Računske rešitve nekaterih problemov iz verjetnosti
diplomsko delo
Abstract
V diplomskem delu je predstavljena uporaba simulacije Monte Carlo pri reševanju nekaterih praktičnih problemov iz verjetnosti: verjetnost srečanja, problem vzporednega parkiranja, radovedna igra mata kovancev, zadrega z dežnikom in problem manjkajočih senatorjev. Uvodoma so razloženi osnovni pojmi iz teorije verjetnosti in markovskih verig, ki so potrebni za razumevanje teoretičnih rešitev predstavljenih problemov. V nadaljevanju je podrobneje opisana simulacija Monte Carlo, ki pomaga pri razumevanju praktičnih rešitev problemov. V osrednjem delu so obravnavani problemi podrobneje opisani, podane so njihove teoretične in praktične rešitve. Pri vseh primerih so ugotovitve predstavljene v primerjalnih tabelah.
Keywords
matematika;verjetnost;simulacija Monte Carlo;diplomska dela;
Data
| Language: | Slovenian |
|---|---|
| Year of publishing: | 2012 |
| Source: | Maribor |
| Typology: | 2.11 - Undergraduate Thesis |
| Organization: | UM FNM - Faculty of Natural Sciences and Mathematics |
| Publisher: | [N. Malogorski] |
| UDC: | 51(043.2) |
| COBISS: |
19026952
|
| Views: | 1782 |
| Downloads: | 113 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | English |
|---|---|
| Secondary title: | COMPUTATIONAL SOLUTIONS OF SOME PROBABILITY PROBLEMS |
| Secondary abstract: | Graduation thesis introduces the use of Monte Carlo simulation in relation to solving some practical probability problems. In order to understand theoretical solutions of the problems, basic terms of probability theory and Markov chains are explained. Furthermore, Monte Carlo simulation is described, which is helpful for understanding practical solutions. In the last part of diploma problems mentioned above are described and each is solved from theoretical and practical point of wiev. Findings of all problems are compared in spreadsheets. |
| Secondary keywords: | probability;Monte Carlo simulation; |
| URN: | URN:SI:UM: |
| Type (COBISS): | Undergraduate thesis |
| Thesis comment: | Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo |
| Pages: | 59 f. |
| Keywords (UDC): | mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika; |
| ID: | 19852 |
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