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DC Field | Value | Language |
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dc.date.accessioned | 2022-03-14T11:44:32Z | - |
dc.date.available | 2022-03-14T11:44:32Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Bonello, E. (2010). Maximum likelihood estimation in a Gompertzian stochastic model for salaries (Bachelor's dissertation). | en_GB |
dc.identifier.uri | https://www.um.edu.mt/library/oar/handle/123456789/91297 | - |
dc.description | B.SC.(HONS)STATS.&OP.RESEARCH | en_GB |
dc.description.abstract | This thesis discusses the parameter estimation of a homogeneous stochastic Gompertz diffusion model. This study can be divided into three main parts. In the first part we give an introduction to stochastic calculus. This will give us important theoretical results which will be used in the remaining sections. In the second part we derive the transition probability density function from the corresponding stochastic differential equation and Kolmogorov equation. With this density function in hand, in the third and final part we discuss the maximum likelihood method for estimating parameters. First we apply this methodology on simulated data with known parameters. The estimates obtained are then compared with those used in the simulation. Finally we apply this method to our data, which is the average salary per worker per year for the period 1970 till 2008. | en_GB |
dc.language.iso | en | en_GB |
dc.rights | info:eu-repo/semantics/restrictedAccess | en_GB |
dc.subject | Stochastic processes | en_GB |
dc.subject | Stochastic differential equations | en_GB |
dc.subject | Parameter estimation | en_GB |
dc.subject | Wage payment systems | en_GB |
dc.title | Maximum likelihood estimation in a Gompertzian stochastic model for salaries | en_GB |
dc.type | bachelorThesis | en_GB |
dc.rights.holder | The copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder. | en_GB |
dc.publisher.institution | University of Malta | en_GB |
dc.publisher.department | Faculty of Science. Department of Statistics and Operations Research | en_GB |
dc.description.reviewed | N/A | en_GB |
dc.contributor.creator | Bonello, Edward (2010) | - |
Appears in Collections: | Dissertations - FacSci - 1965-2014 Dissertations - FacSciSOR - 2000-2014 |
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File | Description | Size | Format | |
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B.SC.(HONS)STATISTICS_Bonello_Edward_2010.pdf Restricted Access | 3.21 MB | Adobe PDF | View/Open Request a copy |
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