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This chapter addresses the estimation of linear extension of the Yule process (LEYP) parameters from observation data related to a sample of technical objects. Estimating LEYP parameters from an either actual or synthetic dataset involves the implementation of computer code, the complexity of which may be a source of potential errors, both numerical and algorithmic. In order to ensure the validity of the code, it is advisable to generate a synthetic dataset from known LEYP parameters, then to carry out the coded estimation procedure, and check that the obtained estimates are reasonably close to the theoretical estimates. As this code validation method involves the ability to generate a synthetic LEYP compliant dataset, the chapter provides a formula for the theoretical distribution of inter‐event times. The model goodness‐of‐fit can be globally assessed by graphically comparing the empirical and theoretical failure rates averaged over the sample of objects, and plotted against age.
This chapter addresses the estimation of linear extension of the Yule process (LEYP) parameters from observation data related to a sample of technical objects. Estimating LEYP parameters from an either actual or synthetic dataset involves the implementation of computer code, the complexity of which may be a source of potential errors, both numerical and algorithmic. In order to ensure the validity of the code, it is advisable to generate a synthetic dataset from known LEYP parameters, then to carry out the coded estimation procedure, and check that the obtained estimates are reasonably close to the theoretical estimates. As this code validation method involves the ability to generate a synthetic LEYP compliant dataset, the chapter provides a formula for the theoretical distribution of inter‐event times. The model goodness‐of‐fit can be globally assessed by graphically comparing the empirical and theoretical failure rates averaged over the sample of objects, and plotted against age.
LEYP Likelihood and Inference
Le Gat, Yves (author)
2015-12-30
15 pages
Article/Chapter (Book)
Electronic Resource
English
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