810
Hrishit ChaudhuriNYU BColorado College9010
Keerthana Krishnan (D2)Texas CIowa9010
Sam Macchi (D2)Vassar AWUSTL A9110
Mitchell Hackett (D2)Central OklahomaTexas D9310
Aaron Garcia (UG)ArkansasTexas A1230
Braden Booth (D2)MissouriMcGill E12310

Summary