Archive:: Science Journal of Applied Mathematics and Statistics:: Science Publishing Group

Volume 3, Issue 1, February 2015

Linear Regression, Fundamental Issue in Training and Application of Engineering

Luz Elva Marín Vaca, Martha Lilia Domínguez Patiño, Nadia Lara Ruiz, Miguel Aguilar Cortes

Issue: Volume 3, Issue 1, February 2015

Pages: 1-5

Received: 9 December 2014

Accepted: 19 December 2014

Published: 20 January 2015

DOI: 10.11648/j.sjams.20150301.11

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Abstract: In this paper the impact on student learning in teaching linear regression and correlation analyzes, making use of new information technologies (ICT) to support Project Descartes through tasks; that allow students to research results type of scatterplot equation of the line, analysis determining prognostic variables. To conduct this research took i... Show More

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A Power Law Extrapolation – Interpolation Method for IBNR Claims Reserving

Werner Hürlimann

Issue: Volume 3, Issue 1, February 2015

Pages: 6-13

Received: 13 January 2015

Accepted: 22 January 2015

Published: 2 February 2015

DOI: 10.11648/j.sjams.20150301.12

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Abstract: To calculate claims reserves more frequently than the usual yearly periods for which ultimate loss development factors are available, it is necessary to perform an extrapolation prior to the time marking the end of the first development year and an interpolation for each successive development year. A simple power law extrapolation – interpolation ... Show More

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Estimating Default Correlations Using Simulated Asset Values

Osei Antwi, Dadzie Joseph, Louis Appiah Gyekye

Issue: Volume 3, Issue 1, February 2015

Pages: 14-21

Received: 7 January 2015

Accepted: 21 January 2015

Published: 2 February 2015

DOI: 10.11648/j.sjams.20150301.13

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Abstract: We outline the ingredients necessary to compute the Joint Default Probability from which we obtain Default Correlation, an important risk quantity in the determination of Internal Rating Based Approach in Basel II and III documents on banking supervision and regulations. We discuss Merton’s structural approach of which one key drawback is the diffi... Show More

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The Common Principal Component (CPC) Approach to Functional time Series (FTS) Models

Farah Yasmeen

Issue: Volume 3, Issue 1, February 2015

Pages: 22-26

Received: 11 January 2015

Accepted: 1 February 2015

Published: 9 February 2015

DOI: 10.11648/j.sjams.20150301.14

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Abstract: The functional time series (FTS) models are used for analyzing, modeling and forecasting age-specific mortality rates. However, the application of these models in presence of two or more groups within similar populations needs some modification. In these cases, it is desirable for the disaggregated forecasts to be coherent with the overall forecast... Show More

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