627 citations · 935 across the 19 of their papers we have counts for
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Robust Numerical Methods for Nonlinear Regression
Peng Liu, William Q. Meeker
Many scientific and engineering applications require fitting regression models that are nonlinear in the parameters. Advances in computer hardware and software in recent decades ha…
On Equivalence of Likelihood-Based Confidence Bands for Fatigue-Life and Fatigue-Strength Distributions
Peng Liu, Yili Hong, Luis A. Escobar +1
Fatigue data arise in many research and applied areas and there have been statistical methods developed to model and analyze such data. The distributions of fatigue life and fatigu…
Modern Statistical Models and Methods for Estimating Fatigue-Life and Fatigue-Strength Distributions from Experimental Data
William Q. Meeker, Luis A. Escobar, Francis G. Pascual +4
Engineers and scientists have been collecting and analyzing fatigue data since the 1800s to ensure the reliability of life-critical structures. Applications include (but are not li…
Constructing Prediction Intervals Using the Likelihood Ratio Statistic
Qinglong Tian, Daniel J. Nordman, William Q. Meeker
Statistical prediction plays an important role in many decision processes such as university budgeting (depending on the number of students who will enroll), capital budgeting (dep…
Prediction of Future Failures for Heterogeneous Reliability Field Data
Colin Lewis-Beck, Qinglong Tian, William Q. Meeker
This article introduces methods for constructing prediction bounds or intervals for the number of future failures from heterogeneous reliability field data. We focus on within-samp…
Methods to Compute Prediction Intervals: A Review and New Results
Qinglong Tian, Daniel J. Nordman, William Q. Meeker
This paper reviews two main types of prediction interval methods under a parametric framework. First, we describe methods based on an (approximate) pivotal quantity. Examples inclu…