鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�400澶氭墍楂樼瓑闄㈡牎鎷涙敹纰╁+銆佸崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞达紱鍧囨彁渚涙敹璨�(f猫i)涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛�(di菐n)鎿娾€�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛�(di菐n)鎿娾€�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
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姒傜巼璜栬垏鏁�(sh霉)鐞嗙当(t菕ng)瑷�(j矛)
涓€銆侀毃姗�(j墨)浜嬩欢鍜屾鐜�
鑰冭│鍏�(n猫i)瀹�
闅ㄦ(j墨)浜嬩欢鑸囨ǎ鏈┖闁撲簨浠剁殑闂�(gu膩n)绯昏垏閬�(y霉n)绠楀畬鍌欎簨浠剁祫姒傜巼鐨勬蹇垫鐜囩殑鍩烘湰鎬ц唱(zh矛)鍙ゅ吀鍨嬫鐜囧咕浣曞瀷姒傜巼姊濅欢姒傜巼姒傜巼鐨勫熀鏈叕寮忎簨浠剁殑鐛�(d煤)绔嬫€х崹(d煤)绔嬮噸寰�(f霉)瑭﹂(y脿n)
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1.浜嗚В妯f湰绌洪枔锛堝熀鏈簨浠剁┖闁擄級鐨勬蹇�锛岀悊瑙i毃姗�(j墨)浜嬩欢鐨勬蹇�锛屾帉鎻′簨浠剁殑闂�(gu膩n)绯诲強閬�(y霉n)绠�
2.鐞嗚В姒傜巼銆佹浠舵鐜囩殑姒傚康锛屾帉鎻℃鐜囩殑鍩烘湰鎬ц唱(zh矛)锛屾渻(hu矛)瑷�(j矛)绠楀彜鍏稿瀷姒傜巼鍜屽咕浣曞瀷姒傜巼锛屾帉鎻℃鐜囩殑鍔犳硶鍏紡銆佹笡娉曞叕寮�銆佷箻娉曞叕寮�銆佸叏姒傜巼鍏紡浠ュ強璨濊憠鏂紙Bayes锛夊叕寮�
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鑰冭│瑕佹眰
1.鐞嗚В闅ㄦ(j墨)璁婇噺鐨勬蹇碉紝鐞嗚В鍒嗗竷鍑芥暩(sh霉)鐨勬蹇靛強鎬ц唱(zh矛)锛屾渻(hu矛)瑷�(j矛)绠楄垏闅ㄦ(j墨)璁婇噺鐩歌伅(li谩n)绯荤殑浜嬩欢鐨勬鐜�
2.鐞嗚В闆㈡暎鍨嬮毃姗�(j墨)璁婇噺鍙婂叾姒傜巼鍒嗗竷鐨勬蹇�锛屾帉鎻�0-1鍒嗗竷銆佷簩闋�(xi脿ng)鍒嗗竷銆佸咕浣曞垎甯�銆佽秴骞句綍鍒嗗竷銆佹硦鏉撅紙Poisson锛夊垎甯冨強鍏舵噳(y墨ng)鐢�
3.浜嗚В娉婃澗瀹氱悊鐨勭祼(ji茅)璜栧拰鎳�(y墨ng)鐢ㄦ浠�锛屾渻(hu矛)鐢ㄦ硦鏉惧垎甯冭繎浼艰〃绀轰簩闋�(xi脿ng)鍒嗗竷
4.鐞嗚В閫g簩(x霉)鍨嬮毃姗�(j墨)璁婇噺鍙婂叾姒傜巼瀵嗗害鐨勬蹇�锛屾帉鎻″潎鍕诲垎甯冦€佹鎱�(t脿i)鍒嗗竷銆佹寚鏁�(sh霉)鍒嗗竷鍙婂叾鎳�(y墨ng)鐢�
5.鏈�(hu矛)姹傞毃姗�(j墨)璁婇噺鍑芥暩(sh霉)鐨勫垎甯�
涓夈€佸缍毃姗�(j墨)璁婇噺鍙婂叾鍒嗗竷
鑰冭│鍏�(n猫i)瀹�
