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Description of continuous random distribution
In probability theory, a probability density function (PDF), density function, or simply density of an absolutely continuous random variable, is a function
Probability_density_function
Probability that random variable X is less than or equal to x
In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution
Cumulative distribution function
Cumulative_distribution_function
Type of probability distribution
cumulative distribution function and either in terms of a joint probability density function (in the case of continuous variables) or joint probability mass
Joint probability distribution
Joint_probability_distribution
Topics referred to by the same term
Probability distribution function may refer to: Probability distribution, a function that gives the probabilities of occurrence of possible outcomes for
Probability distribution function
Probability_distribution_function
Discrete-variable probability distribution
In probability and statistics, a probability mass function (sometimes called probability function or frequency function) is a function that gives the
Probability_mass_function
Mathematical function for the probability a given outcome occurs in an experiment
a probability distribution tells us how likely different results are. Formally, it is a probability measure: a function that assigns probabilities to
Probability_distribution
Statistical function that defines the quantiles of a probability distribution
In probability and statistics, a probability distribution's quantile function is the inverse of its cumulative distribution function. That is, the quantile
Quantile_function
Probability theory and statistics concept
In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome
Conditional probability distribution
Conditional_probability_distribution
Probability distribution
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued
Normal_distribution
Probability distribution
probability theory and statistics, the geometric distribution is either one of two discrete probability distributions: The probability distribution of
Geometric_distribution
Conditional probability used in Bayesian statistics
The two are related as follows: Given a prior belief that a probability distribution function is p ( θ ) {\displaystyle p(\theta )} and that the observations
Posterior_probability
Probability distribution
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes
Binomial_distribution
Smooth approximation of one-hot arg max
softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution over K
Softmax_function
Continuous probability distribution
In probability theory and statistics, the logistic distribution is a continuous probability distribution. Its cumulative distribution function is the
Logistic_distribution
Many probability distributions that are important in theory or applications have been given specific names. The Bernoulli distribution, which takes value
List of probability distributions
List_of_probability_distributions
Concept in probability theory and statistics
In probability theory and statistics, the moment generating function of a real-valued random variable is a generating function that provides an alternative
Moment_generating_function
Power series derived from a discrete probability distribution
In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of
Probability generating function
Probability_generating_function
Property of having a unique mode or maximum value
with the same probability. Figure 2 and Figure 3 illustrate bimodal distributions. Other definitions of unimodality in distribution functions also exist
Unimodality
Discrete probability distribution
In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a
Poisson_distribution
Fourier transform of the probability density function
In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution. If
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
Function related to statistics and probability theory
and continuous probability distributions (a more general definition is discussed below). Given a probability density or mass function x ↦ f ( x ∣ θ )
Likelihood_function
Topics referred to by the same term
Distribution function may refer to Cumulative distribution function, a basic concept of probability theory Distribution function (physics), a function
Distribution_function
Probability distribution
The Pareto distribution, named after the Italian polymath Vilfredo Pareto, is a probability distribution in the form of a power law that is used to describe
Pareto_distribution
Continuous probability distribution
In probability theory and statistics, the Weibull distribution /ˈwaɪbʊl/ is a continuous probability distribution. It models a broad range of random variables
Weibull_distribution
Probability distribution
multiple variables is called a Dirichlet distribution. The probability density function (PDF) of the beta distribution, for 0 ≤ x ≤ 1 {\displaystyle 0\leq
Beta_distribution
Probability distribution of energy states of a system
a Boltzmann distribution (also called Gibbs distribution) is a probability distribution or probability measure that gives the probability that a system
Boltzmann_distribution
Type of probability distribution
In probability theory, the arcsine distribution is the probability distribution whose cumulative distribution function involves the arcsine and the square
Arcsine_distribution
Probability distribution
In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally
Log-normal_distribution
