TY - GEN
T1 - Comparative study of time scales in optimal time scale analysis of field reliability data
AU - Yamamoto, Watalu
AU - Takeshita, Kazuki
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015
Y1 - 2015
N2 - The time scale of failures need not be chronological, if a failure occurs according to the accumulation of damages from its usage or exposure to some risk. The true time scale, if there could be, need not show the best fit among time scale candidates to the observed field reliability data. A semiparametric estimator of the time scale which combines multivariate lifetime data has been proposed in the literature. It does not require the specification of the lifetime distribution beforehand on the time scale also to be estimated. We first show a set of simulation results for investigation of the properties of time scale models and the sample properties of their estimates. Then we show another result on the performance under the time scale misspecifications. Finally the estimator and the time scale functions are applied to a problem of finding a suitable time scale for field reliability data. We show that the results are useful even in cases when there exists prior knowledge about the suitable time scale.
AB - The time scale of failures need not be chronological, if a failure occurs according to the accumulation of damages from its usage or exposure to some risk. The true time scale, if there could be, need not show the best fit among time scale candidates to the observed field reliability data. A semiparametric estimator of the time scale which combines multivariate lifetime data has been proposed in the literature. It does not require the specification of the lifetime distribution beforehand on the time scale also to be estimated. We first show a set of simulation results for investigation of the properties of time scale models and the sample properties of their estimates. Then we show another result on the performance under the time scale misspecifications. Finally the estimator and the time scale functions are applied to a problem of finding a suitable time scale for field reliability data. We show that the results are useful even in cases when there exists prior knowledge about the suitable time scale.
KW - Competing risks
KW - Counting process
KW - Field reliability data
KW - Optimal lifetime scale
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U2 - 10.1007/978-3-319-12355-4_22
DO - 10.1007/978-3-319-12355-4_22
M3 - Conference contribution
AN - SCOPUS:84946098413
SN - 9783319123547
T3 - Frontiers in Statistical Quality Control 10
SP - 369
EP - 383
BT - Frontiers in Statistical Quality Control - 11th International Workshop on Intelligent Statistical Quality Control, 2013
A2 - Knoth, Sven
A2 - Schmid, Wolfgang
PB - Kluwer Academic Publishers
T2 - 11th International Workshop on Intelligent Statistical Quality Control, 2013
Y2 - 20 August 2013 through 23 August 2013
ER -