Robust Maximum Likelihood Estimation

References

• Ben-Tal A, El Ghaoui L, Nemirovski A (2009) Robust Optimization (Princeton University Press, Princeton, NJ).Crossref, Google Scholar
• Berkson J (1950) Are there two regressions? J. Amer. Statist. Assoc. 45(250):164–180.Crossref, Google Scholar
• Bertsimas D, Nohadani O (2010) Robust optimization with simulated annealing. J. Global Optim. 48(2):323–334.Crossref, Google Scholar
• Bertsimas D, Brown D, Caramanis C (2011) Theory and applications of robust optimization. SIAM Rev. 53(3):464–501.Crossref, Google Scholar
• Bertsimas D, Nohadani O, Teo K (2010a) Nonconvex robust optimization for problems with constraints. INFORMS J. Comput. 22(1):44–58.Link, Google Scholar
• Bertsimas D, Nohadani O, Teo K (2010b) Robust optimization for unconstrained simulation-based problems. Oper. Res. 58(1):161–178.Link, Google Scholar
• Boyd S, Vandenberghe L (2004) Convex Optimization (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
• Buonaccorsi JP (2010) Measurement Error; Models, Methods and Applications (CRC Press, Boca Raton, FL).Crossref, Google Scholar
• Calafiore G, El Ghaoui L (2001) Robust maximum likelihood estimation in the linear model. Automatica 37(4):573–580.Crossref, Google Scholar
• Cheng CL, Van Ness JW, et al.. (1999) Statistical Regression with Measurement Error (Oxford University Press, New York).Google Scholar
• Danskin JM (1966) The theory of max-min, with applications. SIAM J. Appl. Math. 14(4):641–664.Crossref, Google Scholar
• Das I, Desrosiers C, Srivastava S, Chopra K, Khadivi K, Taylor M, Zhao Q, Johnstone P (2008) Dosimetric variability in lung cancer IMRT/SBRT among institutions with identical treatment planning systems. Internat. J. Radiation Oncology Biol. Phys. 72(1):604–605.Crossref, Google Scholar
• Delage E, Ye Y (2010) Distributionally robust optimization under moment uncertainty with application to data-driven problems. Oper. Res. 58(3):595–612.Link, Google Scholar
• El Ghaoui L, Lebret H (1997) Robust solutions to least-squares problems with uncertain data. SIAM J. Matrix Anal. Appl. 18(4):1035–1064.Crossref, Google Scholar
• Fuller WA (2009) Measurement Error Models, vol. 305 (John Wiley & Sons, Hoboken, NJ).Google Scholar
• Hampel FR (1974) The influence curve and its role in robust estimation. J. Amer. Statist. Assoc. 69(346):383–393.Crossref, Google Scholar
• Huber PJ (1964) Robust estimation of a location parameter. Ann. Math. Statist. 35(1):73–101.Crossref, Google Scholar
• Huber PJ (1980) Robust Statistics (John Wiley & Sons, Cambridge, MA).Google Scholar
• Huber PJ (1996) Robust Statistical Procedures (SIAM).Crossref, Google Scholar
• International Commission on Radiation Units and Measurements (2010) Prescribing, recording and reporting photon-beam intensity-modulated radiation therapy (IMRT). ICRU Report-83, International Commission on Radiation Units and Measurements 10(1).Google Scholar
• Jaeckel LA (1971) Robust estimates of location: Symmetry and asymmetric contamination. Ann. Math. Statist. 42(3):1020–1034.Crossref, Google Scholar
• Nohadani O, Roy A, Das I (2015) Large-scale DVH quality study: Correlated aims lead relaxations. Medical Phys. 42(6):3457–3457.Crossref, Google Scholar
• Pfanzagl J (1994) Parametric Statistical Theory (Walter de Gruyter, Berlin).Crossref, Google Scholar
• Rendl F, Wolkowicz H (1997) A semidefinite framework for trust region subproblems with applications to large scale minimization. Math. Programming 77(1):273–299.Crossref, Google Scholar
• Roy A, Das I, Srivastava S, Nohadani O (2013) Analysis of planner dependence in IMRT. Medical Phys. 40(6):260.Crossref, Google Scholar
• Roy A, Das IJ, Nohadani O (2016) On correlations in IMRT planning aims. J. Appl. Clinical Medical Phys. 17(6):44–59.Crossref, Google Scholar
• Sra S, Nowozin S, Wright S (2012) Optimization for Machine Learning (MIT Press, Cambridge, MA).Google Scholar
• Ye Y (1992) A new complexity result on minimization of a quadratic function with a sphere constraint. Floudas C, Pardalos P, eds. Recent Advances in Global Optimization (Princeton University Press, Princeton, NJ), 19–31.Google Scholar