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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Bibliographic Details
Published in:Test (Madrid, Spain) Vol. 29; no. 4; pp. 1029 - 1050
Main Author: Bhattacharya, Ritwik
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2020
Subjects:
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
Online Access:Get full text
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Summary: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