The origins of the word “martingale”.
The output least squares identifiability of the diffusion coefficient from an H–observation in a 2–D elliptic equation
Output least squares stability for the diffusion coefficient in an elliptic equation in dimension two is analyzed. This guarantees Lipschitz stability of the solution of the least squares formulation with respect to perturbations in the data independently of their attainability. The analysis shows the influence of the flow direction on the parameter to be estimated. A scale analysis for multi-scale resolution of the unknown parameter is provided.
The Output Least Squares Identifiability of the Diffusion Coefficient from an H1–Observation in a 2–D Elliptic Equation
Output least squares stability for the diffusion coefficient in an elliptic equation in dimension two is analyzed. This guarantees Lipschitz stability of the solution of the least squares formulation with respect to perturbations in the data independently of their attainability. The analysis shows the influence of the flow direction on the parameter to be estimated. A scale analysis for multi-scale resolution of the unknown parameter is provided.
The p and the Peas: An Intuitive Modeling Approach to Hypothesis Testing
We propose a novel approach to introducing hypothesis testing into the biology curriculum. Instead of telling students the hypothesis and what kind of data to collect followed by a rigid recipe of testing the hypothesis with a given test statistic, we ask students to develop a hypothesis and a mathematical model that describes the null hypothesis. Simulation of the model under the null hypothesis allows students to compare their experimental data...
The picture of statistics within several treatises. (Les images de la statistique à travers ses traités.)
The piece number 32: presentation of sizes by figures. §§885–902 from the 4th part. “The size” of architecture. (Zwey und dreyßigstus Hauptstück: Vorstellung der Grössen durch Figuren. §§885–902 vom 4. Theil “Die Grösse” der Architectonic (1765).)
The political arithmetic in Germany in the beginning of the 19th century: reception and polemics. (L'arithmétique politique en Allemagne au début du XIXe siècle: réceptions et polémiques.)
The possibilities of the linear discriminant method for decision
The post randomisation method for protecting microdata.
This paper describes the Post Randomisation Method (PRAM) for disclosure protection of microdata. Applying PRAM means that for each record in the data file according to a specified probability mechanism the score on a number of variables is changed. Since this probability mechanism is known, the characteristics of the latent true data can unbiasedly be estimated from the observed data moments in the perturbed file.PRAM is applied to categorical variables. It is shown that both cross-tabulation and...
The posterior predictive p-value: An alternative to the classical p-value.
The predictive distribution in decision theory: A case study.
The price for risk-taking: marine insurance and probability calculus in the late Middle Ages.
The problem of determining estimators for different structural parameters in the case of credibility results for weighted contracts
This paper presents and analyzes the estimators of the structural parameters, in the Bühlmann-Straub model, involving complicated mathematical properties of conditional expectations and of conditional covariances. So to enable to use the better linear credibility results obtained in this model, we will provide useful estimators for the structure parameters. From the practical point of view it is stated the attractive property of unbiasedness for these estimators.
The problem of determining estimators for the different structural parameters in the case of the credibility results for weighted contracts.
The Problem of Optimum Stratification and Allocation with q = n N > 0
The problem of points before Pascal. (Le problème des partis avant Pascal.)
The problem of Waldegrave.
The “progressive mixture” estimator for regression trees
The recursive identification problem in control and signal processing applications
The regenerative process with rare event appears on the second phase.