澶氱董闅ㄦ(j墨)璁婇噺鍙婂叾鍒嗗竷浜岀董闆㈡暎鍨嬮毃姗�(j墨)璁婇噺鐨勬鐜囧垎甯�銆侀倞绶e垎甯冨拰姊濅欢鍒嗗竷浜岀董閫g簩(x霉)鍨嬮毃姗�(j墨)璁婇噺鐨勬鐜囧瘑搴�銆侀倞绶f鐜囧瘑搴﹀拰姊濅欢瀵嗗害闅ㄦ(j墨)璁婇噺鐨勭崹(d煤)绔嬫€у拰涓嶇浉闂�(gu膩n)鎬у父鐢ㄤ簩缍毃姗�(j墨)璁婇噺鐨勫垎甯冨叐鍊�(g猫)鍙婂叐鍊�(g猫)浠ヤ笂闅ㄦ(j墨)璁婇噺绨″柈鍑芥暩(sh霉)鐨勫垎甯�
鑰冭│瑕佹眰
1.鐞嗚В澶氱董闅ㄦ(j墨)璁婇噺鐨勬蹇碉紝鐞嗚В澶氱董闅ㄦ(j墨)璁婇噺鐨勫垎甯冪殑姒傚康鍜屾€ц唱(zh矛)锛岀悊瑙d簩缍洟鏁e瀷闅ㄦ(j墨)璁婇噺鐨勬鐜囧垎甯冦€侀倞绶e垎甯冨拰姊濅欢鍒嗗竷锛岀悊瑙d簩缍€g簩(x霉)鍨嬮毃姗�(j墨)璁婇噺鐨勬鐜囧瘑搴�銆侀倞绶e瘑搴﹀拰姊濅欢瀵嗗害锛屾渻(hu矛)姹傝垏浜岀董闅ㄦ(j墨)璁婇噺鐩搁棞(gu膩n)浜嬩欢鐨勬鐜�
2.鐞嗚В闅ㄦ(j墨)璁婇噺鐨勭崹(d煤)绔嬫€у強涓嶇浉闂�(gu膩n)鎬х殑姒傚康锛屾帉鎻¢毃姗�(j墨)璁婇噺鐩镐簰鐛�(d煤)绔嬬殑姊濅欢
3.鎺屾彙浜岀董鍧囧嫽鍒嗗竷锛屼簡瑙d簩缍鎱�(t脿i)鍒嗗竷鐨勬鐜囧瘑搴�锛岀悊瑙e叾涓弮鏁�(sh霉)鐨勬鐜囨剰缇�
4.鏈�(hu矛)姹傚叐鍊�(g猫)闅ㄦ(j墨)璁婇噺绨″柈鍑芥暩(sh霉)鐨勫垎甯冿紝鏈�(hu矛)姹傚鍊�(g猫)鐩镐簰鐛�(d煤)绔嬮毃姗�(j墨)璁婇噺绨″柈鍑芥暩(sh霉)鐨勫垎甯�
鍥�銆侀毃姗�(j墨)璁婇噺鐨勬暩(sh霉)瀛楃壒寰�
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闅ㄦ(j墨)璁婇噺鐨勬暩(sh霉)瀛�(xu茅)鏈熸湜锛堝潎鍊硷級銆佹柟宸�銆佹(bi膩o)婧�(zh菙n)宸強鍏舵€ц唱(zh矛)闅ㄦ(j墨)璁婇噺鍑芥暩(sh霉)鐨勬暩(sh霉)瀛�(xu茅)鏈熸湜鐭�銆佸崝(xi茅)鏂瑰樊銆佺浉闂�(gu膩n)绯绘暩(sh霉)鍙婂叾鎬ц唱(zh矛)
鑰冭│瑕佹眰
1.鐞嗚В闅ㄦ(j墨)璁婇噺鏁�(sh霉)瀛楃壒寰侊紙鏁�(sh霉)瀛�(xu茅)鏈熸湜銆佹柟宸�銆佹(bi膩o)婧�(zh菙n)宸€佺煩銆佸崝(xi茅)鏂瑰樊銆佺浉闂�(gu膩n)绯绘暩(sh霉)锛夌殑姒傚康锛屾渻(hu矛)閬�(y霉n)鐢ㄦ暩(sh霉)瀛楃壒寰佺殑鍩烘湰鎬ц唱(zh矛)锛屽苟鎺屾彙甯哥敤鍒嗗竷鐨勬暩(sh霉)瀛楃壒寰�
2.鏈�(hu矛)姹傞毃姗�(j墨)璁婇噺鍑芥暩(sh霉)鐨勬暩(sh霉)瀛�(xu茅)鏈熸湜
浜�銆佸ぇ鏁�(sh霉)瀹氬緥鍜屼腑蹇冩サ闄愬畾鐞�
鑰冭│鍏�(n猫i)瀹�
鍒囨瘮闆か锛圕hebyshev锛変笉绛夊紡鍒囨瘮闆か澶ф暩(sh霉)瀹氬緥浼姫鍒╋紙Bernoulli锛夊ぇ鏁�(sh霉)瀹氬緥杈涙锛圞hinchine锛夊ぇ鏁�(sh霉)瀹氬緥妫h帿寮�-鎷夋櫘鎷夋柉锛圖eMoivre-Laplace锛夊畾鐞嗗垪缍�-鏋楀痉浼牸锛圠evy-Lindberg锛夊畾鐞�
鑰冭│瑕佹眰
1.浜嗚В鍒囨瘮闆か涓嶇瓑寮�
