Paper: Parameter Estimation Using the Python Package pymcmcstat

papers/paul_miles/mybib.bib

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+  title={Science and statistics},
+  author={Box, George EP},
+  journal={Journal of the American Statistical Association},
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+  year={1976},
+  publisher={Taylor \& Francis}
+}
+
+@article{brooks1998assessing,
+  title={Assessing Convergence of Markov chain Monte Carlo Algorithms},
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+  year={1998},
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+
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+}
+
+@article{davidson2013nonaffine,
+  title={A nonaffine network model for elastomers undergoing finite deformations},
+  author={Davidson, Jacob D and Goulbourne, NC},
+  journal={Journal of the Mechanics and Physics of Solids},
+  volume={61},
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+  year={2013},
+  publisher={Elsevier},
+  doi={10.1016/j.jmps.2013.03.009},
+}
+
+@article{gelman1992inference,
+  title={Inference from iterative simulation using multiple sequences},
+  author={Gelman, Andrew and Rubin, Donald B and others},
+  journal={Statistical science},
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+  publisher={Institute of Mathematical Statistics},
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+}
+
+@article{haario2001adaptive,
+  title={An Adaptive Metropolis Algorithm},
+  author={Haario, Heikki and Saksman, Eero and Tamminen, Johanna and others},
+  journal={Bernoulli},
+  volume={7},
+  number={2},
+  pages={223--242},
+  year={2001},
+  publisher={Bernoulli Society for Mathematical Statistics and Probability},
+}
+
+@article{haario2006dram,
+  title={\mbox{DRAM}: Efficient Adaptive MCMC},
+  author={Haario, Heikki and Laine, Marko and Mira, Antonietta and Saksman, Eero},
+  journal={Statistics and computing},
+  volume={16},
+  number={4},
+  pages={339--354},
+  year={2006},
+  publisher={Springer},
+  doi={10.1007/s11222-006-9438-0},
+}
+
+@article{hite2019bayesian,
+  title={Bayesian Metropolis methods for source localization in an urban environment},
+  author={Hite, Jason and Mattingly, John},
+  journal={Radiation Physics and Chemistry},
+  volume={155},
+  pages={271--274},
+  year={2019},
+  publisher={Elsevier},
+  doi={10.1016/j.radphyschem.2018.06.024},
+}
+
+@article{hite2019localization,
+  title={Localization of a radioactive source in an urban environment using Bayesian Metropolis methods},
+  author={Hite, Jason and Mattingly, John and Archer, Dan and Willis, Michael and Rowe, Andrew and Bray, Kayleigh and Carter, Jake and Ghawaly, James},
+  journal={Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment},
+  volume={915},
+  pages={82--93},
+  year={2019},
+  publisher={Elsevier},
+  doi={10.1016/j.nima.2018.09.032},
+}
+
+@article{leon2018analysis,
+  title={Analysis of a multi-axial quantum-informed ferroelectric continuum model: Part 2—sensitivity analysis},
+  author={Leon, Lider S. and Smith, Ralph C. and Oates, William S. and Miles, Paul R.},
+  journal={Journal of Intelligent Material Systems and Structures},
+  volume={29},
+  number={13},
+  pages={2840--2860},
+  year={2018},
+  publisher={SAGE Publications Sage UK: London, England},
+  doi={10.1177/1045389X18781024},
+}
+
+@book{lines2001principles,
+  title={Principles and applications of ferroelectrics and related materials},
+  author={Lines, Malcolm E and Glass, Alastair M},
+  year={2001},
+  publisher={Oxford university press}
+}
+
+@article{mashayekhi2018fractional,
+  title={Fractional viscoelasticity in fractal and non-fractal media: Theory, experimental validation, and uncertainty analysis},
+  author={Mashayekhi, Somayeh and Miles, Paul R. and Hussaini, M. Yousuff and Oates, William S.},
+  journal={Journal of the Mechanics and Physics of Solids},
+  volume={111},
+  pages={134--156},
+  year={2018},
+  publisher={Elsevier},
+  doi={10.1016/j.jmps.2017.10.013}
+}
+
+@misc{mcmcplot2019v0.0.1,
+  author       = {Paul Miles},
+  title        = {mcmcplot},
+  month        = apr,
+  year         = 2019,
+  doi          = {10.5281/zenodo.2638340},
+}
+
+@article{metropolis1953equation,
+  title={Equation of state calculations by fast computing machines},
+  author={Metropolis, Nicholas and Rosenbluth, Arianna W and Rosenbluth, Marshall N and Teller, Augusta H and Teller, Edward},
+  journal={The journal of chemical physics},
+  volume={21},
+  number={6},
+  pages={1087--1092},
+  year={1953},
+  publisher={AIP}
+}
+
+@article{miles2015bayesian,
+  title={Bayesian uncertainty analysis of finite deformation viscoelasticity},
+  author={Miles, Paul R. and Hays, Michael and Smith, Ralph C. and Oates, William S.},
+  journal={Mechanics of Materials},
+  volume={91},
+  pages={35--49},
+  year={2015},
+  publisher={Elsevier},
+  doi={10.1016/j.mechmat.2015.07.002},
+}
+
+@article{miles2018analysis,
+  title={Analysis of a multi-axial quantum informed ferroelectric continuum model: Part 1—uncertainty quantification},
+  author={Miles, Paul R. and Leon, Lider S. and Smith, Ralph C. and Oates, William S.},
+  journal={Journal of Intelligent Material Systems and Structures},
+  volume={29},
+  number={13},
+  pages={2823--2839},
+  year={2018},
+  publisher={SAGE Publications Sage UK: London, England},
+  doi={10.1177/1045389X18781023},
+}
+
+@article{miles2019pymcmcstat,
+  title={A Python Package for Bayesian Inference Using Delayed Rejection Adaptive Metropolis},
+  author={Miles, Paul R.},
+  journal={Journal of Open Source Software},
+  volume={4},
+  number={38},
+  pages={1417},
+  year={2019},
+  doi={10.21105/joss.01417},
+}
+
+@misc{pymcmcstat2019v1.7.1,
+  author       = {Paul Miles},
+  title        = {prmiles/pymcmcstat: v1.7.1},
+  month        = may,
+  year         = 2019,
+  doi          = {10.5281/zenodo.2660145},
+}
+
+@book{rubinstein2003polymer,
+  title={Polymer physics},
+  author={Rubinstein, Michael and Colby, Ralph H. and others},
+  volume={23},
+  year={2003},
+  publisher={Oxford university press New York}
+}
+
+@book{smith2005smart,
+  title={Smart material systems: model development},
+  author={Smith, Ralph C.},
+  year={2005},
+  publisher={SIAM}
+}
+
+@book{smith2014uncertainty,
+  title={Uncertainty Quantification: Theory, Implementation, and Applications},
+  author={Smith, Ralph C.},
+  volume={12},
+  year={2014},
+  publisher={SIAM}
+}