Neutron Scattering Data Analysis 1990, Proceedings of the Conference on Neutron Scattering, 14-16 March 1990, Rutherford Appleton Laboratory, UKM. W. Johnson |
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Page 48
... likelihood function : prob [ DIS , E ] . It represents how likely it would be that we would measure the data that we did , given a ( trial ) scattering law and the experimental setup ; it is often of the form exp ( -x2 / 2 ) , where x2 ...
... likelihood function : prob [ DIS , E ] . It represents how likely it would be that we would measure the data that we did , given a ( trial ) scattering law and the experimental setup ; it is often of the form exp ( -x2 / 2 ) , where x2 ...
Page 49
... likelihood function or the prior p.d.f. , we must formulate the precise question we wish to answer . Formally , we must define the space of possible answers or choose the hypothesis space . In neutron scattering we may say that we wish ...
... likelihood function or the prior p.d.f. , we must formulate the precise question we wish to answer . Formally , we must define the space of possible answers or choose the hypothesis space . In neutron scattering we may say that we wish ...
Page 52
... function : pr ( { Data } | A , x , ) . The horizontal and vertical axes represent the values of the two parameters , A & x ,, that we wish to estimate ; the contours are lines of equal likelihood . The shape of the likelihood function ...
... function : pr ( { Data } | A , x , ) . The horizontal and vertical axes represent the values of the two parameters , A & x ,, that we wish to estimate ; the contours are lines of equal likelihood . The shape of the likelihood function ...
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Acta Cryst algorithm applications approach atoms Bayesian beam Bragg peaks calculated configuration constraints coordinates corresponding cost function cross-section crystallographic Data Anal data analysis data set defined determined diffraction data diffractometer distribution elastic scattering energy error bars example experiment experimental Figure Fourier transform Gaussian GENIE GENIE-V3 histogram inelastic instrument intensity interpolation inverse ISIS likelihood function magnetic structure Markov chain matrix MaxEnt Reconstruction Maximum Entropy McGreevy measured method molecular MoO3 neutron diffraction neutron scattering normalisation normalization obtained optimisation optimization problems parameters Patterson map performed Phys plot positive powder diffraction presented at Neutron prior probability procedure quasielastic refinement reflectivity data resolution function ROTAX Rutherford Appleton Laboratory sample scan Scatt scattering law shown simulated annealing single crystal solution spectra spectrometer spectrum statistical structure factor symmetry temperature time-of-flight truncation UNIRAS unit cell vanadium vector wavelength workspace