Forsikringsselskaper rundt om i verden tilbyr mange ulike typer forsikringskontrakter. Disse skal gi erstatning dersom spesifikke hendelser som er spesifisert i kontraktene inntreffer. En type forsikring som er lite utbredt ...

This master thesis reviews and discusses the literature on discrete choice methods. Discrete choice modelling is an effective tool for predicting choice behavior, analyzing consumer preferences, and determining consumption ...

Fraud data often includes a dichotomous response variable with class imbalance, covariates with various marginal distributions and complex dependencies. Our goal is to predict the probability of fraud given the covariates. ...

In this thesis we are exploring the application of count time series models to time series of battle deaths. A time series of battle deaths represents the number of people killed due to intrastate conflict and/or ...

Lasso is an optimization problem that is favored by both statisticians and data scientists, and algorithms for solving it is offered in most statistical computing and machine learning software. However, new research into ...

In statistical analysis of data we are interested in understanding or estimating certain aspects of the probability distribution generating the data. The aspects we are interested in does not always relate to all the ...

Describing progression of a disease or the life history of an individual with multi-state models has been a topic of interest for many years. A challenge with these studies is that the data are often not continuously ...

A classical problem in continuous time finance is Merton’s portfolio problem. The problem was formulated and solved in 1969 by economist and Nobel prize winner Robert C. Merton. At each instant of time, a risk averse ...

In this thesis we consider a general stochastic interest rate under the HJM (Heath-Jarrow-Morton) framework. We further present a general model for the pricing of life insurance policies allowing for a wider range of ...

In this thesis, we work with empirical likelihood functions and hybrid combinations of these with parametric likelihoods. We state and prove an analogue to Wilks theorem for the empirical likelihood function. In addition, ...

In this master, we are going to generate period internal waves with two immiscible fluids and investigate the drift using PTV. The motivation is to compare to Weber and Christensen's theory on how spatial damping transfers ...

In this thesis, we present a class of parametric models based on a first-hitting time framework with Dirichlet processes for analyzing right-censored survival data. This model class has many advantages. First, parametric ...

Deep Learning (DL) has already begun to find its way into the computational scientist's toolkit, yet the amount of material on numerical analysis of these techniques is somewhat lacking. In recent years, an instability ...

Compressed sensing has roused great interest in research and many industries over the last few decades. This is because we can recover signals from vastly undersampled measurements, under certain assumptions: sparsity, ...

I nyere tid har det blitt gjennomført diverse studier på blodstrømning gjennom blodårer, hvor forskningen har blitt utført med et medisinsk perspektiv. I denne oppgaven blir også blodstrømning gjennom blodårer sett på, men ...

In regression problems, it is often of interest to assume that the relationship between a predictor variable and a response variable is monotone. In this thesis, we focus on general additive regression, in which each ...

We study models of mathematical reserves of unit-linked insurance policies with fractional volatility. Mathematical reserves are specified amounts of capital that an insurance company is legally obligated to allot to cover ...

Modeling time series and systems that exhibit an evolution in time is of interest in several fields, and one class of models that can be used for modeling such systems is state space models. One of the most common tools ...

Hyperbolic conservation laws are an important part in classical physics to be able to mathematically describe the actions of nature. To obtain approximate solutions of such problems, several numerical methods have been ...

The objective of this thesis has been the study of risk analysis and optimization under uncertainty. Theoretical aspects of several risk measures have been contemplated, and we have discussed their strengths and weaknesses. ...

Denne oppgaven undersøker effekten av skip som beveger seg over en dybdeendring. Fenomenet blir illustrert ved beregninger av mini-tsunamien i Oslofjorden. Cruiseferger som beveger seg inn i en grunnere del av fjorden ...

Lately, there has been a lot of research on using deep learning as an alternative method to solve PDEs. The major benefit is being able to solve in higher dimensions without using a full grid of mesh points. Here we try ...