Probability distribution modeling a coin toss which need not be fair
In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution
Bernoulli_distribution
Probability distribution and special case of gamma distribution
In probability theory and statistics, the χ 2 {\displaystyle \chi ^{2}} -distribution with k {\displaystyle k} degrees of freedom is the distribution of
Chi-squared_distribution
Probability distribution
In probability theory and statistics, the negative binomial distribution, also called a Pascal distribution, is a discrete probability distribution that
Negative binomial distribution
Negative_binomial_distribution
Probability distribution
In probability theory and statistics, the gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential
Gamma_distribution
Probability distribution
In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance
Exponential_distribution
Probability distribution
In probability theory and statistics, the Laplace distribution is a continuous probability distribution named after Pierre-Simon Laplace. It is also sometimes
Laplace_distribution
Type of probability distribution
unchanged when its probability density function (for continuous probability distribution) or probability mass function (for discrete random variables) is
Symmetric probability distribution
Symmetric_probability_distribution
Probability of survival beyond any specified time
{\displaystyle T} has cumulative distribution function F ( t ) {\displaystyle F(t)} and probability density function f ( t ) {\displaystyle f(t)} on the
Survival_function
Probability distribution
few stable distributions with a probability density function that can be expressed analytically, the others being the normal distribution and the Lévy
Cauchy_distribution
Mathematical concept
Probability distribution fitting or simply distribution fitting is the fitting of a probability distribution to a series of data concerning the repeated
Probability distribution fitting
Probability_distribution_fitting
Type of probability distribution
and its probability density function is sometimes referred to as a mixture density. The cumulative distribution function (and the probability density
Mixture_distribution
Probability distribution of the sum of random variables
convolution/sum of probability distributions arises in probability theory and statistics as the operation in terms of probability distributions that corresponds
Convolution of probability distributions
Convolution_of_probability_distributions
Uniform distribution on an interval
that it is contained in the distribution's support. The probability density function of the continuous uniform distribution is f ( x ) = { 1 b − a for
Continuous uniform distribution
Continuous_uniform_distribution
Concept in statistics
probability and statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution
Compound probability distribution
Compound_probability_distribution
Probability distribution
probability theory and statistics, Student's t distribution (or simply the t distribution) t ν {\displaystyle t_{\nu }} is a continuous probability distribution
Student's_t-distribution
Probability distribution in mathematics
In probability theory and statistics, the zeta distribution is a discrete probability distribution. If X is a zeta-distributed random variable with parameter
Zeta_distribution
Probability distribution
The Cantor distribution is the probability distribution whose cumulative distribution function is the Cantor function. This distribution has neither a
Cantor_distribution
Probability distribution in physics
stable distribution for which a closed form expression of the probability density function is known. However, its probability density function is not
Holtsmark_distribution
Probability distribution used to model household income
called the "generalized log-logistic distribution". The Burr (Type XII) distribution has probability density function: f ( x ; c , k ) = c k x c − 1 ( 1
Burr_distribution
Family of continuous probability distributions
beta distribution, but much simpler to use especially in simulation studies since its probability density function, cumulative distribution function and
Kumaraswamy_distribution
Distribution of an uncertain quantity
A prior probability distribution (often simply called the prior probability, prior distribution, or prior) of an uncertain quantity is its assumed probability
Prior_probability
Specific probability distribution function, important in physics
mechanics), the Maxwell–Boltzmann distribution, or Maxwell(ian) distribution, is a particular probability distribution named after James Clerk Maxwell and
Maxwell–Boltzmann distribution
Maxwell–Boltzmann_distribution
Probability distribution
inverse-gamma distribution and a stable distribution. The probability density function of the Lévy distribution over the domain x ≥ μ {\displaystyle x\geq
Lévy_distribution
Topics referred to by the same term
Probability function may refer to: Probability distribution Probability axioms, which define a probability function Probability measure, a real-valued
Probability_function
Statistical distribution
distribution. It is characterised by its probability density function, within the support of the distribution, being proportional to the reciprocal of
Reciprocal_distribution
Distribution function associated with the empirical measure of a sample
distribution function is an estimate of the cumulative distribution function that generated the points in the sample. It converges with probability 1
Empirical distribution function
