Mathematics / Math.IT

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A radial version of the Central Limit Theorem

์ด ๋…ผ๋ฌธ์˜ ํ•ต์‹ฌ ์•„์ด๋””์–ด๋Š” ์›๋ž˜์˜ ์ค‘์‹ฌ๊ทนํ•œ์ •๋ฆฌ(Central Limit Theorem, CLT)๋ฅผ ๋ฐฉ์‚ฌํ˜• ๋ฒ„์ „์œผ๋กœ ํ™•์žฅํ•˜๋Š” ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ด ํ™•์žฅ์„ ํ†ตํ•ด ๋น„๋“ฑ๋ฐฉ์„ฑ ๊ฐ€์šฐ์Šค ํ•จ์ˆ˜๋ฅผ ๊ทผ์‚ฌํ•  ์ˆ˜ ์žˆ๋Š” ์ƒˆ๋กœ์šด ๋ฐฉ๋ฒ•๋ก ์„ ์ œ์‹œํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. 1. ๋ฐฉ์‚ฌํ˜• CLT์™€ ๋น„๋“ฑ๋ฐฉ์„ฑ ๊ฐ€์šฐ์Šค ํ•จ์ˆ˜์˜ ๊ทผ์‚ฌ ๋…ผ๋ฌธ์€ ๊ฐ ๋ฐฉ์‚ฌ ๋ฐฉํ–ฅ์— ๋”ฐ๋ผ ๋ฐ•์Šค ํ•จ์ˆ˜ ํญ์„ ์กฐ์ ˆํ•จ์œผ๋กœ์จ ๋น„๋“ฑ๋ฐฉ์„ฑ ๊ฐ€์šฐ์Šค ํ•จ์ˆ˜๋ฅผ ๊ทผ์‚ฌํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ์•„์ด๋””์–ด๋ฅผ ์ œ์‹œํ•ฉ๋‹ˆ๋‹ค. ์ด๋Š” ํŠนํžˆ 4๋ฐฉํ–ฅ ๋ฐ•์Šค ์Šคํ”Œ๋ผ์ธ์ด๋ผ๋Š” ํŠน๋ณ„ํ•œ ๊ฒฝ์šฐ์—์„œ ํšจ๊ณผ์ ์ž…๋‹ˆ๋‹ค. ๊ณต๋ถ„์‚ฐ์„ ์ œ์–ดํ•˜๊ธฐ ์œ„ํ•ด ๋‹จ์ˆœํžˆ ๋ฐ•์Šค ๋ถ„ํฌ ํญ์„ ์กฐ์ ˆํ•˜๋Š” ๊ฐ„๋‹จํ•œ ์•Œ๊ณ ๋ฆฌ์ฆ˜์ด

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