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undergraduate thesis
10   4
Discrete Random Vector
Mia Ćurić (2016)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Probability and Mathematical Statistics Research Group
Metadata
TitleDiskretan slučajni vektor
AuthorMia Ćurić
Mentor(s)Dragana Jankov Maširević (thesis advisor)
Abstract
Tema ovog završnog rada je diskretan slučajni vektor. Prvo ćemo reći nešto općenito o slučajnim vektorima i pojasniti funkciju distribucije slučajnog vektora pomoću koje opisujemo njegova svojstva. Razlikujemo diskretan i neprekidan slučajni vektor, a mi ćemo detaljnije obraditi diskretan slučajni vektor koji poprima vrijednosti iz konačnog ili prebrojivog skupa. U radu ćemo proučavati dvodimenzionalni diskretan slučajni vektor, a poopćenja za n-dimenzionalni se mogu pronaći u dodatnoj literaturi kao što je [7]. Diskretan slučajni vektor prikazujemo u obliku tablice distribucije iz koje možemo odrediti distribucije komponenti slučajnog vektora. Obradit ćemo uvjetne distribucije diskretnog slučajnog vektora, tj. distribucije svake od komponenti slučajnog vektora s obzirom na poznatu vrijednost druge komponente tog slučajnog vektora. Također ćemo objasniti nezavisnost komponenti diskretnog slučajnog vektora, navesti kriterije za ispitivanje nezavisnosti i sve potkrijepiti primjerima. Na kraju ćemo definirati numeričke karakteristike slučajnog vektora.
KeywordsRandom vector discrete random vector cumulative distribution function of the random vector marginal distributions of the components of the discrete random vector conditional distribution of the components of the discrete random vector independent random variables numerical characteristics of the random vector covariance correlation coefficient
Parallel title (English)Discrete Random Vector
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Lower level organizational unitsChair of Pure Mathematics
Probability and Mathematical Statistics Research Group
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Study programme typeuniversity
Study levelundergraduate
Study programmeUniversity undergraduate study programme in mathematics
Academic title abbreviationuniv.bacc.math.
Genreundergraduate thesis
Language Croatian
Defense date2016-09-27
Parallel abstract (English)
The main subject of this paper is discrete random vector. First, we will say something general about random vectors and an appropriate cumulative distribution function. Random vector can be either discrete or continuous. We are going to focus on two-dimensional discrete random vector while the generalization to n-dimenzional random vector can be found in [7]. A set of all values of the discrete random vector is finite or countable. Discrete random vector can be presented by an appropriate table. From such table we can find marginal distributions of the components of the discrete random vector. In what follows, we will precisely explain conditional distributions of the components of the discrete random vector. Also, we will give different examples for discrete random vectors. At the end of this paper numerical characteristics of the discrete random vector will be defined.
Parallel keywords (Croatian)Slučajni vektor diskretan slučajni vektor funkcija distribucije slučajnog vektora tablica distribucije slučajnog vektora marginalne distribucije uvjetna distribucija nezavisnost numeričke karakteristike slučajnog vektora kovarijanca koeficijent korelacije
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:886921