Empirical_distribution_function
Type of probability distribution
characteristic function of any infinitely divisible distribution is then called an infinitely divisible characteristic function. More rigorously, the probability distribution
Infinite divisibility (probability)
Infinite_divisibility_(probability)
Measure of the shape of a function
and the second moment is the moment of inertia. If the function is a probability distribution, then the first moment is the expected value, the second
Moment_(mathematics)
Probability distribution
In probability and statistics, the Dirichlet distribution (after Peter Gustav Lejeune Dirichlet), often denoted Dir ( α ) {\displaystyle \operatorname
Dirichlet_distribution
Particular case of the generalized extreme value distribution
In probability theory and statistics, the Gumbel distribution (also known as the type-I generalized extreme value distribution) is used to model the distribution
Gumbel_distribution
Continuous probability distribution
In probability theory and statistics, the hyperbolic secant distribution is a continuous probability distribution whose probability density function and
Hyperbolic secant distribution
Hyperbolic_secant_distribution
Aspect of probability and statistics
In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the
Marginal_distribution
Probability distribution
In probability theory and statistics, the skew normal distribution is a continuous probability distribution that generalises the normal distribution to
Skew_normal_distribution
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
Probability distribution
distribution, such as mean or variance, are undefined. The distribution is a particular case of stable distribution. The probability density function
Landau_distribution
Distribution of variables which satisfies a stability property under linear combinations
In probability theory, a distribution is said to be stable if a linear combination of two independent random variables with this distribution has the same
Stable_distribution
Variable representing a random phenomenon
and its distribution is a discrete probability distribution, i.e. can be described by a probability mass function that assigns a probability to each value
Random_variable
Conditional distribution in statistics
distribution is a conditional distribution that results from restricting the domain of some other probability distribution. Truncated distributions arise
Truncated_distribution
Probability distribution
semicircle distribution, named after the physicist Eugene Wigner, is the probability distribution defined on the domain [−R, R] whose probability density
Wigner semicircle distribution
Wigner_semicircle_distribution
Continuous probability distribution, named after Benjamin Gompertz
distributed according to the Gompertz distribution. The probability density function of the Gompertz distribution is: f ( x ; η , b ) = b η exp ( η +
Gompertz_distribution
Statistical distance measure
Shannon, is a method of measuring the similarity between two probability distributions. It is also known as information radius (IRad) or total divergence
Jensen–Shannon_divergence
Notions of probabilistic convergence, applied to estimation and asymptotic analysis
in distribution tells us about the limit distribution of a sequence of random variables. This is a weaker notion than convergence in probability, which
Convergence of random variables
Convergence_of_random_variables
Mathematical function having a characteristic "bell"-shaped curve
bell-shaped function is typically a sigmoid function. Bell shaped functions are also commonly symmetric. Many common probability distribution functions are bell
Bell-shaped_function
Topic in probability theory and statistics
In probability theory and statistics, there are several relationships among probability distributions. These relations can be categorized in the following
Relationships among probability distributions
Relationships_among_probability_distributions
Physical quantity of hot and cold
Maxwell–Boltzmann probability distribution function for the velocity of particles in an ideal gas. From that probability distribution function, the average
Temperature
Table of probabilities related to the normal distribution
the values of Φ, the cumulative distribution function of the normal distribution. It is used to find the probability that a statistic is observed below
Standard_normal_table
Probability distribution
random variable equal to a with probability 1. This is a special case of a discrete distribution; its probability mass function equals 1 in a and 0 everywhere
Degenerate_distribution
Discrete probability distribution
In probability theory and statistics, a categorical distribution (also called a generalized Bernoulli distribution, multinoulli distribution) is a discrete
Categorical_distribution
Probability distribution
In probability theory and statistics, the Rayleigh distribution is a continuous probability distribution for nonnegative-valued random variables. Up to
Rayleigh_distribution
Two-parameter family of continuous probability distributions
inverse gamma distribution differently, as a scaled inverse chi-squared distribution. The inverse gamma distribution's probability density function is defined
Inverse-gamma_distribution
(probability theory) Complementary event Elementary event Mutually exclusive Boole's inequality Probability density function Cumulative distribution function
List_of_probability_topics
Class of distance functions defined between probability distributions
