Abstract Maximum likelihood fits to data can be done using binned data (histograms) and unbinned data. With binned data, one gets not only the fitted parameters but also a measure of the goodness of fit. With unbinned data, currently, the fitted parameters are obtained but no measure of goodness of fit is available. This remains, to date, an unsolved problem in statistics. Using Bayes theorem a...

This paper reports our empirical evaluation and comparison of several popular goodness measures for unsupervised segmentation of Chinese texts using Bakeoff-3 data sets with a unified framework. Assuming no prior knowledge about Chinese, this framework relies on a goodness measure to identify word candidates from unlabeled texts and then applies a generalized decoding algorithm to find the opti...

We review two powerful methods to test the Gaussianity of the cosmic microwave background (CMB): one based on the distribution of spherical wavelet coefficients and the other on smooth tests of goodness-of-fit. The spherical wavelet families proposed to analyse the CMB are the Haar and the Mexican Hat ones. The latter is preferred for detecting non-Gaussian homogeneous and isotropic primordial ...

The following is a brief review of three landmark papers of Peter Bickel on theoretical and methodological aspects of nonparametric density and regression estimation and the related topic of goodness-of-fit testing, including a class of semiparametric goodness-of-fit tests. We consider the context of these papers, their contribution and their impact. Bickel’s first work on density estimation wa...

based on a meta-theoretical analysis of voting, the present paper is an attempt to present a theoretical model encompassing all the possible aspects of voting in an election action system, proposing four sub-systems of voting as follows: economic voting, political voting, cultural voting and moral voting. having distinguished among these sub-systems, the writer describes the constitutive elemen...

Intermittent fault localization approaches account for the fact that faulty components may fail intermittently by considering a parameter (known as goodness) that quantifies the probability that faulty components may still exhibit correct behavior. Current, state-of-the-art approaches (1) assume that this goodness probability is context independent and (2) do not provide means for integrating p...

It has been said that “goodness without knowledge is weak and feeble, yet knowledge without goodness is dangerous.”1 Peter Diamond is one of those extremely rare people who combine knowledge and goodness. Indeed—and I hope this doesn’t offend anyone in the room—Peter is probably the smartest person I know. In addition to that, he is simply a wonderful person and colleague. I am thrilled that th...

In this paper we review the goodness-of-fit problem for assessing whether a sample is consistentwith the Pareto-type model. To this end we introduce a general kernel goodness-of-fit statistic. Thederivation of the proposed class is based on the close link between the strict Pareto and the exponentialdistribution and puts some of the available goodness-of-fit procedures for the latte...

Polygonal hybrid systems (SPDIs) are planar hybrid systems, whose dynamics are defined in terms of constant differential inclusions, one for each of a number of polygonal regions partitioning the plane. The reachability problem for SPDIs is known to be decidable, but depends on the goodness assumption — which states that the dynamics do not allow a trajectory to both enter and leave a region th...