TY  - JOUR
A1  - Haselgruber, Nikolaus
A1  - Mautner, Karin
A1  - Thiele, Jan
T1  - Usage Space Analysis for Reliability Testing
JF  - Quality and Reliability Engineering International
N2  - During the development process of a complex technical product, one widely used and important technique is accelerated testing where the applied stress on a component is chosen to exceed the reference stress, i.e. the stress encountered in field operation, in order to reduce the time to failure. For that, the reference stress has to be known. Since a complex technical product may fail regarding numerous failure modes, stress in general is highly dimensional rather than scalar. In addition, customers use their products individually, i.e. field operation should be described by a distribution rather than by one scalar stress value. In this paper, a way to span the customer usage space is shown. It allows the identification of worst case reference stress profiles in significantly reduced dimensions with minimal loss of information. The application example shows that even for a complex product like a combustion engine, stress information can be compressed significantly. With low measurement effort it turned out that only three reference stress cycles were sufficient to cover a broad range of customer stress variety.
Y1  - 2010
U6  - https://doi.org/10.1002/qre.1155
SN  - 1099-1638
N1  - Special Issue: Business and Industrial Statistics: Developments and Industrial Practices in Quality and Reliability
VL  - 26
IS  - 8
SP  - 877
EP  - 885
PB  - Wiley
CY  - New York
ER  - 
TY  - JOUR
A1  - Baringhaus, Ludwig
A1  - Gaigall, Daniel
A1  - Thiele, Jan Philipp
T1  - Statistical inference for L²-distances to uniformity
JF  - Computational Statistics
N2  - The paper deals with the asymptotic behaviour of estimators, statistical tests and confidence intervals for L²-distances to uniformity based on the empirical distribution function, the integrated empirical distribution function and the integrated empirical survival function. Approximations of power functions, confidence intervals for the L²-distances and statistical neighbourhood-of-uniformity validation tests are obtained as main applications. The finite sample behaviour of the procedures is illustrated by a simulation study.
KW  - Integrated empirical distribution (survival) function
KW  - Goodness-of-fit tests for uniformity
KW  - Numerical inversion of Laplace transforms
KW  - Coverage probability
KW  - Equivalence test
Y1  - 2018
U6  - https://doi.org/10.1007/s00180-018-0820-0
SN  - 1613-9658
VL  - 2018
IS  - 33
SP  - 1863
EP  - 1896
PB  - Springer
CY  - Berlin
ER  -