# What is distribution?

• (noun): The spatial property of being scattered about over an area or volume.
Synonyms: dispersion

### Some articles on distribution:

Hidden Markov Model - Types
... observations according to some probability distribution ... One such example of distribution is Gaussian distribution, in such a Hidden Markov Model the states output is represented by a Gaussian distribution ...
Convergence Of Random Variables - Convergence in Distribution - Properties
... Since F(a) = Pr(X ≤ a), the convergence in distribution means that the probability for Xn to be in a given range is approximately equal to the probability that the value of X is in that range ... In general, convergence in distribution does not imply that the sequence of corresponding probability density functions will also converge ... These random variables converge in distribution to a uniform U(0, 1), whereas their densities do not converge at all ...
Abraham De Moivre - Probability
... first statement of the formula for the normal distribution curve, the first method of finding the probability of the occurrence of an error of a given size when that error ... called Annuities upon Lives, in which he revealed the normal distribution of the mortality rate over a person’s age ...
Markov Chains - Steady-state Analysis and Limiting Distributions - Steady-state Analysis and The Time-inhomogeneous Markov Chain
... chain need not necessarily be time-homogeneous to have an equilibrium distribution ... If there is a probability distribution over states such that for every state j and every time n then is an equilibrium distribution of the Markov chain ... kind of mixing, but each matrix respects a shared equilibrium distribution ...
Aerosol - Size Distribution
... aerosol, we describe the size of the aerosol by use of the particle-size distribution ... One approach to defining the particle size distribution is to use a list of the size of all particles in a sample ... also be useful to approximate the particle size distribution using a mathematical function ...

### More definitions of "distribution":

• (noun): (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence.
Synonyms: statistical distribution
• (noun): The act of distributing or spreading or apportioning.
• (noun): The commercial activity of transporting and selling goods from a producer to a consumer.

### Famous quotes containing the word distribution:

The man who pretends that the distribution of income in this country reflects the distribution of ability or character is an ignoramus. The man who says that it could by any possible political device be made to do so is an unpractical visionary. But the man who says that it ought to do so is something worse than an ignoramous and more disastrous than a visionary: he is, in the profoundest Scriptural sense of the word, a fool.
George Bernard Shaw (1856–1950)

There is the illusion of time, which is very deep; who has disposed of it? Mor come to the conviction that what seems the succession of thought is only the distribution of wholes into causal series.
Ralph Waldo Emerson (1803–1882)

The question for the country now is how to secure a more equal distribution of property among the people. There can be no republican institutions with vast masses of property permanently in a few hands, and large masses of voters without property.... Let no man get by inheritance, or by will, more than will produce at four per cent interest an income ... of fifteen thousand dollars] per year, or an estate of five hundred thousand dollars.
Rutherford Birchard Hayes (1822–1893)