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Discrete-stable distributions are a class of probability distributions with the property that the sum of several random variables from such a distribution
Discrete-stable_distribution
Distribution of variables which satisfies a stability property under linear combinations
to be stable if its distribution is stable. The stable distribution family is also sometimes referred to as the Lévy alpha-stable distribution, after
Stable_distribution
Discrete probability distribution
Poisson distribution is named after French mathematician Siméon Denis Poisson. It plays an important role for discrete-stable distributions. Under a
Poisson_distribution
Probability distribution
limit theorem includes a discrete-to-continuum approximation and where infinitely divisible and decomposable distributions are involved, such as Binomial
Normal_distribution
Particular case of the generalized extreme value distribution
problems in discrete mathematics involve the study of an extremal parameter that follows a discrete version of the Gumbel distribution. This discrete version
Gumbel_distribution
Concept in probability theory
multivariate stable distribution is a multivariate probability distribution that is a multivariate generalisation of the univariate stable distribution. The multivariate
Multivariate stable distribution
Multivariate_stable_distribution
formalism. The discrete uniform distribution, where all elements of a finite set are equally likely. This is the theoretical distribution model for a balanced
List of probability distributions
List_of_probability_distributions
Topic in probability theory and statistics
(always?) these distributions are also stable distributions (see also Discrete-stable distribution). Examples of such univariate distributions are: normal
Relationships among probability distributions
Relationships_among_probability_distributions
Type of probability distribution
function (in the case of discrete variables). These in turn can be used to find two other types of distributions: the marginal distribution giving the probabilities
Joint probability distribution
Joint_probability_distribution
Family of probability distributions
Gaussian distributions, the purely discrete scaled Poisson distribution, and the class of compound Poisson–gamma distributions that have positive mass at zero
Tweedie_distribution
Simple polynomial map exhibiting chaotic behavior
The logistic map is a discrete dynamical system defined by the quadratic difference equation It is a recurrence relation and a polynomial mapping of degree 2
Logistic_map
Generalization of the one-dimensional normal distribution to higher dimensions
statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional
Multivariate normal distribution
Multivariate_normal_distribution
Probability distribution
probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials that are
Poisson_binomial_distribution
Index of articles associated with the same name
Stationary distribution may refer to: Discrete-time Markov chain § Stationary distributions and continuous-time Markov chain § Stationary distribution, a special
Stationary_distribution
Probability distribution
Laplace distribution, including the special case of μ = 0 {\displaystyle {\boldsymbol {\mu }}=\mathbf {0} } , is an example of a geometric stable distribution
Multivariate Laplace distribution
Multivariate_Laplace_distribution
Minimum amount of a physical entity involved in an interaction
can exist only in certain discrete values. Atoms and matter in general are stable because electrons can exist only at discrete energy levels within an atom
Quantum
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
S2CID 14904723. Johnson, N. L.; Kemp, A. W.; Kotz, S. (2005), Univariate Discrete Distributions, Hoboken, New Jersey: Wiley and Sons. Levin, B. (1984), "Simple
Fisher's noncentral hypergeometric distribution
Fisher's_noncentral_hypergeometric_distribution
Probability distribution in physics
(one-dimensional) Holtsmark distribution is a continuous probability distribution. The Holtsmark distribution is a special case of a stable distribution with the index
Holtsmark_distribution
Probability distribution
number of citations to journal articles and patents follows a discrete log-normal distribution. City sizes (population) satisfy Gibrat's Law. The growth process
Log-normal_distribution
Family of algorithms for sampling from discrete probability distributions
method is a family of efficient algorithms for sampling from a discrete probability distribution, published in 1974 by Alastair J. Walker. That is, it returns
Alias_method
Probability distribution
t-distribution; The family of stable distributions, excepting the special case of the normal distribution within that family. Some stable distributions
Heavy-tailed_distribution
Type of probability distribution
gamma distribution, the chi-square distribution, the Wald distribution, the log-normal distribution and Student's t-distribution. Among the discrete distributions
Infinite divisibility (probability)
Infinite_divisibility_(probability)
Fundamental theorem in probability theory and statistics
sequence of discrete random variables whose cumulative probability distribution function converges towards a cumulative probability distribution function
Central_limit_theorem
Technique used in signal processing and data compression
A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies
