Prague, Czech Republic

Probability and Mathematical Statistics

Language: English Studies in English

Subject area: mathematics and statistics

University website: www.cuni.cz

Years of study: 4

Mathematical Statistics

Mathematical statistics is the application of mathematics to statistics, as opposed to techniques for collecting statistical data. Mathematical techniques which are used for this include mathematical analysis, linear algebra, stochastic analysis, differential equations, and measure-theoretic probability theory.

Wikipedia

Probability

Probability is the measure of the likelihood that an event will occur. See glossary of probability and statistics. Probability is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

Wikipedia

Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data. In applying statistics to, for example, a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model process to be studied. Populations can be diverse topics such as "all people living in a country" or "every atom composing a crystal". Statistics deals with all aspects of data including the planning of data collection in terms of the design of surveys and experiments. See glossary of probability and statistics.

Wikipedia

Statistics

There are three kinds of lies: lies, damned lies, and statistics.

Attributed to Benjamin Disraeli by Mark Twain in "Chapters from My Autobiography — XX", North American Review No. DCXVIII (JULY 5, 1907) [1]. His attribution is unverified and the origin is uncertain: see Lies, damned lies, and statistics and Leonard H. Courtney. Other authors to whom the quote has been attributed, as reported in Respectfully Quoted: A Dictionary of Quotations (1989), include Henry Labouchère, Abram S. Hewitt, and Holloway H. Frost.

Wikiquote

Statistics

There are two kinds of statistics, the kind you look up and the kind you make up.

Archie Goodwin, in Rex Stout's Nero Wolfe novel Death of a Doxy (1966)

Wikiquote

Statistics

Although its evolution in the United States differed markedly from that of applied mathematics, statistics, too, benefited from the presence of the emigres and from the overall war effort. After a protracted period of professional differentiation from the social scientists and from the social sciences, mathematical statisticians had formed their own society, the Institute of Mathematical Statistics (IMS), in 1935. By 1938, the IMS had also taken over responsibility for the Annals of Mathematical Statistics, a journal that had been founded in 1929 to serve the needs of the more mathematically and theoretically inclined statistical practitioners. Thus, when refugees like Neyman, William Feller, Mark Kac, and Abraham Wald took up positions in the United States at Berkeley, Brown, Cornell, and Columbia, respectively, they were able to participate in a young, but viable, community of mathematical statisticians.

Karen Hunger Parshall, "Perspectives on American Mathematics", Bulletin of the American Mathematical Society (2000) 37: 381–405.

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Physical sciences, Earth sciences

EU-research 'clears' the way for high quality lakes and reservoirs

The growth of blue-green algae in our lakes, large ponds, water reservoirs and public waters constitutes a problem for our environment and for our health. These types of algae often result in a deterioration of the water quality and emit a distinctly unpleasant odour. The algae consume a lot of oxygen in the water, leaving little for other animals like fish. They also produce toxins which can cause skin irritations and are suspected to be involved in the occurrence of liver cancer.

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