Regular Conditional Probability

Regular Conditional Probability

Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow

     

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Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1312-4629-6
Объём: 68 страниц
Масса: 123 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

High Quality Content by WIKIPEDIA articles! Regular conditional probability is a concept that has developed to overcome certain difficulties in formally defining conditional probabilities for continuous probability distributions. It is defined as an alternative probability measure conditioned on a particular value of a random variable. The difficulty with this arises when the event B is too small to have a non-zero probability. For example, suppose we have a random variable X with a uniform distribution on [0,1], and B is the event that X = 2 / 3. Clearly the probability of B in this case is P(B)=0, but nonetheless we would still like to assign meaning to a conditional probability such as P(A|X=2/3). To do so rigorously requires the definition of a regular conditional probability.

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