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master's thesis
Točkovni procesi i njihove karakteristike
2020. urn:nbn:hr:166:655681
Dujmović, Dijana
University of Split
University of Split, Faculty of science
Department of Mathematics

Cite this document

Dujmović, D. (2020). Točkovni procesi i njihove karakteristike (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:655681

Dujmović, Dijana. "Točkovni procesi i njihove karakteristike." Master's thesis, University of Split, University of Split, Faculty of science, 2020. https://urn.nsk.hr/urn:nbn:hr:166:655681

Dujmović, Dijana. "Točkovni procesi i njihove karakteristike." Master's thesis, University of Split, University of Split, Faculty of science, 2020. https://urn.nsk.hr/urn:nbn:hr:166:655681

Dujmović, D. (2020). 'Točkovni procesi i njihove karakteristike', Master's thesis, University of Split, University of Split, Faculty of science, accessed 18 May 2022, https://urn.nsk.hr/urn:nbn:hr:166:655681

Dujmović D. Točkovni procesi i njihove karakteristike [Master's thesis]. Split: University of Split, University of Split, Faculty of science; 2020 [cited 2022 May 18] Available at: https://urn.nsk.hr/urn:nbn:hr:166:655681

D. Dujmović, "Točkovni procesi i njihove karakteristike", Master's thesis, University of Split, University of Split, Faculty of science, Split, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:166:655681

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Metadata
TitleTočkovni procesi i njihove karakteristike
Title (english)Point processes and their characteristics
AuthorDijana Dujmović
MentorSnježana Braić (mentor)
MentorVesna Gotovac (komentor)
Committee memberSnježana Braić (predsjednik povjerenstva)
Committee memberVesna Gotovac Đogaš (član povjerenstva)
Committee memberJelena Pleština (član povjerenstva)
GranterUniversity of Split
University of Split, Faculty of science
(Department of Mathematics)
Split
Defense date and country2020-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Razni događaji i pojave u svijetu se mogu prikazati pomoću točkovnih procesa, a motivacija za njihovu analizu se krije u želji za otkrivanjem veza izmedu tih točaka. Analiziranjem konkretnih točkovnih uzoraka se može doći do važnih zaključaka koji su presudni za razumijevanje pojedinih dijelova raznih znanosti. Na jednostavan način su definirani točkovni procesi, njihova distribucija i primjena. Nadalje, definirani su binomni i Poissonov točkovni proces kao dva osnovna primjera. Kroz simulacije su prikazane razlike između dva spomenuta primjera, te par njihovih različitih grafičkih prikaza. Karakteristike točkovnih procesa kao što su intenzitet i K-funkcija daju bolji uvid u podatke opisane točkovnihm procesom. U ovom radu su objašnjeni najosnovniji pojmovi i primjeri primjene točkovnih procesa, kao što je primjena kod testiranja Poissonove hipoteze.
Abstract (english)
Various events and phenomena in the world can be represented by point processes, and the motivation for their analysis lies in the desire to discover the connections between these points. By analyzing specific point patterns, important conclusions can be reached that are crucial for understanding individual parts of various sciences. Point processes, their distribution and application are defined in a simple way. Furthermore, the binomial and Poisson point processes are defined as two basic examples. Through the simulations, the differences between the two mentioned examples are shown, and a couple of their different graphical representations as well. The characteristics of point processes such as intensity and K-function give a better insight into the data described by the point process. This thesis explains the most basic concepts and examples of the application of point processes, such as the application in testing the Poisson hypothesis.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:655681
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in computing
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 useLicence Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) icon
Created on2021-02-02 17:13:08