In probability theory, integral probability metrics are types of distance functions between probability distributions, defined by how well a class of functions
Integral_probability_metric
Probability distribution with more than one mode
the probability density function, as shown in Figures 1 and 2. Categorical, continuous, and discrete data can all form multimodal distributions. Among
Multimodal_distribution
Continuous probability distribution for a non-negative random variable
In probability and statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for
Log-logistic_distribution
Branch of mathematics concerning probability
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations
Probability_theory
Statistics function
Q-function is the tail distribution function of the standard normal distribution. In other words, Q ( x ) {\displaystyle Q(x)} is the probability that
Q-function
Statistical distribution for dependence between random variables
In probability theory and statistics, a copula is a multivariate cumulative distribution function for which the marginal probability distribution of each
Copula_(statistics)
Discrete probability distribution
In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k {\displaystyle
Hypergeometric_distribution
Probability distribution
In probability theory and statistics, the triangular distribution is a continuous probability distribution with lower limit a, upper limit b, and mode
Triangular_distribution
Discrete probability distribution
In probability and statistics, the logarithmic distribution (also known as the logarithmic series distribution or the log-series distribution) is a discrete
Logarithmic_distribution
Combustion models of fuel reactions and energy release for computational fluid dynamics
all variables are calculated as functions of the mixture fraction around a presumed probability distribution function. The model can produce satisfactory
Combustion_models_for_CFD
Extension of the factorial function
factorial function do exist, but the gamma function is the most popular and useful. It appears as a factor in various probability-distribution functions and
Gamma_function
Generalized expected utility model of choice under uncertainty
transformations to be applied to the cumulative probability distribution function, rather than to individual probabilities (Quiggin, 1982, 1993). The central idea
Rank-dependent expected utility
Rank-dependent_expected_utility
Probability distribution of only one random variable
probability mass function for discrete variables, probability density function for continuous variables, or their cumulative distribution function, which applies
Univariate_distribution
Continuous function that is not absolutely continuous
positive probability to some interval to which this distribution assigns probability zero. In particular, as Vitali (1905) pointed out, the function is not
Cantor_function
Probability distribution on equally likely outcomes
In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein each of some finite whole number
Discrete_uniform_distribution
Probability distribution of the possible sample outcomes
In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic. For an arbitrarily
Sampling_distribution
Discrete probability distribution
Ntzoufras (2003) for details and an application. The probability mass function for the Skellam distribution for a difference K = N 1 − N 2 {\displaystyle K=N_{1}-N_{2}}
Skellam_distribution
Observed value of a random variable
model are often called "empirical", as in empirical distribution function or empirical probability. Conventionally, to avoid confusion, upper case letters
Realization_(probability)
Probability distribution
{\displaystyle \sigma } parametrization of the normal distribution, the probability density function (PDF) of the half-normal is given by f Y ( y ; σ ) =
Half-normal_distribution
Average uncertainty in variable's states
needed to describe the state of the variable, considering the distribution of probabilities across all potential states. Given a discrete random variable
Entropy_(information_theory)
their individual distributions. The term is motivated by the fact that the probability mass function or probability density function of a sum of independent
List of convolutions of probability distributions
List_of_convolutions_of_probability_distributions
PROBABILITY DISTRIBUTION-FUNCTION
PROBABILITY DISTRIBUTION-FUNCTION
Surname or Lastname
English
English : of uncertain origin. Reaney suggests that it may be habitational name from Wincheap Street in Canterbury, but this origin is not supported by the present-day distribution of the surname, which is heavily concentrated in northeastern England.
Boy/Male
Indian
Distributor, Divider
Boy/Male
Arabic, British, Islamic, Malaysian, Muslim, Pakistani, Tamil, Urdu
Distribution
Girl/Female
Indian, Sikh
Distributing Happiness
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from a place so called, perhaps Forshaw Heath in Solihull, Warwickshire, although the modern distribution is much further north.
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : in all probability from the Swale river in Yorkshire. (Reaney and Wilson list a 17th-century example, Swayles, with this origin.) Alternatively, it may be a metronymic from the Old Norse female personal name Svala.
Boy/Male
Indian
Distributor, Divider
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : apparently a habitational name from a lost or unidentified minor place in West Yorkshire, probably in the parish of Halifax, to judge by the distribution of early occurrences of the surname.
