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central statistical theorem

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  • Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… …   Wikipedia

  • central limit theorem — Statistics. any of several theorems stating that the sum of a number of random variables obeying certain conditions will assume a normal distribution as the number of variables becomes large. [1950 55] * * * In statistics, any of several… …   Universalium

  • Central limit theorem for directional statistics — In probability theory, the central limit theorem states conditions under which the mean of a sufficiently large number of independent random variables, each with finite mean and variance, will be approximately normally distributed.[1] Directional …   Wikipedia

  • Central Limit Theorem - CLT — A statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population.… …   Investment dictionary

  • Statistical regularity — is a notion in statistics and probability theory that random events exhibit regularity when repeated enough times or that enough sufficiently similar random events exhibit regularity. It is an umbrella term that covers the law of large numbers,… …   Wikipedia

  • Statistical inference — In statistics, statistical inference is the process of drawing conclusions from data that are subject to random variation, for example, observational errors or sampling variation.[1] More substantially, the terms statistical inference,… …   Wikipedia

  • Statistical power — The power of a statistical test is the probability that the test will reject a false null hypothesis (that it will not make a Type II error). As power increases, the chances of a Type II error decrease. The probability of a Type II error is… …   Wikipedia

  • Statistical thermodynamics — In thermodynamics, statistical thermodynamics is the study of the microscopic behaviors of thermodynamic systems using probability theory. Statistical thermodynamics, generally, provides a molecular level interpretation of thermodynamic… …   Wikipedia

  • Fluctuation theorem — The fluctuation theorem (FT) is a theorem from statistical mechanics dealing with the relative probability that the entropy of a system which is currently away from thermodynamic equilibrium (maximum entropy) will increase or decrease over a… …   Wikipedia

  • Donsker's theorem — In probability theory, Donsker s theorem, named after M. D. Donsker, identifies a certain stochastic process as a limit of empirical processes. It is sometimes called the functional central limit theorem. A centered and scaled version of… …   Wikipedia

  • Cramér's theorem — In mathematical statistics, Cramér s theorem (or Cramér’s decomposition theorem) is one of several theorems of Harald Cramér, a Swedish statistician and probabilist. Contents 1 Normal random variables 2 Large deviations 3 Slut …   Wikipedia

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