Applied statistics: A review

The main phases of applied statistical work are discussed in general terms. The account starts with the clarification of objectives and proceeds through study design, measurement and analysis to interpretation. An attempt is made to extract some general notions.Comment: Published at http://dx.doi.org/10.1214/07-AOAS113 in the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org

Fractional exclusion statistics applied to relativistic nuclear matter

The effect of statistics of the quasiparticles in the nuclear matter at extreme conditions of density and temperature is evaluated in the relativistic mean-field model generalized to the framework of the fractional exclusion statistics (FES). In the model, the nucleons are described as quasiparticles obeying FES and the model parameters were chosen to reproduce the ground state properties of the isospin-symmetric nuclear matter. In this case, the statistics of the quasiparticles is related to the strengths of the nucleon-nucleon interaction mediated by the neutral scalar and vector meson fields. The relevant thermodynamic quantities were calculated as functions of the nucleons density, temperature and fractional exclusion statistics parameter $\alpha$. It has been shown that at high temperatures and densities the thermodynamics of the system has a strong dependence on the statistics of the particles. The scenario in which the nucleon-nucleon interaction strength is independent of the statistics of particles was also calculated, but it leads in general to unstable thermodynamics.Comment: 17 pages, 7 figure

Factors affecting the ratio of currency demand to total monetary assets in Malta

There are a number of factors influencing individuals` and firms decisions to hold currency rather than other forms of monetary assets. An important motive is to buy consumer goods and services in the case of individuals, and to pay wages and salaries and other short term business expenses in the case of firms. This can be loosely be called the “transactions” motive. Another reason, loosely termed here as the “asset” motive, is related to changes in the rate of interest. In macroeconomic theory, we also encounter the “speculative” motive which is related to expected, rather than actual changes in interest rates. Another reason, which is of some importance in the Maltese economy, is to conceal economic activity for tax evasion. Thus underground activity covers production which is not, but should be, included in the computation of GDP. The purpose of this paper is to propose a model which associates currency demand with the underground economy and which quantitatively estimates the elasticities associated with currency demand. An attempt will be made also to estimate the size off the underground economy in Malta.peer-reviewe

Correction: A correlated topic model of Science

Correction to Annals of Applied Statistics 1 (2007) 17--35 [doi:10.1214/07-AOAS114]Comment: Published in at http://dx.doi.org/10.1214/07-AOAS136 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org

Introducing the discussion paper by Sz\'{e}kely and Rizzo

Introducing the discussion paper by Sz\'{e}kely and RizzoComment: Published in at http://dx.doi.org/10.1214/09-AOAS34INTRO the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org

Non-parametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets

We propose new summary statistics to quantify the association between the components in coverage-reweighted moment stationary multivariate random sets and measures. They are defined in terms of the coverage-reweighted cumulant densities and extend classic functional statistics for stationary random closed sets. We study the relations between these statistics and evaluate them explicitly for a range of models. Unbiased estimators are given for all statistics and applied to simulated examples.Comment: Added examples in version

Change-point model on nonhomogeneous Poisson processes with application in copy number profiling by next-generation DNA sequencing

We propose a flexible change-point model for inhomogeneous Poisson Processes, which arise naturally from next-generation DNA sequencing, and derive score and generalized likelihood statistics for shifts in intensity functions. We construct a modified Bayesian information criterion (mBIC) to guide model selection, and point-wise approximate Bayesian confidence intervals for assessing the confidence in the segmentation. The model is applied to DNA Copy Number profiling with sequencing data and evaluated on simulated spike-in and real data sets.Comment: Published in at http://dx.doi.org/10.1214/11-AOAS517 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org