Girl/Female
Indian
Beautiful woman, Distributor, Divider
Surname or Lastname
English (Lincolnshire)
English (Lincolnshire) : unexplained. Black identified this as a Scottish name of Pictish origin. However, the modern distribution of the surname, almost exclusively in Lincolnshire and adjoining counties, suggests a more localized eastern English origin.
Boy/Male
Muslim
Distributor, Divider
Boy/Male
Muslim/Islamic
Divider distributor
Girl/Female
Muslim
Beautiful woman, Distributor, Divider
Surname or Lastname
English (Devon)
English (Devon) : unexplained. Reaney and Wilson suggest that this may be from an Anglo-Scandinavian personal name Tukka, but the distribution in England makes a Scandinavian connection unlikely.
Surname or Lastname
English
English : in all probability an English variant of Scottish Lachlan (see McLachlan), altered through folk etymology. However, Black cites one John sine terra (c. 1180–1214), suggesting that the surname could have arisen quite literally as a nickname for a man with no land.
Girl/Female
Arabic
Distributor
Girl/Female
Muslim
Beautiful woman, Distributor, Divider
Boy/Male
Muslim
Distributor, Divider
Girl/Female
Indian
Beautiful woman, Distributor, Divider
Boy/Male
Afghan, Arabic, German, Gujarati, Hindu, Indian, Kannada, Muslim, Pashtun, Sindhi
Divider; One who Divides; Distributor
PROBABILITY DISTRIBUTION-FUNCTION
PROBABILITY DISTRIBUTION-FUNCTION
Girl/Female
Christian, Indian, Spanish
The Laurel Tree; Sweet Bay Tree; Symbolic of Honor and Victory; Crowned with Laurels
Boy/Male
Norse
Son of Balder.
Girl/Female
English American
Darling. From the Old English 'dearling'.
Boy/Male
Muslim
Gift of God
Surname or Lastname
English
English : habitational name from Saintbury in Gloucestershire, recorded in the 12th century as Seynesbury. The place name is probably from the genitive case of the Old English personal name Sǣwine (composed of the elements sǣ ‘sea’ + wine ‘friend’) + Old English burh ‘castle’, ‘fortified town’.
Girl/Female
Hindu
The Goddess who is vedic in form
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Lightning; Thunder
Girl/Female
American, British, Danish, English, French, German, Hebrew, Latin, Swedish
Rejoicing; Joy; Jubilation; Jewel; Delight; Great Pleasure; Happiness; Joyful; Pleasure
Boy/Male
Hindu
Redeemer from afflictions
Girl/Female
Muslim American
Peaceful. Pacifist.
PROBABILITY DISTRIBUTION-FUNCTION
PROBABILITY DISTRIBUTION-FUNCTION
PROBABILITY DISTRIBUTION-FUNCTION
PROBABILITY DISTRIBUTION-FUNCTION
PROBABILITY DISTRIBUTION-FUNCTION
n.
One who maintains that a man may do that which has a probability of being right, or which is inculcated by teachers of authority, although other opinions may seem to him still more probable.
n.
Probability.
n.
One who maintains that certainty is impossible, and that probability alone is to govern our faith and actions.
a.
Of or pertaining to distribution.
n.
Likelihood; probability.
adv.
In all probability; probably.
n.
Probability.
n.
Probability; verisimilitude.
a.
Expressing separation; denoting a taking singly, not collectively; as, a distributive adjective or pronoun, such as each, either, every; a distributive numeral, as (Latin) bini (two by two).
n.
Probability; likelihood.
n.
The doctrine of the probabilists.
n.
Distribution; dealing; apportionment.
adv.
By distribution; singly; not collectively; in a distributive manner.
superl.
Having probability; affording probability; probable; likely.
n.
A distributive adjective or pronoun; also, a distributive numeral.
n.
The act of distributing or dispensing; the act of dividing or apportioning among several or many; apportionment; as, the distribution of an estate among heirs or children.
n.
Disposition; distribution; management.
n.
Distribution; apportionment.
pl.
of Probability
v. i.
To make distribution.