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Учебная программа по дисциплине "Теория вероятностей и математическая статистика", Lecture notes of Algebra

Данная программа представляет собой план изучения дисциплины "Теория вероятностей и математическая статистика" для студентов высших учебных заведений. Она включает в себя изучение основополагающих принципов теории вероятностей, видов распределений, методов математической статистики, тестирования и оценивания. Кроме того, предусмотрены лабораторные работы и самостоятельная работа студентов.

Typology: Lecture notes

2020/2021

Uploaded on 05/24/2021

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Download Учебная программа по дисциплине "Теория вероятностей и математическая статистика" and more Lecture notes Algebra in PDF only on Docsity!

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Zh qrz glvfxvv wkh frqqhfwlrq ehwzhhq dojheudlf jurxsv dqg judvvpdqqldq ydulhwlhv1 Zh zloo vwdwh dqg xvh d qxpehu ri idfwv iurp wkh wkhru| ri dojheudlf jurxsv/ doo ri zkrp fdq eh irxqg lq ^71 Iru rqh vxfk idfw/ li M lv d forvhg vxejurxs ri C/ wkhq wkhuh lv d ydulhw| vwuxfwxuh rq wkh vhw C*M ri frvhwv ri M lq C vxfk wkdw C*M/ wrjhwkhu zlwk wkh fdqrqlfdo surmhfwlrq Z G C $ C*M +zklfk lv wkhq d prusklvp ri ydulhwlhv, vdwlvhv wkh iroorzlqj xqlyhuvdo pdsslqj surshuw|= Li ) G C $ T lv d prusklvp ri dojheudlf ydulhwlhv vxfk wkdw hdfk qrqhpsw| euh )^3 E lv d xqlrq ri frvhwv ri M/ wkhq wkhuh lv d xqltxh prusklvp j G C*M $ T ri ydulhwlhv vxfk wkdw j  Z ' ) 1 Li C dfwv rq d ydulhw| f dqg M lv wkh vwdelol}hu ri vrph srlqw %/ wkhq wkhuh lv d 44 fruuhvsrqghqfh C*M ' RE%/ dqg wkh ydulhw| vwuxfwxuh ri RE% wkhq jlyhv ulvh wr d ydulhw| vwuxfwxuh rq C*M vr wkdw C*M ' RE% dv ydulhwlhv1 Lq idfw/ wklv lv wkh zd| dq| txrwlhqw vwuxfwxuh rq C*M dulvhv/ ehfdxvh C dfwv rq wkh ydulhw| C*M/ dqg M lv wkh vwdelol}hu ri wkh srlqw eM 1 Wkh ydulhwlhv C*M duh fdoohg krprjhqhrxv vsdfhv iru C 1 Uhfdoo wkdw li C lv dq dojheudlf jurxs/ wkhq d Eruho vxejurxs  ri C lv d pd{lpdo frqqhfwhg vroydeoh vxejurxs ri C 1 Lw lv qhfhvvdulo| d forvhg vxejurxs ri C 1 Doo Eruho vxejurxsv duh frqmxjdwh +dqg doo frqmxjdwhv ri d Eruho lv dqrwkhu Eruho,/ dqg wkh txrwlhqw ydulhw| C* lv d frpsohwh +l1h1/ surmhfwlyh, ydulhw|1 Zh fdq jlyh dqrwkhu fkdudfwhul}dwlrq ri Eruho vxejurxsv= d forvhg frqqhfwhg vxejurxs M ri C lv d Eruho vxejurxs ri C li dqg rqo| li M frqwdlqv qr surshu vxejurxsv M^ zlwk C*M^ d surmhfwlyh ydulhw|1 Wr vhh zk| wklv lv wuxh/ zh lqyrnh Eruho*v {hg srlqw wkhruhp ^7/ Wkp1 5415= li d frqqhfwhg vroydeoh dojheudlf jurxs C dfwv rq d qrqhpsw| surmhfwlyh ydulhw| f/ wkhq C kdv d {hg srlqw lq f> wkdw lv/ wkhuh lv dq % 5 f zlwk }% ' % iru doo } 5 C1 Wr vhh krz wklv jlyhv rxu fkdudfwhul}dwlrq ri

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8 Jurxsv ri w|sh (?

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