Discrete_cosine_transform
Family of probability distributions
value distribution is a special case of a max-stable distribution, and is a transformation of a min-stable distribution. The GEV distribution is widely
Generalized extreme value distribution
Generalized_extreme_value_distribution
Geographical area in which a species can be found
the original on 2009-04-14. Retrieved 2009-04-08. Livestock Grazing Distribution Patterns: Does Animal Age Matter? Discrete Uniform Random Distribution
Species_distribution
Analog of the continuous Laplace operator
mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For
Discrete_Laplace_operator
Functional relationship between two quantities
on). Zeta distribution (discrete) Yule–Simon distribution (discrete) Student's t-distribution (continuous), of which the Cauchy distribution is a special
Power_law
Stochastic process in probability theory
sample path is a probability distribution. A random sample from this process is an infinite discrete probability distribution, consisting of an infinite
Pitman–Yor_process
Age-structured model of population growth
The Leslie matrix is a discrete, age-structured model of population growth named after Patrick H. Leslie and used in population ecology. The Leslie matrix
Leslie_matrix
Dynamical system
from the discrete form by a limiting process. To simplify analysis, fitness is often assumed to depend linearly upon the population distribution, which
Replicator_equation
science, the stable matching polytope or stable marriage polytope is a convex polytope derived from the solutions to an instance of the stable matching problem
Stable_matching_polytope
Probability distribution used in multivariate hypothesis testing
In statistics, Wilks' lambda distribution (named for Samuel S. Wilks), is a probability distribution used in multivariate hypothesis testing, especially
Wilks's_lambda_distribution
Structure that repeats in time; a novel type or phase of non-equilibrium matter
continuous translational symmetry in space is broken and replaced by the lower discrete symmetry of the periodic crystal. As the laws of physics are symmetrical
Time_crystal
Random walk with heavy-tailed step lengths
is a random walk in which the step-lengths have a stable distribution, a probability distribution that is heavy-tailed. When defined as a walk in a space
Lévy_flight
distribution Poisson distribution Stable distribution Mixture distribution Sum of normally distributed random variables "VoigtDistribution". Wolfram Language
List of convolutions of probability distributions
List_of_convolutions_of_probability_distributions
Granular material interaction simulation technique
The extended discrete element method (XDEM) is a numerical technique that extends the dynamics of granular material or particles as described through the
Extended discrete element method
Extended_discrete_element_method
Process-based discrete-event simulation framework based on standard Python
software portal SimPy stands for “Simulation in Python”, is a process-based discrete-event simulation framework based on standard Python. It enables users to
SimPy
Probability distribution
the continuous Bernoulli distribution, since the binary cross entropy loss only defines a true log-likelihood for discrete, { 0 , 1 } {\displaystyle
Continuous Bernoulli distribution
Continuous_Bernoulli_distribution
Mathematical model of the time dependence of a point in space
therefore a discrete set of these in a discrete time interval Δ t {\displaystyle \Delta t} is again a shape of characterization of the full discrete dynamical
Dynamical_system
Statistical property quantifying how much a collection of data is spread out
(also called variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed. Common examples of measures of statistical
Statistical_dispersion
Discrete Fourier transform algorithm
A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT), or its inverse (IDFT), of a sequence. A Fourier transform
Fast_Fourier_transform
Family of distributions that generalize the multivariate normal distribution
multivariate probability distributions: Multivariate normal distribution Multivariate t-distribution Symmetric multivariate stable distribution Symmetric multivariate
Elliptical_distribution
ExtendSim is a simulation program for modeling discrete event, continuous, agent-based, discrete rate, and mixed-mode processes. There are three main
ExtendSim
group G in terms of stable distributions. However these stable distributions are not distributions on the group G, but are distributions on a family of quasisplit
Arthur–Selberg_trace_formula
Middle quantile of a data set or probability distribution
Weibull distribution family has members with positive mean, but mean < median. Violations of the rule are particularly common for discrete distributions. For
Median
Definition and first properties of the Poisson-Dirichlet distributions
=0} . The values drawn from this distribution can be used as weights for sampling an infinite sequence of discrete items, an instance of a Pitman–Yor
Poisson-Dirichlet distribution
Poisson-Dirichlet_distribution
Probability concept
past behavior, due to the memorylessness of the exponential distribution and of discrete-time Markov chains. Let ( Ω , A , Pr ) {\displaystyle (\Omega
Continuous-time_Markov_chain
Topics referred to by the same term
Network theory, the study of graphs as a representation of relations between discrete objects Network science, an academic field that studies complex networks
