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Термин консултација:

четвртак 10-12

Кабинет: 222
E-mail: aleksandar.ivic@rgf.bg.ac.rs

Одабрана поглавља из Вероватноће и Статистике

О предмету

Студијски програм: Геотехника (II семестар -DOS), Рударско инжењерство (II семестар -DOS)

Назив предмета: Одабрана поглавља из Вероватноће и Статистике

Предавачи: проф. др Александар Ивић

Статус предмета: Изборни

ЕСПБ бодови: 10

Услов: Завршене основне и мастер студије рударства

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Циљ предмета: Упознавање са теоријом и праксом основних метода у разним областима Вероватноће и Статистике за потребе будућих доктора рударства

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Исход предмета: Оспособљавање студената да користе у инжењерској пракси методе из разних области Вероватноће и Статистике на нивоу доктора наука

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Садржај предмета:

Теоријска настава
Основни појмови теорије Вероватноће, класична и Лапласова дефиниција вероватноће. Дискретне и непрекидне случајне променљиве, и основне расподеле. Математичко очекивање, моменти, варијанса и коефицијент корелације. Централне граничне теореме. Расподела вишедимензионалних случајних променљивих. Дискретни и непрекидни ланци Маркова. Фуријеови редови и Фуријеова трансформација. Карактеристичне функције и функције генератрисе момената. Интегралне трансформације. Основне статистичке величине и неке расподеле статистике. Интервали поверења. Тестирање статистичких хипотеза. Анализа варијансе. Корелација и регресија, Гаусов метод најмањих квадрата. Спирманов тест корелације ранга.

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Практична настава
Израда задатака или семинарског који одговарају материјалу који се ради на предавањима.

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Литература:

  1. Sheldon M. Ross, Introduction to Probability and Statistics for Engineers and Scientists, 3rd edition, Elsevier Academic press, 2004.
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  2. Spiegel, M. R., Schaum’s outline of theory amd problems of Probability and Statistics, Schaum, 1976.
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  3. Milan Merkle, Verovatnoća i statistika za inženjere i studente tehnike, Akademska misao, Beograd, 2006
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  4. Slobodan Vujić i Aleksandar Ivić, Matematičke metode u rudarstvu i geologijи, RGF, Univerzitet u Beogradu, 1991.
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  5. Vesna Jevremović, Verovatnoća i Statistika (Matematika III), Građevinski fakulteti KRUG, Beograd, 1999.
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Фонд часова:

Предавања Вежбе Други облици наставе Студијски истраживачки рад
4 0 0 0

Метода извођења наставе: Класична метода преко табле, за неке делове курса постоје скрипта А. Ивића која студенти могу да преузму.

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