Problem nemških tankov : delo diplomskega seminarja

Pozne, Jaša (author), Bernik, Janez (mentor), Šega, Gregor (comentor)

Diploma pojasnjuje matematičen vidik znamenitega Problema nemških tankov. Po povzetku zgodovinskega ozadja tega problema, se delo loči na dva pristopa analize. Prvi del je frekventistični. V njem sta prikazani izpeljavi formul z znanim in neznanim minimumom. Smiselnost formule z znanim minimumom se potrdimi s pomočjo simulacij. Drugi del pa Bayesov. Tukaj nastopi le izpeljava s pomočjo analize.

• Language: Slovenian
• Keywords: Problem nemških tankov, frekventistični pristop, formula z znanim minimumom, formula z neznanim minimumom, simulacije, linearna regresija, Bayesov pristop.
• Work type: Final seminar paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2023
• PID: 20.500.12556/RUL-148432
• UDC: 519.2
• COBISS.SI-ID: 162055171
• Publication date in RUL: 23.08.2023

Secondary language

• Language: English
• Title: German tank problem

Abstract

This thesis explains the mathematical aspect of the famous German Tank Problem. After summarising the historical background of this problem, the thesis divides into two approaches of analysis. The first part is frequentist. It shows the derivations of the formulas with known and unknown minima. The meaningfulness of the formula with a known minimum is confirmed by means of simulations. The second part is Bayesian. Here, only the derivation by analysis is done.

• Keywords: German tank problem, frequentist approach, known minimum formula, unknown minimum formula, simulations, linear regression, Bayesian approach.