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Environmental statistics is the application of statistical methods to environmental science. Weather, climate, air and water quality are included, as are studies of plant and animal populations. Epidemiology is the study of factors affecting the health and illness of populations, and serves as the foundation and logic of interventions made in ...
Statistics(from German: Statistik, orig."description of a state, a country"[1]) is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.[2] In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical populationor a statistical ...
Applications arose early in demography and economics; large areas of micro- and macro-economics today are "statistics" with an emphasis on time-series analyses. With its emphasis on learning from data and making best predictions, statistics also has been shaped by areas of academic research including psychological testing, medicine and ...
Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical analysis , linear algebra , stochastic analysis , differential equations , and measure theory .
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. [1] [2] The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches.
In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in the fields of physics, biology, [1] chemistry, neuroscience, [2] computer science, [3] [4] information theory [5] and ...
The Birnbaum–Saunders distribution, also known as the fatigue life distribution, is a probability distribution used extensively in reliability applications to model failure times. The chi distribution. The noncentral chi distribution; The chi-squared distribution, which is the sum of the squares of n independent Gaussian random variables.
Order statistics have a lot of applications in areas as reliability theory, fnancial mathematics, survival analysis, epidemiology, sports, auqlity control, actuarial risk, etc. There is an extensive literature devoted to studies on applications of order statistics in these fields.