|
Deficiency (statistics)
In statistics, the deficiency is a measure to compare a statistical model with another statistical model. The concept was introduced in the 1960s by the French mathematician Lucien Le Cam, who used it to prove an approximative version of the Blackwell–Sherman–Stein theorem. Closely related is the Le Cam distance, a Pseudometric space, pseudometric for the maximum deficiency between two statistical models. If the deficiency of a model \mathcal in relation to \mathcal is zero, then one says \mathcal is ''better'' or ''more informative'' or ''stronger'' than \mathcal. Introduction Le Cam defined the statistical model more abstract than a probability space with a family of probability measures. He also didn't use the term "statistical model" and instead used the term "experiment". In his publication from 1964 he introduced the statistical experiment to a parameter set \Theta as a triple (X,E,(P_\theta)_) consisting of a set X, a vector lattice E with unit I and a family of normal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Statistics
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of statistical survey, surveys and experimental design, experiments. When census data (comprising every member of the target population) cannot be collected, statisticians collect data by developing specific experiment designs and survey sample (statistics), samples. Representative sampling assures that inferences and conclusions can reasonably extend from the sample ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
