Abstract
In this article, we present the parameter inference in step-stress accelerated life tests under the tampered failure rate model with geometric distribution. We deal with Type-II censoring scheme involved in experimental data, and provide the maximum likelihood estimate and confidence interval of the parameters of interest. With the help of the Monte-Carlo simulation technique, a comparison of precision of the confidence limits is demonstrated for our method, the Bootstrap method, and the large-sample based procedure. The application of two industrial real datasets shows the proposed method efficiency and feasibility.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1796-1812 |
| Number of pages | 17 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 41 |
| Issue number | 10 |
| DOIs | |
| State | Published - 2012 |
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Keywords
- Bootstrap
- Geometric distribution
- Interval estimation
- Maximum likelihood estimate
- Monte-Carlo simulation
- Step-stress accelerated life test
- Tampered failure rate model
- Type-II censoring
ASJC Scopus subject areas
- Statistics and Probability
Cite this
On parameter inference for step-stress accelerated life test with geometric distribution. / Wang, Ronghua; Xu, Xiaoling; Pan, Rong; Sha, Naijun.
In: Communications in Statistics - Theory and Methods, Vol. 41, No. 10, 2012, p. 1796-1812.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On parameter inference for step-stress accelerated life test with geometric distribution
AU - Wang, Ronghua
AU - Xu, Xiaoling
AU - Pan, Rong
AU - Sha, Naijun
PY - 2012
Y1 - 2012
N2 - In this article, we present the parameter inference in step-stress accelerated life tests under the tampered failure rate model with geometric distribution. We deal with Type-II censoring scheme involved in experimental data, and provide the maximum likelihood estimate and confidence interval of the parameters of interest. With the help of the Monte-Carlo simulation technique, a comparison of precision of the confidence limits is demonstrated for our method, the Bootstrap method, and the large-sample based procedure. The application of two industrial real datasets shows the proposed method efficiency and feasibility.
AB - In this article, we present the parameter inference in step-stress accelerated life tests under the tampered failure rate model with geometric distribution. We deal with Type-II censoring scheme involved in experimental data, and provide the maximum likelihood estimate and confidence interval of the parameters of interest. With the help of the Monte-Carlo simulation technique, a comparison of precision of the confidence limits is demonstrated for our method, the Bootstrap method, and the large-sample based procedure. The application of two industrial real datasets shows the proposed method efficiency and feasibility.
KW - Bootstrap
KW - Geometric distribution
KW - Interval estimation
KW - Maximum likelihood estimate
KW - Monte-Carlo simulation
KW - Step-stress accelerated life test
KW - Tampered failure rate model
KW - Type-II censoring
UR - http://www.scopus.com/inward/record.url?scp=84862886750&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84862886750&partnerID=8YFLogxK
U2 - 10.1080/03610926.2010.551455
DO - 10.1080/03610926.2010.551455
M3 - Article
AN - SCOPUS:84862886750
VL - 41
SP - 1796
EP - 1812
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
SN - 0361-0926
IS - 10
ER -