Network
Discrete event simulation tool developed by MathWorks
SimEvents is a discrete event simulation tool developed by MathWorks. It adds a library of graphical building blocks for modeling queuing systems to the
SimEvents
List of Windows 10 operating system versions
accessibility improvements, and the ability to view disk drive type and discrete graphics card temperatures in Task Manager. It's also the final version
Windows_10_version_history
computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Statistical measure of how far values spread from their average
numerically stable alternatives, see Algorithms for calculating variance. If the generator of random variable X {\displaystyle X} is discrete with probability
Variance
Linux distribution developed by System76
modes: hybrid, discrete, compute, and iGPU only. There is also a power management package developed from the Intel Clear Linux distribution. Pop!_OS currently
Pop!_OS
Technique for the generative modeling of a continuous probability distribution
simulated precisely without time discretization. Specifically, rectified flow seeks to match an ODE with the marginal distributions of the linear interpolation
Diffusion_model
Algorithm that estimates unknowns from a series of measurements over time
model, except that the discrete state and observations are replaced with continuous variables sampled from Gaussian distributions. In some applications
Kalman_filter
Ecological concept
conditions, a phenomenon known as hysteresis. Alternative stable state theory suggests that discrete states are separated by ecological thresholds, in contrast
Alternative_stable_state
Discrete set of Boolean variables
A Boolean network consists of a discrete set of Boolean variables each of which has a Boolean function (possibly different for each variable) assigned
Boolean_network
Probability distribution
} Thus, for example, the discrete uniform distribution on the set {0, 1, 2} is indecomposable, but the binomial distribution for two trials each having
Indecomposable_distribution
Convex shape with one stable and one unstable position of equilibrium
homogeneous bodies that are mono-monostatic, meaning that they have just one stable and one unstable point of equilibrium when resting on a flat surface. The
Gömböc
Rate-seeking algorithm
behaviour and congestion collapse. To understand stability, Lam created a discrete-time Markov chain model for analyzing the statistical behaviour of slotted
Exponential_backoff
involved and the type of the distribution. For example (2:DC) indicates a distribution with two random variables, discrete or continuous. Other codes are
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
SIM.JS is an event-based discrete-event simulation library based on standard JavaScript. The library has been written in order to enable simulation within
SIM.JS
1984 Trip Distribution Using Composite Impedance Transportation Research Record 944 pp. 118–127 Ben-Akiva M. and Lerman S. 1985 Discrete Choice Analysis
Trip_distribution
Type of random process
Darroch, J. N.; Seneta, E. (1965). "On Quasi-Stationary Distributions in Absorbing Discrete-Time Finite Markov Chains". Journal of Applied Probability
Quasi-stationary_distribution
1922 physical experiment demonstrating that atomic spin is quantized
from a straight path. The screen revealed discrete points of accumulation, rather than a continuous distribution, owing to their quantized spin. Historically
Stern–Gerlach_experiment
analysis Discrete distribution – redirects to section of Probability distribution Discrete frequency domain Discrete phase-type distribution Discrete probability
List_of_statistics_articles
Condition where selection restores genetic composition
modeling only a single species, the ideal free distribution (IFD) is itself an evolutionarily stable state containing mixed strategies. Evolutionary
Evolutionarily_stable_state
Statistical hypothesis test
one). Using the chi-squared distribution to interpret Pearson's chi-squared statistic requires one to assume that the discrete probability of observed binomial
Chi-squared_test
Spectral density of light emitted by a black body
expressed as an energy distribution, it is the unique stable distribution for radiation in thermodynamic equilibrium. As an energy distribution, it is one of a
Planck's_law
IMPRINT is developed using the .NET Framework and allows users to create discrete-event simulations as visual task networks with logic defined using the
Improved Performance Research Integration Tool
Improved_Performance_Research_Integration_Tool
= Q Δ t {\displaystyle B=Q\,\Delta t} . There are some constraints of discrete short-time Fourier transform: Δ t Δ f = 1 N , {\displaystyle \Delta t\
Time–frequency analysis for music signals
Time–frequency_analysis_for_music_signals
Software application of the concept of reversible computing
application of reverse computation to reduce state saving overheads in parallel discrete event simulation (PDES). They define an approach based on reverse event
Reverse_computation
Method of synthesizing supramolecular assemblies
chemists to make complex molecular and supramolecular assemblies from discrete molecular building blocks. DCvC has allowed access to complex assemblies
Dynamic_covalent_chemistry
Discrete model of computation
A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called
Cellular_automaton
Species of fish
