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

Probability

Probability is too important to be left to the experts. [...] The experts, by their very expert training and practice, often miss the obvious and distort reality seriously. [...] The desire of the experts to publish and gain credit in the eyes of their peers has distorted the development of probability theory from the needs of the average user. The comparatively late rise of the theory of probability shows how hard it is to grasp, and the many paradoxes show clearly that we, as humans, lack a well grounded intuition in the matter. Neither the intuition of the man in the street, nor the sophisticated results of the experts provides a safe basis for important actions in the world we live in.

Richard Hamming, The Art of Probability for Scientists and Engineers (1991), p. 4 [emphasis in original]

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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)

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