Some articles on distribution:
... Markov processes where the states emit the 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 ...
... 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 ... 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 ...
... 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 ... (V) of the particles It can also be useful to approximate the particle size distribution using a mathematical function ...
... book, de Moivre gives the first statement of the formula for the normal distribution curve, the first method of finding the probability of the occurrence of an error ... an article called Annuities upon Lives, in which he revealed the normal distribution of the mortality rate over a person’s age ...
... Markov 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 ... mixing, but each matrix respects a shared equilibrium distribution ...
More definitions of "distribution":
- (noun): The spatial property of being scattered about over an area or volume.
- (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.
Famous quotes containing the word distribution:
“My topic for Army reunions ... this summer: How to prepare for war in time of peace. Not by fortifications, by navies, or by standing armies. But by policies which will add to the happiness and the comfort of all our people and which will tend to the distribution of intelligence [and] wealth equally among all. Our strength is a contented and intelligent community.”
—Rutherford Birchard Hayes (18221893)
“In this distribution of functions, the scholar is the delegated intellect. In the right state, he is, Man Thinking. In the degenerate state, when the victim of society, he tends to become a mere thinker, or, still worse, the parrot of other mens thinking.”
—Ralph Waldo Emerson (18031882)
“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 (18561950)