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Pearson distribution and Student's t-distribution

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Pearson distribution and Student's t-distribution

Pearson distribution vs. Student's t-distribution

The Pearson distribution is a family of continuous probability distributions. In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

Similarities between Pearson distribution and Student's t-distribution

Pearson distribution and Student's t-distribution have 23 things in common (in Unionpedia): Beta function, Cauchy distribution, Chi-squared distribution, F-distribution, Gamma distribution, Gamma function, Inverse-gamma distribution, Kurtosis, Location parameter, Location–scale family, Mean, Moment (mathematics), Normal distribution, Posterior probability, Probability density function, Probability distribution, Probability mass function, Scale parameter, Skewness, Spearman's rank correlation coefficient, Standard deviation, Variance, William Sealy Gosset.

Beta function

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for.

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Cauchy distribution

The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution.

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Chi-squared distribution

No description.

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F-distribution

No description.

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Gamma distribution

In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions.

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Gamma function

In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.

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Inverse-gamma distribution

In probability theory and statistics, the inverse gamma distribution is a two-parameter family of continuous probability distributions on the positive real line, which is the distribution of the reciprocal of a variable distributed according to the gamma distribution.

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Kurtosis

In probability theory and statistics, kurtosis (from κυρτός, kyrtos or kurtos, meaning "curved, arching") is a measure of the "tailedness" of the probability distribution of a real-valued random variable.

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Location parameter

In statistics, a location family is a class of probability distributions that is parametrized by a scalar- or vector-valued parameter x_0, which determines the "location" or shift of the distribution.

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Location–scale family

In probability theory, especially in mathematical statistics, a location–scale family is a family of probability distributions parametrized by a location parameter and a non-negative scale parameter.

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Mean

In mathematics, mean has several different definitions depending on the context.

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Moment (mathematics)

In mathematics, a moment is a specific quantitative measure, used in both mechanics and statistics, of the shape of a set of points.

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Normal distribution

In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.

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Posterior probability

In Bayesian statistics, the posterior probability of a random event or an uncertain proposition is the conditional probability that is assigned after the relevant evidence or background is taken into account.

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Probability density function

In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.

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Probability distribution

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Probability mass function

In probability and statistics, a probability mass function (pmf) is a function that gives the probability that a discrete random variable is exactly equal to some value.

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Scale parameter

In probability theory and statistics, a scale parameter is a special kind of numerical parameter of a parametric family of probability distributions.

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Skewness

In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean.

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Spearman's rank correlation coefficient

In statistics, Spearman's rank correlation coefficient or Spearman's rho, named after Charles Spearman and often denoted by the Greek letter \rho (rho) or as r_s, is a nonparametric measure of rank correlation (statistical dependence between the rankings of two variables).

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Standard deviation

In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

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Variance

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.

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William Sealy Gosset

William Sealy Gosset (13 June 1876 – 16 October 1937) was an English statistician.

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The list above answers the following questions

Pearson distribution and Student's t-distribution Comparison

Pearson distribution has 57 relations, while Student's t-distribution has 102. As they have in common 23, the Jaccard index is 14.47% = 23 / (57 + 102).

References

This article shows the relationship between Pearson distribution and Student's t-distribution. To access each article from which the information was extracted, please visit:

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