15–19 Sept 2024
Leuven, Belgium
Europe/Berlin timezone

Combining profile likelihood with Bayesian estimation for the Crow-AMSAA process

18 Sept 2024, 09:00
20m
Conference room 3

Conference room 3

Stochastic Modelling Bayesian methods

Speaker

Marek Skarupski (Eindhoven University of Technology)

Description

Storage of spare parts is one of the basic tasks set by the industry. Mathematical models, such as Crow-AMSAA (known in the Statistical Literature as the Power-Law Nonhomogeneous Poisson Process), allow us to estimate the demand based on coming data. Unfortunately, the amount of data is limited in the case of parts with high reliability, which is why the estimation is inaccurate. Bayesian methods are one technique that allows you to improve the estimation quality. In this talk, we will show the application of the profile likelihood estimation method to Crow-AMSAA and the combination of this method with the Bayesian approach. We will indicate how in practice using even a small amount of data you can successfully use the model and improve the quality of estimation and prediction. We present a model analysis based on synthetic data and real data.
This research is a part of the Primavera Project partly funded by Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO) grant number NWA.1160.18.238 and co-funding from the participating consortium members.

Type of presentation Talk
Classification Both methodology and application
Keywords Crow-AMSAA model, Bayesian estimation, reliability prediction,

Primary author

Marek Skarupski (Eindhoven University of Technology)

Presentation materials

There are no materials yet.