Normal distributionIn probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The…View analysis →
ProbabilityProbability concerns events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the…View analysis →
Probability distributionIn probability theory and statistics, a probability distribution describes how probabilities are assigned to the possible results of a random phenomenon—more precisely, to…View analysis →
Random variableA random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events…View analysis →
StochasticStochasticity is the property of being well-described by a random probability distribution. Stochasticity and randomness are technically distinct concepts: stochasticity refers…View analysis →
Probability theoryProbability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability…View analysis →
Probability density functionIn probability theory, a probability density function (PDF), density function, or simply density of an absolutely continuous random variable, is a function whose value at any…View analysis →
Probability spaceIn probability theory, a probability space or a probability triple ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} is a mathematical construct that provides a formal…View analysis →
Compound probability distributionIn probability and statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution that results…View analysis →
Bernoulli distributionIn probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable…View analysis →
Probability generating functionIn probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass…View analysis →
Moment generating functionIn probability theory and statistics, the moment generating function of a real-valued random variable is a generating function that provides an alternative specification of the…View analysis →
Central momentIn probability theory and statistics, a central moment is a moment of a probability distribution of a random variable about the random variable's mean; that is, it is the…View analysis →
Regular conditional probabilityIn probability theory, regular conditional probability is a concept that formalizes the notion of conditioning on the outcome of a random variable. The resulting conditional…View analysis →
Circular distributionIn probability and statistics, a circular distribution or polar distribution is a probability distribution of a random variable whose values are angles, usually taken to be in…View analysis →
Stochastic processIn probability theory and related fields a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random variables in a probability…View analysis →
Log-normal distributionIn probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. Thus, if…View analysis →
Mixture distributionIn probability and statistics, a mixture distribution is the probability distribution of a random variable that is derived from a collection of other random variables as follows…View analysis →
Lévy distributionIn probability theory and statistics, the Lévy distribution, named after Paul Lévy, is a continuous probability distribution for a non-negative random variable. In spectroscopy…View analysis →
Joint probability distributionGiven random variables X , Y , … {\displaystyle X,Y,\ldots } , that are defined on the same probability space, the multivariate or joint probability distribution for X , Y , ……View analysis →
Conditional probability distributionIn probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome given the occurrence of…View analysis →
Arcsine distributionIn probability theory, the arcsine distribution is the probability distribution whose cumulative distribution function involves the arcsine and the square root:View analysis →
Wrapped distributionIn probability theory and directional statistics, a wrapped probability distribution is a continuous probability distribution that describes data points that lie on a unit…View analysis →