Bølge responsen til en 2d elastisk plate har blitt mod- ellert som et flytende solcellepanel og studert under påvirkn- ing av periodiske overflate vannsbølger. Modellen anal- yseres med lineær bølge teori og hydrodynamikk. ...

The topic of this thesis is stochastic optimal control and reinforcement learning. Our aim is to unify the theory and language used in the two fields. The thesis presents both frameworks and discuss similarities, differences ...

The aim of this thesis is twofold. First we introduce a Hilbert-valued multi-market two-factor forward curve model satisfying the Heath-Jarrow-Morton equation. Each forward curve consist of a shared source of noise and a ...

There is a hypothesis among epidemiologists that presence of bacteria in the blood, or bacteraemia, is a risk factor for serious health conditions such as cardiovascular disease. Combine this with the fact that cardiovascular ...

We show how both Poisson regression and recurrent events models can be used to model the number of claims to expect on a car insurance policy. We also show that the same is true when these models are extended to include a ...

Utgangspunktet var å bruke uføremodellering fra historisk data fra SpareBank 1 sitt livsforsikringsselskap og knytte dette til sosioøkonomiske forklaringsvariabler. Hovedmålet var å komme frem til en modell som kunne brukes ...

Hoftebrudd innebærer brudd i lårhalsen eller i området ved den lille og store lårbensknuten. Vi vet at 70% av individer med hoftebrudd er kvinner og også at 70% av disse individene er over 70 år. I denne oppgaven er vi ...

In nested case-control and case-cohort studies of time-to-events, covariate information is collected for all individuals in the sampled cohort. Often information on some of the covariates are easily available for the entire ...

Emnet for denne oppgaven er stokastiske kontrollproblemer, der formålet er å se på de økonomiske utfordringene ved irreversible investeringer i et fluktuerende marked. T.Ø. Kobila har tidligere utviklet en kontinuerlig ...

Detecting fraud is a problem characterized by class-imbalance. The events of interest, the true fraudulent cases, are outnumbered by the legitimate ones. Rare outcomes are hard to predict accurately, and standard classifiers, ...

Several examples of use of four importance measures for repairable multistate systems. The measures are based on the classical Birnbaum reliability importance measure, and can be characterised with respect to two features. ...

We study sequences of independent observations and test whether the observations stem from the same underlying probability distribution. We focus on being able to detect a potential sudden change in the parameters of the ...

Havis dekker store havområder både nord og sør på jordkloden. Med minkende isdekke i Arktis er det viktig å tilegne seg kunnskap om hvordan havet og isen påvirker hverandre. I denne oppgaven blir bølgepropagasjon i åpent ...

Over the past decade, compressive sensing and deep learning have emerged as viable techniques for reconstruction of images using far fewer samples than what Shannon's sampling theory dictates. The two methods are fundamentally ...

Recovering signals from undersampled measurements is a well-studied topic in mathematics. During the last decade, many attempts have been made to solve this problem using machine learning, with resulting reconstruction ...

Irregular wavefield propagating from open water into water covered by an elastic sheet.

In this thesis, results from numerical simulations and experiments on drops squeezing through constricted capillaries are presented. The purpose is to understand how the capillary number changes how drops are deformed as ...

Life expectancies at birth are usually computed from period life tables, i.e. on the basis of mortality in a particular calendar year. Over the last century, there has been a worldwide decline in mortality rates at most ...

Cancer is a major public health problem worldwide where it is the second leading cause of death. To improve safety and efficacy of anti-cancer drugs with less side effects, nanoparticles (NPs) have been studied heavily. ...

Vi har sett på hvordan kinematikken i et irregulært, langkammet bølgefelt utvikler seg når bølgefeltet beveger seg over en grunne. Vi har funnet at den generelle oppførselen til skjevheten til hastighetsmålingene reflekterer ...

The timing of cardiac events is essential for the analysis of certain components of myocardial function [36]. Finding an algorithm that detects these timings has therefore been the subject of several studies[36]. In this ...

Recommender systems are algorithms that suggest content or products to users on the internet. These are becoming ever more important due to the massive growth of content on popular web sites, yet their design is often only ...

