| [1] |
Cao, C.-Z.; Lin, J.-G.; Zhu, X.-X., On Estimation of a Heteroscedastic Measurement Error Model Under Heavy-Tailed Distributions, Computational Statistics & Data Analysis, 56, 438-448 (2012) · Zbl 1239.62067 |
| [2] |
Carroll, R.; Ruppert, D., The Use and Misuse of Orthogonal Regression in Linear Errors-in-Variables Models, The American Statistician, 50, 1-6 (1996) |
| [3] |
Carroll, R. J.; Ruppert, D.; Stefanski, L. A.; Crainiceanu, C. M., Measurement Error in Nonlinear Models: A Modern Perspective (2006), Boca Raton, FL: CRC Press, Boca Raton, FL · Zbl 1119.62063 |
| [4] |
Cheng, C.-L.; Riu, J., On Estimating Linear Relationships When Both Variables are Subject to Heteroscedastic Measurement Errors, Technometrics, 48, 511-519 (2006) |
| [5] |
Cheng, C.-L.; Tsai, J.-R., On Interval Estimation in Linear Relationships With Heteroscedastic Measurement Errors in Both Axes, Chemometrics and Intelligent Laboratory Systems, 142, 276-284 (2015) |
| [6] |
Cheng, C.-L.; Van Ness, J. W., Statistical Regression with Measurement Error (1999), New York: Oxford University Press, New York · Zbl 0947.62046 |
| [7] |
Christiansen, B., Straight Line Fitting and Predictions: On a Marginal Likelihood Approach to Linear Regression and Errors-in-Variables Models, Journal of Climate, 27, 2014-2031 (2014) |
| [8] |
Connor, B.; Bösch, H.; McDuffie, J.; Taylor, T.; Fu, D.; Frankenberg, C.; O’Dell, C.; Payne, V. H.; Gunson, M.; Pollock, R.; Hobbs, J.; Oyafuso, F.; Jiang, Y., Quantification of Uncertainties in OCO-2 Measurements of X \(####\): Simulations and Linear Error Analysis, Atmospheric Measurement Techniques, 9, 5227-5238 (2016) |
| [9] |
Connor, B. J.; Boesch, H.; Toon, G.; Sen, B.; Miller, C.; Crisp, D., Orbiting Carbon Observatory: Inverse Method and Prospective Error Analysis, Journal of Geophysical Research: Atmospheres, 113, D05305 (2008) · doi:10.1029/2006JD008336 |
| [10] |
Cressie, N., Statistics for Spatial Data (1993), Hoboken, NJ: Wiley, Hoboken, NJ |
| [11] |
Cressie, N.; Hawkins, D. M., Robust Estimation of the Variogram: I, Journal of the International Association for Mathematical Geology, 12, 115-125 (1980) |
| [12] |
Crisp, D.; Atlas, R. M.; Brown, L. R.; Burrows, J. P.; Ciais, P.; Connor, B. J.; Doney, S. C.; Fung, I. Y.; Jacob, D. J.; Miller, C. E.; O’Brien, D.; Pawson, S.; Randerson, J. T.; Rayner, P.; Salawitch, R. J.; Sander, S. P.; Sen, B.; Stephens, G. L.; Tans, P. P.; Toon, G. C.; Wennberg, P. O.; Wofsy, S. C.; Yung, Y. L.; Kuang, Z.; Chudasama, B.; Sprague, G.; Weiss, B.; Pollock, R.; Kenyon, D.; Schroll, S., The Orbiting Carbon Observatory (OCO) Mission, Advances in Space Research, 34, 700-709 (2004) |
| [13] |
Crisp, D.; Pollock, H. R.; Rosenberg, R.; Chapsky, L.; Lee, R. A. M.; Oyafuso, F. A.; Frankenberg, C.; O’Dell, C. W.; Bruegge, C. J.; Doran, G. B.; Eldering, A.; Fisher, B. M.; Fu, D.; Gunson, M. R.; Mandrake, L.; Osterman, G. B.; Schwandner, F. M.; Sun, K.; Taylor, T. E.; Wennberg, P. O.; Wunch, D., The On-Orbit Performance of the Orbiting Carbon Observatory (OCO-2) Instrument and Its Radiometrically Calibrated Products, Atmospheric Measurement Techniques, 10, 59-81 (2017) |
| [14] |
de Castro, M.; Galea, M.; Bolfarine, H., Hypothesis Testing in an Errors-in-Variables Model With Heteroscedastic Measurement Errors, Statistics in Medicine, 27, 5217-5234 (2008) |
| [15] |
Fuller, W. A., Measurement Error Models (1987), Hoboken, NJ: Wiley, Hoboken, NJ · Zbl 0800.62413 |
| [16] |
Genton, M. G.; Kleiber, W., Cross-Covariance Functions for Multivariate Geostatistics, Statistical Science, 30, 147-163 (2015) · Zbl 1332.86010 |
| [17] |
Godambe, V. P., An Optimum Property of Regular Maximum Likelihood Estimation, Annals of Mathematical Statistics, 31, 1208-1211 (1960) · Zbl 0118.34301 |
| [18] |
