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 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 when N is above 30. 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. ■END■
Summary
2024 ACF Winter at UC Berkeley | 2024-11-16 | Y | 2 | 50% | 0% | 50% | 71.00 |
2024 ACF Winter at Lehigh | 2024-11-16 | Y | 1 | 0% | 0% | 0% | 0.00 |
2024 ACF Winter at Northwestern | 2024-11-16 | Y | 9 | 100% | 0% | 44% | 93.67 |
2024 ACF Winter at Online | 2024-11-16 | Y | 8 | 75% | 0% | 38% | 95.83 |
2024 ACF Winter at UBC | 2024-11-16 | Y | 3 | 100% | 0% | 0% | 77.67 |
2024 ACF Winter at Central Florida | 2024-11-16 | Y | 4 | 100% | 0% | 50% | 107.50 |
2024 ACF Winter at Oxford | 2024-11-16 | Y | 9 | 89% | 0% | 22% | 78.38 |
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Delia Cropper | Oxford A | Durham B | 15 | 10 |
Stephen Walsh | Northwestern A | UChicago D | 38 | 10 |
Coby Tran | UChicago C | Indiana A | 42 | -5 |
Agnijo Banerjee | Cambridge A | LSE A | 49 | 10 |
Max Brodsky | UIUC A | UChicago B | 51 | -5 |
Athena Shadden (UG) | Texas A | Arkansas | 58 | -5 |
Kevin Ye | SFU | UBC B | 58 | 10 |
Alessandro d'Attanasio | Cambridge D | Bristol A | 69 | -5 |
Rohan Shelke | Berkeley B | Stanford A | 71 | -5 |
Katherine Lei | Stanford L | Stanford M | 71 | 10 |
Leo Law | UF A | UCF A | 72 | -5 |
Chris Levesley | Warwick A | Vanderbilt | 72 | 10 |
Henry Jameson | LSE B | Imperial A | 76 | 10 |
Jacob Hardin-Bernhardt (D2) | NYU A | Oregon State | 82 | -5 |
Nolan Jones | Purdue A | UIUC C | 83 | 10 |
Michael Wu | Southhampton B | Manchester | 83 | 10 |
Devito Stevanus (UG) | McGill E | Missouri | 87 | -5 |
Russell Nip (UG) | UBC A | UW A | 87 | 10 |
Neal Joshi | WashU B | Purdue B | 88 | -5 |
Ethan Ma | UIUC D | Purdue C | 88 | 10 |
Arnav Lahoti (D2) | Texas B | Vassar B | 88 | 10 |
Anne Fjeld (DII) | Alberta | UW B | 88 | 10 |
Graham Cope | UF B | Florida Tech B | 88 | 10 |
Gus Redding | Imperial B | Southampton A | 88 | 10 |
Faiz Ahmed | Birmingham | Bristol B | 88 | -5 |
Roy Yang | WashU D | SIUE A | 89 | 10 |
Max Hodes | UChicago A | Notre Dame | 90 | -5 |
Keerthana Krishnan (D2) | Texas C | Iowa | 90 | 10 |
Hrishit Chaudhuri | NYU B | Colorado College | 90 | 10 |
Ishaan Singh | Purdue B | WashU B | 91 | 10 |
Yash Mandavia | UIUC B | Purdue D | 91 | 10 |
Sam Macchi (D2) | Vassar A | WUSTL A | 91 | 10 |
Mitchell Hackett (D2) | Central Oklahoma | Texas D | 93 | 10 |
Jeevan Iyadurai | UF C | UF F | 96 | 10 |
Kyan van Beek | UF E | UF D | 106 | -5 |
Alex Akridge | Indiana A | UChicago C | 118 | 10 |
Noah McRedmond | Notre Dame | UChicago A | 122 | 10 |
Robert Ballantyne | Bristol B | Birmingham | 122 | 10 |
Oliver Beeby | Oxford B | Cambridge C | 122 | 10 |
Chase Barrick | Lehigh A | Penn State B | 123 | 0 |
Liam Starnes | UChicago B | UIUC A | 123 | 10 |
Braden Booth (D2) | Missouri | McGill E | 123 | 10 |
Aaron Garcia (UG) | Arkansas | Texas A | 123 | 0 |
Roman Bassett | UF D | UF E | 123 | 10 |
Shiva Tegulla | UCF A | UF A | 123 | 10 |