Multi-parameters Models

In this chapter we consider examples for which we want to estimate more than a single parameter. These common problems include estimating location and spread. We also consider examples that require the modeling of two populations (one we are interested in and a nuisance population) or averaging incompatible measurements. We also introduce quite complex examples dealing with upper limits and with a larger–than–expected scatter.

[1]  D. Burrows,et al.  Determination of Confidence Limits for Experiments with Low Numbers of Counts , 1991 .

[2]  E. Armengaud,et al.  Preliminary results of a WIMP search with EDELWEISS-II cryogenic detectors , 2010, 1011.2319.

[3]  S. Andreon,et al.  Morphology of galaxies in the Coma cluster region down to MB = --14.25 , 2008, 0809.2487.

[4]  R. Bouwens,et al.  The Morphology-Density Relation in z ~ 1 Clusters , 2005, astro-ph/0501224.

[5]  H. Prosper A BAYESIAN ANALYSIS OF EXPERIMENTS WITH SMALL NUMBERS OF EVENTS , 1985 .

[6]  Galaxy evolution in clusters up to z= 1.0 , 2004, astro-ph/0405617.

[7]  CHANDRA STUDIES OF THE X-RAY GAS PROPERTIES OF GALAXY GROUPS , 2009 .

[8]  E Aprile,et al.  First dark matter results from the XENON100 experiment. , 2010, Physical review letters.

[9]  Inferring the success parameter p of a binomial model from small samples affected by background , 2004, physics/0412069.

[10]  The Butcher–Oemler effect at z∼ 0.35: a change in perspective , 2006, astro-ph/0601167.

[11]  B. Williams,et al.  THE CHANDRA LOCAL VOLUME SURVEY: THE X-RAY POINT-SOURCE POPULATION OF NGC 404 , 2012, 1212.2188.

[12]  William H. Press Understanding Data Better with Bayesian and Global Statistical Methods , 1996 .

[13]  S. Borgani,et al.  The cluster gas mass fraction as a cosmological probe: a revised study , 2009, 0904.2740.

[14]  S. Andreon The stellar mass fraction and baryon content of galaxy clusters and groups , 2010, 1004.2785.

[15]  J. Strader,et al.  THE SLUGGS SURVEY: NGC 3115, A CRITICAL TEST CASE FOR METALLICITY BIMODALITY IN GLOBULAR CLUSTER SYSTEMS , 2012, 1209.5390.

[16]  Vinay L. Kashyap,et al.  Bayesian Estimation of Hardness Ratios: Modeling and Computations , 2006 .

[17]  Michael Wurm,et al.  Observation of geo-neutrinos , 2010 .

[18]  D. Britt,et al.  Asteroid Density, Porosity, and Structure , 2002 .

[19]  S. Andreon,et al.  Do X-ray dark or underluminous galaxy clusters exist? , 2011, 1109.4031.