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Mathematical statistics
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====Special distributions==== *[[Normal distribution]], the most common continuous distribution *[[Bernoulli distribution]], for the outcome of a single Bernoulli trial (e.g. success/failure, yes/no) *[[Binomial distribution]], for the number of "positive occurrences" (e.g. successes, yes votes, etc.) given a fixed total number of [[independent (statistics)|independent]] occurrences *[[Negative binomial distribution]], for binomial-type observations but where the quantity of interest is the number of failures before a given number of successes occurs *[[Geometric distribution]], for binomial-type observations but where the quantity of interest is the number of failures before the first success; a special case of the negative binomial distribution, where the number of successes is one. *[[Discrete uniform distribution]], for a finite set of values (e.g. the outcome of a fair die) *[[Continuous uniform distribution]], for continuously distributed values *[[Poisson distribution]], for the number of occurrences of a Poisson-type event in a given period of time *[[Exponential distribution]], for the time before the next Poisson-type event occurs *[[Gamma distribution]], for the time before the next k Poisson-type events occur *[[Chi-squared distribution]], the distribution of a sum of squared [[standard normal]] variables; useful e.g. for inference regarding the [[sample variance]] of normally distributed samples (see [[chi-squared test]]) *[[Student's t distribution]], the distribution of the ratio of a [[standard normal]] variable and the square root of a scaled [[chi squared distribution|chi squared]] variable; useful for inference regarding the [[mean]] of normally distributed samples with unknown variance (see [[Student's t-test]]) *[[Beta distribution]], for a single probability (real number between 0 and 1); conjugate to the [[Bernoulli distribution]] and [[binomial distribution]]
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