Gong, G.; Samaniego, F. J., Pseudo Maximum Likelihood Estimation: Theory and Applications, Annals of Statistics, 9, 861-869 (1981) · Zbl 0471.62032 |
| [19] |
Harville, D. A., Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems, Journal of the American Statistical Association, 72, 320-338 (1977) · Zbl 0373.62040 |
| [20] |
Henderson, H. V.; Searle, S. R., On Deriving the Inverse of a Sum of Matrices, SIAM Review, 23, 53-60 (1981) · Zbl 0451.15005 |
| [21] |
Higdon, D.; Gattiker, J.; Williams, B.; Rightley, M., Computer Model Calibration Using High-Dimensional Output, Journal of the American Statistical Association, 103, 570-583 (2008) · Zbl 1469.62414 |
| [22] |
Higdon, D.; Kennedy, M.; Cavendish, J. C.; Cafeo, J. A.; Ryne, R. D., Combining Field Data and Computer Simulations for Calibration and Prediction, SIAM Journal on Scientific Computing, 26, 448-466 (2004) · Zbl 1072.62018 |
| [23] |
Huque, M. H.; Bondell, H. D.; Ryan, L., On the Impact of Covariate Measurement Error on Spatial Regression Modelling, Environmetrics, 25, 560-570 (2014) |
| [24] |
Kennedy, M.; O’Hagan, A., Bayesian Calibration of Computer Models, Journal of the Royal Statistical Society, 63, 425-464 (2001) · Zbl 1007.62021 |
| [25] |
Konomi, B. A.; Karagiannis, G.; Lai, K.; Lin, G., Bayesian Treed Calibration: An Application to Carbon Capture With AX Sorbent, Journal of the American Statistical Association, 112, 37-53 (2017) |
| [26] |
Kulathinal, S.; Kuulasmaa, K.; Gasbarra, D., Estimation of an Errors-in-Variables Regression Model When the Variances of the Measurement Errors Vary Between the Observations, Statistics in Medicine, 21, 1089-1101 (2002) |
| [27] |
Li, Y.; Tang, H.; Lin, X., Spatial Linear Mixed Models With Covariate Measurement Errors, Statistica Sinica, 19, 1077-1093 (2009) · Zbl 1166.62039 |
| [28] |
Loew, A.; Bell, W.; Brocca, L.; Bulgin, C. E.; Burdanowitz, J.; Calbet, X.; Donner, R. V.; Ghent, D.; Gruber, A.; Kaminski, T.; Kinzel, J.; Klepp, C.; Lambert, J. C.; Schaepman-Strub, G.; Schröder, M.; Verhoelst, T., Validation Practices for Satellite Based Earth Observation Data Across Communities, Reviews of Geophysics, 55, 779-817 (2017) |
| [29] |
Mandrake, L.; O’Dell, C.; Wunch, D.; Wennberg, P. O.; Fisher, B.; Osterman, G. B.; Eldering, A., Orbiting Carbon Observatory-2 (OCO-2) Warn Level, Bias Correction, and Lite File Product Description (2015), Pasadena, CA |
| [30] |
Matérn, B., Spatial Variation, 36 (2013), New York: Springer Science & Business Media, New York |
| [31] |
McCullagh, P.; Tibshirani, R., A Simple Method for the Adjustment of Profile Likelihoods, Journal of the Royal Statistical Society, 52, 325-344 (1990) · Zbl 0716.62039 |
| [32] |
Messerschmidt, J.; Geibel, M. C.; Blumenstock, T.; Chen, H.; Deutscher, N. M.; Engel, A.; Feist, D. G.; Gerbig, C.; Gisi, M.; Hase, F.; Katrynski, K.; Kolle, O.; Lavrič, J. V.; Notholt, J.; Palm, M.; Ramonet, M.; Rettinger, M.; Schmidt, M.; Sussmann, R.; Toon, G. C.; Truong, F.; Warneke, T.; Wennberg, P. O.; Wunch, D.; Xueref-Remy, I., Calibration of TCCON Column-Averaged CO2: The First Aircraft Campaign Over European TCCON Sites, Atmospheric Chemistry and Physics, 11, 10765-10777 (2011) |
| [33] |
Patterson, H. D.; Thompson, R., Recovery of Inter-Block Information When Block Sizes are Unequal, Biometrika, 58, 545-554 (1971) · Zbl 0228.62046 |
| [34] |
Riu, J.; Rius, F. X., Univariate Regression Models with Errors in Both Axes, Journal of Chemometrics, 9, 343-362 (1995) |
| [35] |
Sherman, J.; Morrison, W. J., Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix, Annals of Mathematical Statistics, 21, 124-127 (1950) · Zbl 0037.00901 |
| [36] |
Sprent, P., A Generalized Least-Squares Approach to Linear Functional Relationships, Journal of the Royal Statistical Society, 28, 278-297 (1966) · Zbl 0147.37804 |
| [37] |
