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Counterparty Credit Exposure in Interest Rate Derivatives - Investigating the Effect of Collateralization
(Master thesis, 2019)Denne rapporten omhandler bruken av en stokastisk rentemodell, basert på LIBOR market models (LMM), til å bestemme prisen til rentederivater, samt risikoen assosiert ved derivatene. Etter å ha etablert grunnleggende konsept ... -
Counting and Coloring with Symmetry: A presentation of Polya's Enumeration Theorem with Applications
(Master thesis, 2009)This master's thesis explores the area of combinatorics concerned with counting mathematical objects with regards to symmetry. Two main theorems in this field are Burnside's Lemma and P'{o}lya's Enumeration Theoremfootno ... -
Counting Points on Elliptic Curves
(Master thesis, 2010)In this paper we present the first efficient point counting algorithm due to Schoof, before giving a significant improvement due to Elkies. In the final section I give Satoh's algorithm which is even faster and has paved ... -
Covering theorems in analysis and their applications
(Master thesis, 2017)In this thesis, we study three classical covering results in analysis; the Vitali covering lemma, the Besicovitch covering lemma and the Vitali covering theorem. We exploit the ordering structure of the real line to obtain ... -
Cramér-von Mises tests for change points
(Journal article; Peer reviewed, 2021)We study two nonparametric tests of the hypothesis that a sequence of independent observations is identically distributed against the alternative that at a single change point the distribution changes. The tests are based ... -
Credit Risk Modelling with Expected Shortfall - A Simulation-based Portfolio Analysis
(Master thesis, 2016)The Basel Committee's minimum capital requirement function for banks' credit risk is based on a risk measure called Value at Risk (VaR). This thesis performs a statistical and economic analysis of the consequences of ... -
Cronus: Everlasting Privacy with Audit and Cast
(Journal article; Peer reviewed, 2019)We present a new online voting scheme with everlasting privacy and cast-as-intended verifiability. We follow the so called “audit-and-cast” paradigm where the voter audits the ballot before casting it. To mitigate the ... -
Cryptographic Analysis of Voting Systems
(Master thesis, 2013)Coercion-resistance is defined and used to analyze/discuss the voting systems Civitas and the Norwegian Voting Protocol. Pret a Voter is described both in a real and an ideal case, and analysis of these cases regarding ... -
Cryptographic Protocols from Lattice Assumptions
(Bachelor thesis, 2022)Bachelor oppgåva vil introdusera to gitter-problem, learning with errors (LWE) and shortest integer solution (SIS), som sikkerheten til gitter-kryptografi baserer seg på. LWE og SIS var introdusert av henholdsvis Oded Regev ... -
Cryptographic Tools for Cloud Security
(Doctoral theses at NTNU;2021:126, Doctoral thesis, 2021) -
Cryptographically Private Linear Regression
(Master thesis, 2021)Maskinlæring og stordatabehandling er viktige tema i den digitale verden, men her finnes det ufordringer med å holde dataene privat. I denne teksten skal vi se på hvordan en kan bruke homomorf kryptering for å holde både ... -
Cryptography for Blockchains
(Doctoral theses at NTNU;2022:253, Doctoral thesis, 2022) -
Cue identification in phenology: A case study of the predictive performance of current statistical tools
(Journal article; Peer reviewed, 2019)1. Changes in the timing of life‐history events (phenology) are a widespread consequence of climate change. Predicting population resilience requires knowledge of how phenology is likely to change over time, which can be ... -
Cumulants in Non-commutative:Probability via Hopf Algebras
(Doctoral theses at NTNU;2022:370, Doctoral thesis, 2022)The notion of cumulants plays a significant role in the combinatorial study of noncommutative probability theory. In this thesis, we study several problems associated with the notions of cumulants for free, Boolean and ... -
Cumulants, free cumulants and half-shuffles
(Peer reviewed; Journal article, 2015)Free cumulants were introduced as the proper analogue of classical cumulants in the theory of free probability. There is a mix of similarities and differences, when one considers the two families of cumulants. Whereas the ... -
Current profile analysis and extreme value prediction in the LH11-1 oil field of the South China Sea based on prototype monitoring
(Journal article; Peer reviewed, 2018)Current is a key ocean-environmental factor and exhibits strong non-stationary random characteristics. The complexities of current modeling present significant challenges for deep sea oil exploitation. The multiyear return ... -
Cut finite element methods for modeling excitable cells
(Master thesis, 2022)EMI (Ekstracellulær-Membran-Intracellulær) modellen beskriver elektrisk aktivitet i hjerneceller, og representerer både de ekstracellulære og intracellulære områdene og cellemembranen eksplisitt. Modellen kobler et system ... -
Cut finite element methods for partial differential equations on moving domains
(Master thesis, 2022)Når kompliserte fysiske fenomener innenfor forskning og ingeniørvitenskap undersøkes, er modellering med partielle differensialligninger (PDE-er) nærmest uunngåelig. Et vidt utvalg av fysiske problemer omhandler hvordan ... -
Cyclicity in the Drury-Arveson space and other weighted Besov spaces
(Peer reviewed; Journal article, 2023) -
Cylindrical hidden Markov random field models with applications to ocean surface currents
(Master thesis, 2020)Observasjoner av overflatestrømmer i havet gir opphav til romlige sylindriske data, som er bivariate representasjoner av en lineær styrke og en sirkulær vinkel. For å kunne analysere disse dataene utvikler vi en skjult ...