Aproksimacija očekivanja potencijskih sredina velikih uzoraka

undergraduate thesis

• Title (english): Approximation of Expectation of Large Data Power Means
• Author: Borna Rebić Taučer
• Mentor: Tomislav Burić (mentor)
• Committee member: Tomislav Burić (predsjednik povjerenstva)
• Committee member: Josipa Pina Milišić (član povjerenstva)
• Committee member: Lenka Mihoković (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2024-06-19, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Computing

Abstract

Potencijske sredine su jedne od najvažnijih klasa sredina i imaju široku primjenu u raznim područjima. Cilj ovog završnog zadatka je bio aproksimirati ta očekivanja pomoću asimptotskog razvoja potencijskih sredina za velike uzorke. U radu su prikazani izvodi matematičkih formula koje su nam bile potrebne za implementaciju zadatka. Zadatak smo implementirali u obliku aplikacije anredbenog retka koristeći programski jezik Python. Testove smo pokretali za jednoliku i normalnu razdiobu, na uzorcima različitih dimenzija i različitih sredina. Također smo testove izvrtili za najčešće korištene sredine tj. geometrijsku, harmonijsku i kvadratnu.

Abstract (english)

Power means are one of the most important classes of means and have a wide range of applications in various fields. The goal of this final task was to approximate these expectations using the asymptotic expansion of power means for large samples. The paper presents the derivatives of mathematical formulas that were necessary for implementing the task. We implemented the task in the form of a command-line application using the Python programming language. We conducted tests for uniform and normal distributions, on samples of different dimensions and different means. We also conducted tests for the most commonly used means, namely geometric, harmonic, and quadratic means.

• Keywords: potencijske sredine; očekivanje; asimptotski razvoj
• Keywords (english): power means; expectation; asymptotic expansion
• Language: croatian
• URN:NBN: urn:nbn:hr:168:205726
• Study programme: Title: Computing; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-10-12 21:59:45