Mastergradsoppgaver i teknologi - industriell matematikk
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Overlevelsesanalyse med tidsavhengige forklaringsvariabler med bruk av Cox proporsjonal hasard regresjonsmodell
(Master thesis; Mastergradsoppgave, 2015-12-15)I denne mastergradsoppgaven ble det brukt overlevelsesanalyse med tidsavhengige variabler til å estimere en Cox proporsjonal hasard regresjonsmodell. Variablene stammet fra forskningsprosjektet ''Kvinner og kreft'' (The Norwegian Women and Cancer post genome cohort study - NOWAC) ved universitetet i Tromsø og besto av 57 561 kvinner. Modellen ble brukes til lage en modell av hasard raten til kvinnene ... -
The formation of optical shocks for paraxial pulses propagating in weakly nonlinear and weakly dispersive materials
(Master thesis; Mastergradsoppgave, 2014-06-02)In this thesis leading order asymptotic equations describing the propagation of approximately paraxial pulses in a weakly nonlinear and weakly dispersive medium are derived using the method of multiple scales, and the formation of optical shocks in the nondispersive, purely paraxial case is investigated. How the state of polarization influences the shock have in particularly been looked in to. -
Discrimination of cod otolith shapes by two different Fourier methods
(Master thesis; Mastergradsoppgave, 2013-12-16)In this thesis we have applied Fisher’s discrimination method to cod samples to discriminate between cod originating from the coastal cod stock and cod originating from the arctic cod stock. The discrimination is based on Fourier coefficients extracted from cod otolith contours. We have optimized and compared two different Fourier methods of extracting these coefficients. These methods are evaluated ... -
Empirisk analyse og stokastisk modellering av temporale fluktuasjoner i den norske pengemarkedsrenta
(Master thesis; Mastergradsoppgave, 2010-06-01)I denne oppgaven analyserer vi den norske pengemarkedsrenta NIBOR (3 mnd). Vi fokuserer spesielt p\aa\ modeller som beskriver den karakteristiske potenslovskaleringen vi ser i data. Eksempler p\aa\ slike modeller er stabile L\'{e}vy-prosesser, trunkerte stabile L\'{e}vy-prosesser og multifraktale prosesser. Vi finner at modellen Markov Switching Multifractal gjenskaper de viktigste strukturelle ... -
Multi-fractal stochastic modeling of the auroral electrojet index
(Master thesis; Mastergradsoppgave, 2009-12-15)In this thesis we have analyzed the Auroral Electrojet (AE) Index over the years 2000 to 2005, a time series consisting of over 3 000 000 data points. The aim is to describe this data as a multi-fractal stochastic process. We first introduce a class of random multiplicative measures, which provide the multi-fractality in the stochastic processes that will be defined later. We also review the ... -
Two models of population genetics
(Master thesis; Mastergradsoppgave, 2008-06-02)The production of proteins in a cell is a regulated process. This means that the cell will only produce a type of protein when that type is needed. A fundamental step where this regulation occurs is at gene transcription. It is observed that transcription is regulated differently for different genes, and the question is therefore asked: why has evolution come up with different modes of transcriptional ... -
Large eddy simulation of homogeneous isotropic turbulence
(Master thesis; Mastergradsoppgave, 2008-06-02)The theme for the master thesis is simulation of homogeneous, isotropic turbulence. I have shown that the energy of the velocity field is decaying in time, but the comparison to the reference solution is however invalid, due to the fact that the reference solution may have scalings that are not obvious to the observer, and that my own simulation results seemed to behave quite strange, with a sudden ...