Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/308575 
Erscheinungsjahr: 
2023
Quellenangabe: 
[Journal:] Statistical Papers [ISSN:] 1613-9798 [Volume:] 64 [Issue:] 4 [Publisher:] Springer [Place:] Berlin, Heidelberg [Year:] 2023 [Pages:] 1159-1186
Verlag: 
Springer, Berlin, Heidelberg
Zusammenfassung: 
We consider two models for estimating the expected states of nodes in networks where the observations at nodes are given by random states and measurement errors. In the first model, we assume independent successive observations at the nodes and the design question is how often the nodes should be observed to obtain a precise estimation of the expected states. In the second model, all nodes are observed simultaneously and the design question is to determine the nodes which need larger precision of the measurements than other nodes. Both models lead to the same design problem. We derive explicitly A -optimal designs for the most simple network with star configuration. Moreover, we consider the network with wheel configuration and derive some conditions which simplify the numerical calculation of the corresponding A -optimal designs.
Schlagwörter: 
A-optimal designs
Random state models
Network analysis
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