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 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 ...
Page 224
... function of the scattering vector Q ( see Fig . 1 ) . This inference can be summarised with the conditional ... likelihood function , prob [ R ( Q ) [ B ( z ) ] , which tells us how likely it is that we would have obtained our particular ...
... function of the scattering vector Q ( see Fig . 1 ) . This inference can be summarised with the conditional ... likelihood function , prob [ R ( Q ) [ B ( z ) ] , which tells us how likely it is that we would have obtained our particular ...
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additional algorithm allows analysis angle applications approach atoms average beam Bragg calculated cell combinatorial optimization configuration constant coordinates correction corresponding cost counts cross-section crystal deconvolution defined density dependent described detector determined diffraction direct display distribution effects elastic scattering energy error estimate example experiment experimental Figure final Fourier function give given inelastic intensity ISIS known limit magnetic Maximum Entropy measured method neutron neutron scattering normalization obtained optimization parameters particular peak performed Phys physical plot positive possible powder presented prior probability problem procedure radial distribution functions range reconstruction References refinement reflections resolution sample scale scan shown shows simulated annealing single solution space spectrum standard statistical structure factor temperature transfer transform unit usually vanadium vector wavelength