Relationships among probability distributions | t distribution and gamma distribution
TopicinprobabilitytheoryandstatisticsRelationshipsamongsomeofunivariateprobabilitydistributionsareillustratedwithconnectedlines.dashedlinesmeansapproximaterelationship.moreinfo:[1]RelationshipsbetweenunivariateprobabilitydistributionsinProbOnto.[2]Inprobabilitytheoryandstatistics,thereareseveralrelationshipsamongprobabilitydistributions.Theserelationscanbecategorizedinthefollowinggroups:OnedistributionisaspecialcaseofanotherwithabroaderparameterspaceTransforms(functionofarandomvariable);Comb...
Topic in probability theory and statistics
Relationships among some of univariate probability distributions are illustrated with connected lines. dashed lines means approximate relationship. more info:[1]Relationships between univariate probability distributions in ProbOnto.[2]In probability theory and statistics, there are several relationships among probability distributions. These relations can be categorized in the following groups:
One distribution is a special case of another with a broader parameter space Transforms (function of a random variable); Combinations (function of several variables); Approximation (limit) relationships; Compound relationships (useful for Bayesian inference); Duality[clarification needed]; Conjugate priors.Special case of distribution parametrization[edit] Transform of a variable[edit] Multiple of a random variable[edit]Multiplying the variable by any positive real constant yields a scaling of the original distribution. Some are self...