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- Normal_variance-mean_mixture abstract "In probability theory and statistics, a normal variance-mean mixture with mixing probability density is the continuous probability distribution of a random variable of the formwhere , and are real numbers, and random variables and are independent, is normally distributed with mean zero and variance one, and is continuously distributed on the positive half-axis with probability density function . The conditional distribution of given is thus a normal distribution with mean and variance . A normal variance-mean mixture can be thought of as the distribution of a certain quantity in an inhomogeneous population consisting of many different normal distributed subpopulations. It is the distribution of the position of a Wiener process (Brownian motion) with drift and infinitesimal variance observed at a random time point independent of the Wiener process and with probability density function . An important example of normal variance-mean mixtures is the generalised hyperbolic distribution in which the mixing distribution is the generalized inverse Gaussian distribution.The probability density function of a normal variance-mean mixture with mixing probability density isand its moment generating function iswhere is the moment generating function of the probability distribution with density function , i.e.".
- Normal_variance-mean_mixture wikiPageID "6526281".
- Normal_variance-mean_mixture wikiPageRevisionID "594255325".
- Normal_variance-mean_mixture hasPhotoCollection Normal_variance-mean_mixture.
- Normal_variance-mean_mixture subject Category:Compound_distributions.
- Normal_variance-mean_mixture subject Category:Continuous_distributions.
- Normal_variance-mean_mixture type Abstraction100002137.
- Normal_variance-mean_mixture type Arrangement105726596.
- Normal_variance-mean_mixture type Cognition100023271.
- Normal_variance-mean_mixture type CompoundDistributions.
- Normal_variance-mean_mixture type ContinuousDistributions.
- Normal_variance-mean_mixture type Distribution105729036.
- Normal_variance-mean_mixture type PsychologicalFeature100023100.
- Normal_variance-mean_mixture type Structure105726345.
- Normal_variance-mean_mixture comment "In probability theory and statistics, a normal variance-mean mixture with mixing probability density is the continuous probability distribution of a random variable of the formwhere , and are real numbers, and random variables and are independent, is normally distributed with mean zero and variance one, and is continuously distributed on the positive half-axis with probability density function . The conditional distribution of given is thus a normal distribution with mean and variance .".
- Normal_variance-mean_mixture label "Normal variance-mean mixture".
- Normal_variance-mean_mixture label "Нормальная смесь дисперсии-среднего".
- Normal_variance-mean_mixture sameAs m.0g8ymd.
- Normal_variance-mean_mixture sameAs Q4327408.
- Normal_variance-mean_mixture sameAs Q4327408.
- Normal_variance-mean_mixture sameAs Normal_variance-mean_mixture.
- Normal_variance-mean_mixture wasDerivedFrom Normal_variance-mean_mixture?oldid=594255325.
- Normal_variance-mean_mixture isPrimaryTopicOf Normal_variance-mean_mixture.