Implementation of compound optimal design strategy in censored life-testing experiment

Single-objective optimal designs or constraint optimal designs have widely been studied in life-testing experiment literature. However, the experiments having multiple objectives did not get relevant attention so far. Compound optimal designs are usually employed in statistical design problems where...

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Vydáno v:Test (Madrid, Spain) Ročník 29; číslo 4; s. 1029 - 1050
Hlavní autor: Bhattacharya, Ritwik
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2020
Témata:
Economics
Finance
Insurance
Management
Mathematics and Statistics
Original Paper
Statistical Theory and Methods
Statistics
Statistics for Business
Censoring
90B25
Compound optimal design
62N05
Multi-objective optimization
Cost model
Variance measure
Life-testing experiment
ISSN:1133-0686, 1863-8260
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Popis
Shrnutí:Single-objective optimal designs or constraint optimal designs have widely been studied in life-testing experiment literature. However, the experiments having multiple objectives did not get relevant attention so far. Compound optimal designs are usually employed in statistical design problems where the experiment possesses multiple goals. This article introduces the concept of compound optimal design in life-testing experiments. A graphical solution approach is developed to find the optimal design, which is easy to compute and interpret. At the end, the equivalence of the compound optimal design and the constraint optimal design has been established. The advantage of using compound optimal design over the constraint optimal design is demonstrated through one example. Finally, one real-life data set is analyzed to in life-testing experiment illustrate the applicability of the proposed approach in practice.
ISSN:1133-0686
1863-8260
DOI:10.1007/s11749-019-00699-7