2.浜嗚В鍒囨瘮闆か澶ф暩(sh霉)瀹氬緥銆佷集鍔埄澶ф暩(sh霉)瀹氬緥鍜岃緵娆藉ぇ鏁�(sh霉)瀹氬緥锛堢崹(d煤)绔嬪悓鍒嗗竷闅ㄦ(j墨)璁婇噺搴忓垪鐨勫ぇ鏁�(sh霉)瀹氬緥锛�
3.浜嗚В妫h帿寮�-鎷夋櫘鎷夋柉瀹氱悊锛堜簩闋�(xi脿ng)鍒嗗竷浠ユ鎱�(t脿i)鍒嗗竷鐐烘サ闄愬垎甯冿級鍜屽垪缍�-鏋楀痉浼牸瀹氱悊锛堢崹(d煤)绔嬪悓鍒嗗竷闅ㄦ(j墨)璁婇噺搴忓垪鐨勪腑蹇冩サ闄愬畾鐞嗭級
鍏�銆佹暩(sh霉)鐞嗙当(t菕ng)瑷�(j矛)鐨勫熀鏈蹇�
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绺介珨鍊�(g猫)楂旂啊鍠毃姗�(j墨)妯f湰绲�(t菕ng)瑷�(j矛)閲忔ǎ鏈潎鍊兼ǎ鏈柟宸拰妯f湰鐭╁垎甯冨垎甯冨垎甯冨垎浣嶆暩(sh霉)姝f厠(t脿i)绺介珨鐨勫父鐢ㄦ娊妯e垎甯�
鑰冭│瑕佹眰
1.鐞嗚В绺介珨銆佺啊鍠毃姗�(j墨)妯f湰銆佺当(t菕ng)瑷�(j矛)閲�銆佹ǎ鏈潎鍊�銆佹ǎ鏈柟宸強妯f湰鐭╃殑姒傚康
2.浜嗚В鍒嗗竷銆佸垎甯冨拰鍒嗗竷鐨勬蹇靛強鎬ц唱(zh矛)锛屼簡瑙d笂鍋�(c猫)鍒嗕綅鏁�(sh霉)鐨勬蹇靛苟鏈�(hu矛)鏌ヨ〃瑷�(j矛)绠�
3.浜嗚В姝f厠(t脿i)绺介珨鐨勫父鐢ㄦ娊妯e垎甯�
涓�銆佸弮鏁�(sh霉)浼拌▓(j矛)
鑰冭│鍏�(n猫i)瀹�
榛�(di菐n)浼拌▓(j矛)鐨勬蹇典及瑷�(j矛)閲忚垏浼拌▓(j矛)鍊肩煩浼拌▓(j矛)娉曟渶澶т技鐒朵及瑷�(j矛)娉曚及瑷�(j矛)閲忕殑瑭�(p铆ng)閬告(bi膩o)婧�(zh菙n)鍗€(q奴)闁撲及瑷�(j矛)鐨勬蹇靛柈鍊�(g猫)姝f厠(t脿i)绺介珨鐨勫潎鍊煎拰鏂瑰樊鐨勫崁(q奴)闁撲及瑷�(j矛)鍏╁€�(g猫)姝f厠(t脿i)绺介珨鐨勫潎鍊煎樊鍜屾柟宸瘮鐨勫崁(q奴)闁撲及瑷�(j矛)
鑰冭│瑕佹眰
1.鐞嗚В鍙冩暩(sh霉)鐨勯粸(di菐n)浼拌▓(j矛)銆佷及瑷�(j矛)閲忚垏浼拌▓(j矛)鍊肩殑姒傚康
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4銆佺悊瑙e崁(q奴)闁撲及瑷�(j矛)鐨勬蹇碉紝鏈�(hu矛)姹傚柈鍊�(g猫)姝f厠(t脿i)绺介珨鐨勫潎鍊煎拰鏂瑰樊鐨勭疆淇″崁(q奴)闁�锛屾渻(hu矛)姹傚叐鍊�(g猫)姝f厠(t脿i)绺介珨鐨勫潎鍊煎樊鍜屾柟宸瘮鐨勭疆淇″崁(q奴)闁�
鍏�銆佸亣瑷�(sh猫)妾㈤(y脿n)
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椤憲鎬ф椹�(y脿n)鍋囪ō(sh猫)妾㈤(y脿n)鐨勫叐椤為尟(cu貌)瑾ゅ柈鍊�(g猫)鍙婂叐鍊�(g猫)姝f厠(t脿i)绺介珨鐨勫潎鍊煎拰鏂瑰樊鐨勫亣瑷�(sh猫)妾㈤(y脿n)
鑰冭│瑕佹眰
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2.鎺屾彙鍠€�(g猫)鍙婂叐鍊�(g猫)姝f厠(t脿i)绺介珨鐨勫潎鍊煎拰鏂瑰樊鐨勫亣瑷�(sh猫)妾㈤(y脿n)
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