In this paper we consider fitting of a histogram, say a time distribution, with a fit function f(x, t), where x≡ {xi} is a vector of fit parameters. We start with the equation for statistical fluctuations of fit parameters as functions of fluctuations in the number of counts in the histogram channels, Nn, and discuss the following topics: • statistical errors and correlations of fit parameters;...

Correlations between theoretical predictions and data can be higher for incorrect than for correct models, as illustrated by analyses of two sets of hypothetical data. This fact raises questions about the conclusions of recent studies that use correlation as an index of fit. Functional measurement provides a sounder basis for model evaluation by placing scaling in the context of model fitting a...

The aim of this article is to characterize the penetration bias of the ENVIronmental SATellite (ENVISAT) radar altimeter over the Antarctic ice sheet through comparison with the more accurate measurements of the Ice, Cloud and land Elevation Satellite (ICESat) altimeter at crossover points. We studied the difference between ENVISAT and ICESat fluctuations over six years. We observed the same pa...

In this study, we propose three extended fitting methods to the standard ASM(active shape model). Firstly, profiles are extended from 1D to 2D; Secondly, profiles of different landmarks are constructed individually; Thirdly, length of the profiles is determined adaptively with the change of level during searching, and the displacements in the last level are constrained. Each method and the comb...

In this paper we present a general formalism to model several levels of meta information on spatial content. In particular, we expand on a two-level procedure of Bayesian inference: model fitting and model selection. We study five cases of extraction of spatial information from remote sensing images using this scheme. In this way, we put together pieces of information obtained from different le...