Stein, M. L., Interpolation of Spatial Data: Some Theory for Kriging (1999), New York: Springer Science & Business Media, New York · Zbl 0924.62100 |
| [38] |
Titterington, D. M.; Halliday, A. N., On the Fitting of Parallel Isochrons and the Method of Maximum Likelihood, Chemical Geology, 26, 183-195 (1979) |
| [39] |
Tuo, R.; Wu, C. J., Efficient Calibration for Imperfect Computer Models, Annals of Statistics, 43, 2331-2352 (2015) · Zbl 1326.62228 |
| [40] |
———, A Theoretical Framework for Calibration in Computer Models: Parametrization, Estimation and Convergence Properties, SIAM/ASA Journal on Uncertainty Quantification, 4, 767-795 (2016) · Zbl 1383.62354 |
| [41] |
Viscarra Rossel, R.; Taylor, H.; McBratney, A., Multivariate Calibration of Hyperspectral γ-Ray Energy Spectra for Proximal Soil Sensing, European Journal of Soil Science, 58, 343-353 (2007) |
| [42] |
Wunch, D.; Toon, G. C.; Blavier, J.-F. L.; Washenfelder, R. A.; Notholt, J.; Connor, B. J.; Griffith, D. W.; Sherlock, V.; Wennberg, P. O., The Total Carbon Column Observing Network, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 369, 2087-2112 (2011) |
| [43] |
Wunch, D.; Toon, G. C.; Sherlock, V.; Deutscher, N. M.; Liu, C.; Feist, D. G.; Wennberg, P. O., The Total Carbon Column Observing Network’s GGG2014 Data Version (2015), Pasadena, CA · doi:10.14291/TCCON.GGG2014.DOCUMENTATION.R0/1221662 |
| [44] |
Wunch, D.; Toon, G. C.; Wennberg, P. O.; Wofsy, S. C.; Stephens, B. B.; Fischer, M. L.; Uchino, O.; Abshire, J. B.; Bernath, P.; Biraud, S. C.; Blavier, J.-F. L.; Boone, C.; Bowman, K. P.; Browell, E. V.; Campos, T.; Connor, B. J.; Daube, B. C.; Deutscher, N. M.; Diao, M.; Elkins, J. W.; Gerbig, C.; Gottlieb, E.; Griffith, D. W. T.; Hurst, D. F.; Jiménez, R.; Keppel-Aleks, G.; Kort, E. A.; Macatangay, R.; Machida, T.; Matsueda, H.; Moore, F.; Morino, I.; Park, S.; Robinson, J.; Roehl, C. M.; Sawa, Y.; Sherlock, V.; Sweeney, C.; Tanaka, T.; Zondlo, M. A., Calibration of the Total Carbon Column Observing Network using Aircraft Profile Data, Atmospheric Measurement Techniques, 3, 1351-1362 (2010) |
| [45] |
Wunch, D.; Wennberg, P. O.; Osterman, G.; Fisher, B.; Naylor, B.; Roehl, C. M.; O’Dell, C.; Mandrake, L.; Viatte, C.; Kiel, M.; Griffith, D. W. T.; Deutscher, N. M.; Velazco, V. A.; Notholt, J.; Warneke, T.; Petri, C.; Maziere, M. De; Sha, M. K.; Sussmann, R.; Rettinger, M.; Pollard, D.; Robinson, J.; Morino, I.; Uchino, O.; Hase, F.; Blumenstock, T.; Feist, D. G.; Arnold, S. G.; Strong, K.; Mendonca, J.; Kivi, R.; Heikkinen, P.; Iraci, L.; Podolske, J.; Hillyard, P. W.; Kawakami, S.; Dubey, M. K.; Parker, H. A.; Sepulveda, E.; García, O. E.; Te, Y.; Jeseck, P.; Gunson, M. R.; Crisp, D.; Eldering, A., Comparisons of the Orbiting Carbon Observatory-2 (OCO-2) XCO2 Measurements With TCCON, Atmospheric Measurement Techniques, 10, 2209-2238 (2017) |
| [46] |
Xiong, S.; Qian, P. Z.; Wu, C. J., Sequential Design and Analysis of High-Accuracy and Low-Accuracy Computer Codes, Technometrics, 55, 37-46 (2013) |
| [47] |
Yi, G. Y.; Reid, N., A Note on Mis-Specified Estimating Functions, Statistica Sinica, 20, 1749-1769 (2010) · Zbl 1200.62058 |
| [48] |
York, D., Least-Squares Fitting of a Straight Line, Canadian Journal of Physics, 44, 1079-1086 (1966) · Zbl 0144.42402 |
| [49] |
———, Least Squares Fitting of a Straight Line with Correlated Errors, Earth and Planetary Science Letters, 5, 320-324 (1968) |
| [50] |
York, D.; Evensen, N. M.; Martínez, M. L.; Delgado, J. D. B., Unified Equations for the Slope, Intercept, and Standard Errors of the Best Straight Line, American Journal of Physics, 72, 367-375 (2004) |
| [51] |
Zhang, B.; Cressie, N.; Wunch, D., Statistical Properties of Atmospheric Greenhouse Gas Measurements: Looking Down From Space and Looking up From the Ground, Chemometrics and Intelligent Laboratory Systems, 162, 214-222 (2017) |