Computational fluid dynamics, with the software OpenFOAM, has ben used to investi- gate the dead water phenomenon. Investigation was done by simulating a barge moving in stratified waters. Comparison of the turbulence ...

Ventricular fibrillation (VF) occurs in ~10 % of myocardial infarction (MI) patients. These patients have higher in-hospital mortality and increased risk to lethal arrhythmias. The susceptibility for VF during acute MI and ...

The field of compressive sensing is a modern field in applied mathematics which receives a lot of attention. In this thesis, we will give some insight into the iterative algorithms used in compressive sensing. We will study ...

Modeling of the blood flow in and around aneurysms with computational fluid dynamics (CFD) is important to better understand why aneurysms form and rupture. CFD modeling requires an accurate representation of the ...

This graduate thesis has been devoted to the examination of spectral methods. The object of the research is to analyse the accuracy and precision of different numerical schemes developed on the basis of mathematical models ...

The bidomain and monodomain models describing cardiac electrophysiology are computationally demanding to solve. Employing efficient numerical methods is therefore important for the practical use of these models. In this ...

Compressed sensing is the study of solving underdetermined systems of linear equations with unique sparse solutions. In addition to this, applications of compressed sensing require that the number of rows of the measurement ...

Applying the computational fluid dynamics software openFoam, we study dead water resistance on a barge. Dead water resistance is the extra drag due to internal waves in the interface between salt water and fresh water. For ...

Conventional 2D medical ultrasound imaging is based on analyzing the backscatter (echoes) from multiple, focused, transmitted acoustic beams. Most imaging systems are very similar in the way they create and record beams. ...

Computational models of fluids, structures, and the interaction between them shows good promise in science and engineering, with nearly infinitely many applications. However, fluid-structure interaction (FSI) is poorly ...

Millions of people world wide suffer from asthma, and respiratory diseases are one of the leading causes of death. Patients can be treated or relieved by inhalation of medicine, but the efficiency of the treatment is often ...

The mechanical behavior of the heart has been modeled for decades by using continuum mechanics and numerical methods. A widely used, but rarely discussed, assumption is that inertial effects can be neglected in these models. ...

OpenFOAM and FEniCS are two solver frameworks for solving computational fluid dynamics problems. The former employs the finite volume method to discretize the governing equations, while the latter employs the finite element ...

Muscle ultrasound imaging is a convenient technique to visualize normal and pathological muscle tissue. Studying muscle fascicle pennation angle and fascicle length and their dynamic changes during contraction are important ...

In the recent decade, artificial intelligence and machine learning has become increasingly popular for solving complex real-world problems. In particular problems which was believed to be very hard or in some cases impossible ...

Parametric representations of surfaces in Computer-Aided Geometric Design (CAGD) are often based on connected patches with rectangular parameter domains. Given a loop of four space curves and normal-derivative curves, we ...

This thesis investigates the appliance of the finite element method to long wave propagation in channels. Weak formulations of potential- and velocity based Boussinesq equations were derived, with the normal dependent ...

In this thesis results from numerical simulations of long wave run-up on composite beaches are presented along with the analytical solution to the linear problem. The purpose of this study is to find out which parts of the ...

CFD analysis of a cone grid applied to a flat plate, with mesh generation script.

The aim of this thesis is to study the convergence and smoothness of certain nonlinear interpolatory curve subdivision schemes. The emphasis will be on the iterated geometric schemes, which are extensions of the nonlinear ...

This master thesis presents a laboratory investigation of wave slamming forces on a vertical cylinder in deep and intermediate water. The technique of frequency focusing of the incoming wave field allows for generation of ...

We have used the level - set function to divide a computational domain into a solid region and a fluid region to create an idealized model of blood flow in narrow cerebral arteries to simulate the mechanotransduction in ...

This thesis presents an experimental investigation on the occurrence of freak waves in a bimodal sea. The bimodal sea consisted of two wave systems traveling in the same direction, with different peak frequencies f_{Pj} ...