were determined to be mostly stable overall. The bluestripe darter is endemic to Missouri where it has a localized distribution in streams of the Osage and
Bluestripe_darter
Smooth approximation of one-hot arg max
a discrete-discrete distribution needs to be mimicked in a differentiable manner. Softplus Multinomial logistic regression Dirichlet distribution – an
Softmax_function
Average time from one generation to another within the same population
(row-vector) and w {\displaystyle \textstyle \mathbf {w} } its stable stage distribution (column-vector); the e λ ( f i j ) = f i j λ ∂ λ ∂ f i j {\displaystyle
Generation_time
Linux distribution
for Open Embedded Linux Entertainment Center) is a discontinued Linux distribution designed for home theater PCs and based on the Kodi (formerly XBMC) media
OpenELEC
Approximate interference technique in Bayesian networks
passing (VMP) is an approximate inference technique for continuous- or discrete-valued Bayesian networks, with conjugate-exponential parents, developed
Variational_message_passing
Filter for nonlinear state estimation
{x} }}\right\vert _{{\hat {\mathbf {x} }}(t)}\end{aligned}}} Unlike the discrete-time extended Kalman filter, the prediction and update steps are coupled
Extended_Kalman_filter
Hierarchical outline list of articles related to the physical sciences
mechanical behavior of materials modeled as a continuous mass rather than as discrete particles. History of fluid mechanics – history of the study of fluids
Outline_of_physical_science
Continuous probability distribution
corresponding simulation based on discrete low, median, and high values for each asset. Simulation output distributions. Metalogs have also been used to
Metalog_distribution
Open source system dynamics simulation software
are fully consistent (i.e.,contradiction-free) with those from a micro (Discrete Event Simulation (DES) or Agent-Based Simulation) model of a well-defined
StochSD
Branch of statistics
models assume a continuous-time, discrete-time survival models can be mapped to a binary classification problem. In a discrete-time survival model the survival
Survival_analysis
Study of optimal transportation and allocation of resources
(2016)). In the semi-discrete case, X = Y = R d {\displaystyle X=Y=\mathbb {R} ^{d}} and μ {\displaystyle \mu } is a continuous distribution over R d {\displaystyle
Transportation theory (mathematics)
Transportation_theory_(mathematics)
Company based in Riga, Latvia
of the RB250GS switch, first SwOS and MCU-based appliance and without discrete RAM and only 16 KiB RAM and 128 KiB flash, and device with an Intel MCS-51-compatible
MikroTik
Concept in philosophy and mathematics
are the normal distribution, Cauchy distribution and all other members of the stable distribution family. The skew-normal distribution is an example of
Infinite_divisibility
Fourier transform of the probability density function
when X is the discrete random variable that is always 0, it becomes the Dirichlet integral. Inversion formulas for multivariate distributions are available
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
Mathematical study of waiting lines, or queues
these networks do not assume exponential time distributions like the classic Jackson network. In discrete-time networks where there is a constraint on
Queueing_theory
Table used to concentrate heavy minerals
most shaking tables, consists of a riffled deck with a gentle tilt on a stable support to counteract the table's oscillation. A motor, usually mounted
Wilfley_table
State in which variables of a system are unchanging in time
{\partial p}{\partial t}}=0\quad {\text{for all present and future }}t.} In discrete time, it means that the first difference of each property is zero and remains
Steady_state
Emissions from unstable atomic nuclei
nevertheless a reasonable rate of events, are modelled by the Poisson distribution, which is discrete. Radioactive decay and nuclear particle reactions are two examples
Radioactive_decay
Small localized object
decay. Those that do not are called stable particles, such as electrons and helium-4 nuclei. The lifetime of stable particles can be either infinite or
Particle
Study of abstract machines and automata
considered a branch of mathematical systems theory, studying the behavior of discrete-parameter systems. Early work in automata theory differed from previous
Automata_theory
Features that do not change if length or energy scales are multiplied by a common factor
or curve is invariant under a discrete subset of the dilations. It is also possible for the probability distributions of random processes to display
Scale_invariance
Function specifying the behavior of a component in an electronic or control system
rearranged as: Y ( s ) = H ( s ) X ( s ) . {\displaystyle Y(s)=H(s)\;X(s)\,.} Discrete-time signals may be notated as arrays indexed by an integer n {\displaystyle
Transfer_function
Computer vision framework
the active shape model represents a discrete version of this approach, taking advantage of the point distribution model to restrict the shape range to
Active_contour_model
continuum model of matter ignores that matter is made of finitely small, discrete particles (atoms or molecules); the material points in a continuum body
Sound_particle
DISCRETE STABLE-DISTRIBUTION
DISCRETE STABLE-DISTRIBUTION
DISCRETE STABLE-DISTRIBUTION
DISCRETE STABLE-DISTRIBUTION
DISCRETE STABLE-DISTRIBUTION
DISCRETE STABLE-DISTRIBUTION
DISCRETE STABLE-DISTRIBUTION
DISCRETE STABLE-DISTRIBUTION
DISCRETE STABLE-DISTRIBUTION