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  1. 1. Exploring the Impact of Pseudo and Quasi Random Number Generators on Monte Carlo Integration of the Multivariate Normal Distribution

    University essay from Lunds universitet/Statistiska institutionen

    Author : Marcus Stolz; Jonathan Christopher; [2024]
    Keywords : Monte Carlo integration; Quasi monte carlo integration; Random number generation; Mathematics and Statistics;

    Abstract : This thesis examines the effects of pseudo and quasi-random number generators on the accuracy and efficiency of Monte Carlo Integration in the case of the multivariate normal distribution. The study compares the performance of the Mersenne Twister (a pseudo-random number generator) with Sobol and Halton sequences (quasi-random number generators). READ MORE

  3. 2. Geometry of high dimensional Gaussian data

    University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Olof Samuel Mossberg; [2024]
    Keywords : HDLSS; high dimensional data; stochastic boundedness; asymptotic orthogonality; geometry; multivariate normal distribution; HDLSS; högdimensionell data; stokastisk begränsning; asymptotisk ortogonalitet; geometri; multivariat normalfördelning;

    Abstract : Collected data may simultaneously be of low sample size and high dimension. Such data exhibit some geometric regularities consisting of a single observation being a rotation on a sphere, and a pair of observations being orthogonal. This thesis investigates these geometric properties in some detail. READ MORE

  4. 3. Using search based methods for beamforming

    University essay from Uppsala universitet/Avdelningen för systemteknik

    Author : Adam Bergman Karlsson; [2024]
    Keywords : Beamforming; Artificial Intelligence; AlphaZero; Radio Resource Management; Monte Carlo Tree Search;

    Abstract : In accommodating the growing global demand for wireless, Multi-User Multiple-Input and Multiple-Output (MU-MIMO) systems have been identified as the key technology. In such systems, a transmitting basestation serves several users simultaneously, increasing the network capacity. READ MORE

  5. 4. Indocyanine-green fluorescence imaging to detect anastomotic insufficiency after esophagectomy

    University essay from Lunds universitet/Fysiska institutionen; Lunds universitet/Förbränningsfysik

    Author : Love Kildetoft; [2024]
    Keywords : Fluorescence; Imaging; Indocyanine-green; ICG; Esophageal cancer; Physics; Photonics; Image Analysis; Blood Perfusion; Anastomotic leakage; Anastomotic insufficiency; Physics and Astronomy;

    Abstract : This research project is concerned with the development of simulation models and image analysis algorithms, as well as instrumentation for characterizing anastomotic leakages after a patient has undergone surgery for esophageal cancer. Anastomotic leakage is a high-incidence complication after esophagectomy, a surgical procedure for esophageal cancer. READ MORE

  6. 5. Covered Call on an Index - A Comparative Study of Two Strategies

    University essay from Göteborgs universitet/Graduate School

    Author : Karin Carlsson; [2023-06-29]
    Keywords : Index Options; Covered Calls; Monte Carlo; Utility;

    Abstract : This thesis undertakes a comparative analysis of two ways of performing a covered call strategy on a dual asset index. The distinguishing factor between the two approaches pertains to the writing of the call options, where one approach involves writing the call option on the entire index, while the other involves writing options on each asset within the index separately. READ MORE