This project is associated with statistical methods to find the unknown parameters of a model. It is the statistical investigation of the algorithm with respect to accuracy (the Cramer-Rao bound and L-curve technique) and optimization of the algorithmic parameters. This project aims to estimate the true temperature (final temperature) of a certain liquid in a container by using initial measurements (readings) from a temperature probe with a known time constant. Basically, the final temperature of the liquid was estimated, before the probe reached its final reading. The probe obeys a simple first-order differential equation model. Based on the model of the probe and the measurement data the estimate was calculated of the ’true’ temperature in the container by using a maximum likelihood approach to parameter estimation. The initial temperature was also investigated. Modelling, analysis, calculations, and simulations of this problem were explored.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:lnu-128369 |
| Date | January 2024 |
| Creators | Kattuparambil Sreenivasan, Sruthi, Farooqi, Simrah |
| Publisher | Linnéuniversitetet, Institutionen för fysik och elektroteknik (IFE) |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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