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Preservation of multiple first integrals in partial differential equations
(Master thesis, 2017)A wide variaty of partial differential equations have preserved entities like invariants and first integrals. In this thesis we will go into theory regarding preservation of such first integrals. Finally we will have the ... -
Preservation of the mean residual life order for coherent and mixed systems
(Journal article; Peer reviewed, 2019)The signature of a coherent system has been studied extensively in the recent literature. Signatures are particularly useful in the comparison of coherent or mixed systems under a variety of stochastic orderings. Also, ... -
Preserving projection properties when regular two-level designs are blocked
(Master thesis, 2018)The main finding is that by allowing blocks to be partially confounded with interactions, the projectivity was increased for all the designs which were tested, compared to the usual recommended blocking based on confounding ... -
Preserving projection properties when regular two-level designs are blocked
(Peer reviewed; Journal article, 2022)Regular two-level designs are useful and popular screening designs, but if they need to be run in blocks, their projection properties can dramatically deteriorate. Interactions may be fully confounded with block defining ... -
Pricing a Bermudan Swaption using the LIBOR Market Model: A LSM approach
(Master thesis, 2008)This study will focus on the pricing of interest rate derivatives within the framework of the LIBOR Market Model. First we introduce the mathematical and financial foundations behind the basic theory. Then we give a rather ... -
Pricing Asian Options by Numerical Path Integration with Advanced Lévy Dynamics
(Master thesis, 2018)In this thesis I combine the strengths of the Path Integration method and the Fast Fourier transform to price discretely monitored, path dependent, fixed strike Asian options in a fast and accurate manner. The presented ... -
Pricing European Options with Lévy Market Models and Deep Learning
(Master thesis, 2019)I denne oppgaven har fem Lévy-modeller og et kunstig nevralt nettverk blitt implementert for å sammenligne prising av europeiske kjøpsopsjoner mot den geometrisk brownske bevegelsesdynamikken i Black-Scholes-formelen. ... -
Pricing Exotic Options with the Normal Inverse Gaussian Market Model using Numerical Path Integration
(Master thesis, 2009)Compare the Normal Inverse Gaussian market model against empirical financial market data, and price exotic options using the numerical path integration approach. -
Pricing of Lookback Options with NIG and VG Dynamics, using the Numerical Path Integration Method.
(Master thesis, 2009)In this thesis we explore the use of the Normal Inverse Gaussian (NIG) and the Variance Gamma (VG) distribution to model stock returns. We compare the NIG market model and the VG market model with historical financial data, ... -
The Prime Number Theorem and Riemann's Zeta Function
(Master thesis, 2014)We give a proof of the Prime Number Theorem using the Riemann zeta function. After establishing the analytical tools required, we approach the main result. We derive an asymptotic formula with error terms for the growth ... -
A Primer on Coorbit Theory
(Peer reviewed; Journal article, 2021)Coorbit theory is a powerful machinery that constructs a family of Banach spaces, the so-called coorbit spaces, from well-behaved unitary representations of locally compact groups. A core feature of coorbit spaces is that ... -
Primes In Arithmetic Progressions And Semidefinite Programming
(Journal article; Peer reviewed, 2021)Assuming the generalized Riemann hypothesis, we give asymptotic bounds on the size of intervals that contain primes from a given arithmetic progression using the approach developed by Carneiro, Milinovich and Soundararajan ... -
Primtall i aritmetiske følger
(Master thesis, 2010)I denne oppgaven ser vi på primtallene og hvordan disse forekommer i aritmetiske følger. Tallteori og gruppeteori brukes sammen med kongurenser for å undersøke Dirichletkarakterene. Disse brukes som et grunnlag for å bevise ... -
Primtallsteoremet og zetafunksjonen
(Master thesis, 2013)I denne oppgaven ser jeg på hvordan primtallene er distribuert asymptotisk. Riemanns zetafunksjon er nært knyttet til dette og den defineres først ved hjelp av en Dirichletrekke. Videre utvides definisjonen ved å bruke ... -
Prior construction for discrete Markov models
(Doctoral thesis at NTNU;2015:210, Doctoral thesis, 2015) -
Prior specification for binary Markov mesh models
(Journal article; Peer reviewed, 2019)We propose prior distributions for all parts of the specification of a Markov mesh model. In the formulation, we define priors for the sequential neighborhood, for the parametric form of the conditional distributions and ... -
Privacy Preserving Computation with Fully Homomorphic Encryption
(Master thesis, 2021)Målet med denne oppgaven er å vise hvordan personvernbevarende beregninger kan oppnås gjennom homomorf kryptering. Oppgaven utforsker BGV-kryptosystemet og hvordan det kan brukes til å beregne vilkårlige polynomer på data. ... -
Privacy Preserving Encryption and Machine Learning
(Master thesis, 2023)Målet med denne oppgaven er å undersøke hvordan vi kan bruke homomorf kryptering med maskinlæring. Vi utforsker det homomorfe krypteringssystemet CKKS som fungerer for aritmetikk med omtrentlige tall. Deretter diskuterer ... -
Privacy Preserving Protocals and Security Proof Techniques
(Doktoravhandlinger ved NTNU, 1503-8181; 2009:160, Doctoral thesis, 2009) -
Privacy-Preserving Cryptographic Protocols
(Doktoravhandlinger ved NTNU, 1503-8181; 2012:179, Doctoral thesis, 2012)