Trimming and procrastination as inversion techniques

Backus, 1970, Inference from inadequate and inaccurate data, I, 65, 1 Backus, 1970, Inference from inadequate and inaccurate data, II, 65, 281 Backus, 1970, Inference from inadequate and inaccurate data, III, 67, 282 Backus, 1970, Non-uniqueness of the external geomagnetic field determined by surface intensity measurements, J. Geophys. Res., 75, 6339, 10.1029/JA075i031p06339 Backus, 1975, Gross thermodynamics of heat engines in deep interior of earth, 72, 1555 Backus, 1986, Poloidal and toroidal fields in geomagnetic field modelling, Rev. Geophys., 24, 75, 10.1029/RG024i001p00075 Backus, 1988, Bayesian inference in geomagnetism, Geophys. J., 92, 125, 10.1111/j.1365-246X.1988.tb01127.x Backus, 1988, Comparing hard and soft bounds in geophysical inverse problems, Geophys. J., 94, 249, 10.1111/j.1365-246X.1988.tb05899.x Backus, 1989, Confidence set inference with a prior quadratic bound, Geophys. J., 97, 119, 10.1111/j.1365-246X.1989.tb00489.x Backus, 1967, Numerical applications of a formalism for geophysical inverse problems, Geophys. J. R. Astron. Soc., 13, 247, 10.1111/j.1365-246X.1967.tb02159.x Cain, 1989, The geomagnetic spectrum for 1980 and core-crustal separation, Geophys. J., 97, 443, 10.1111/j.1365-246X.1989.tb00514.x Chandrasekhar, 1961, Hydrodynamic and Hydromagnetic Stability, 654 Constable, 1988, Statistics of the geomagnetic secular variation for the past 5 m.y., J. Geophys. Res., 93, 11569, 10.1029/JB093iB10p11569 Donoho, 1994, Statistical estimation and optimal recovery, Ann. Stat., 22, 238, 10.1214/aos/1176325367 Dunford, 1958, Linear Operators, Part I, 858 Erdelyi, 1953, Vol. 2, 396 Feller, 1968, Vol. 1, 509 Franklin, 1970, Well-posed stochastic extensions of ill-posed linear problems, J. Math. Anal. Appl., 31, 682, 10.1016/0022-247X(70)90017-X Freedman, 1991, Statistics, 514 Golub, 1983, Matrix Computations, 476 Graves, 1946, The Theory of Functions of Real Variables, 300 Gubbins, 1983, Geomagnetic field analysis—I. Stochastic inversion, Geophys. J. R. Astron. Soc., 73, 641, 10.1111/j.1365-246X.1983.tb03336.x Gubbins, 1984, Geomagnetic field analysis—II. Secular variation consistent with a perfectly conducting core, Geophys. J. R. Astron. Soc., 77, 753, 10.1111/j.1365-246X.1984.tb02219.x Gubbins, 1985, Geomagnetic field analysis—III. Magnetic fields on the core-mantle boundary, Geophys. J. R. Astron. Soc., 80, 695, 10.1111/j.1365-246X.1985.tb05119.x Halmos, 1950, Measure Theory, 304 Halmos, 1951, Introduction to Hilbert Space, 114 Halmos, 1958, Finite Dimensional Vector Spaces, 199 Holme, 1995, Alleviation of the Backus effect in geomagnetic field modelling, Geophys. Res. Lett., 22, 1641, 10.1029/95GL01431 Jackson, 1990, Accounting for crustal magnetization in models of the core magnetic field, Geophys. J. Int., 103, 657, 10.1111/j.1365-246X.1990.tb05678.x Jackson, 1994, Statistical treatment of crustal magnetization, Geophys. J. Int., 119, 991, 10.1111/j.1365-246X.1994.tb04030.x Jackson, 1979, The use of a priori data to resolve non-uniqueness in linear inversion, Geophys. J. R. Astron. Soc., 57, 137, 10.1111/j.1365-246X.1979.tb03777.x Jeffreys, 1961, Theory of Probability, 459 Jeffreys, 1969, Cartesian Tensors, 92 Kendall, 1977, The Advanced Theory of Statistics I, 472 Kendall, 1979, The Advanced Theory of Statistics II, 748 Langel, 1982, A geomagnetic field spectrum, Geophys. Res. Lett., 9, 250, 10.1029/GL009i004p00250 Langel, 1982, The MAGSAT mission, Geophys. Res. Lett., 9, 243, 10.1029/GL009i004p00243 MacLane, 1967, Algebra, 598 Neyman, 1937, Outline of a theory of statistical estimation based on the classical theory of probability, Philos. Trans. R. Soc. London, Ser. A, 236, 333, 10.1098/rsta.1937.0005 Parker, 1979, Cosmical Magnetic Fields, 841 Parker, 1972, Inverse theory with grossly inadequate data, Geophys. J. R. Astron. Soc., 29, 123, 10.1111/j.1365-246X.1972.tb02203.x Press, 1992, Numerical Recipes in C, 994 Stark, 1992, Minimax confidence intervals in geomagnetism, Geophys. J. Int., 108, 3298, 10.1111/j.1365-246X.1992.tb00861.x Stark, 1992, Inference in infinite-dimensional inverse problems: discretization and duality, J. Geophys. Res., 97, 14055, 10.1029/92JB00739 Tarantola, 1987, Inverse Problem Theory, 613 Tikhonov, 1977, Solutions of Ill-Posed Problems, 258 Wigner, 1959, Group Theory, 372