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master's thesis
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Generation of Pseudorandom Numbers
Dino Marinčić (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Probability and Mathematical Statistics Research Group
Cite this document

Marinčić, D. (2019). Generiranje pseudoslučajnih brojeva (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:428606

Marinčić, Dino. "Generiranje pseudoslučajnih brojeva." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:428606

Marinčić, Dino. "Generiranje pseudoslučajnih brojeva." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:428606

Marinčić, D. (2019). 'Generiranje pseudoslučajnih brojeva', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 22 January 2020, https://urn.nsk.hr/urn:nbn:hr:126:428606

Marinčić D. Generiranje pseudoslučajnih brojeva [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2020 January 22] Available at: https://urn.nsk.hr/urn:nbn:hr:126:428606

D. Marinčić, "Generiranje pseudoslučajnih brojeva", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:428606

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Metadata
TitleGeneriranje pseudoslučajnih brojeva
Title (english)Generation of Pseudorandom Numbers
AuthorDino Marinčić
MentorDanijel Grahovac (mentor)
Committee memberDomagoj Matijević (predsjednik povjerenstva)
Committee memberDanijel Grahovac (član povjerenstva)
Committee memberSlobodan Jelić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Probability and Mathematical Statistics Research Group)
Osijek
Defense date and country2019-06-07, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
Tema ovog rada jest generiranje pseudoslučajnih brojeva. Na početku rada predstavljamo slučajne i pseudoslučajne brojeve te generatore slučajnih i pseudoslučajnih brojeva kao i razlike medu njima. Prikaz algoritama počinjemo s Middle-square algoritmom te linearnim kongruentnim generatorom, a završavamo Mersenne Twister algoritmom. U nastavku objašnjavamo statističke testove koje koristimo za testiranje generatora pseudoslučajnih brojeva te provodimo testiranja. Zadnji dio rada bavi se problemom generiranja pseudoslučajnih brojeva iz proizvoljne distribucije. Sva programska podrška korištena u ovom radu isprogramirana je u R jeziku.
Abstract (english)
Main subject of this paper is generating pseudorandom numbers. At the begining we present random and pseudorandom numbers, as well as random number generators and pseudorandom number generators. First pseudorandom number generator we meet is Middle-square algorithm, followed by Linear congruential generator and finally Mersenne Twister algorithm. Later we present statistical tests for testing randomness of pseudorandom number generators while conducting the tests themselves. The final chapter of this paper describes inverse transform method for generating pseudorandom numbers from arbitrary distributions. Algorithms and statistical tests are programmed in R language
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:428606
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-06-10 07:26:11