Exponential family, Advanced Statistics

A family of the probability distributions of the form given as

1399_exponenial family.png 
here θ is the parameter and a, b, c, d are the known functions. It includes the gamma distribution, normal distribution, binomial distribution and Poisson distribution as special cases. The binomial distribution, for instance, it  can be written in the form above as follows:


142_exponenial family1.png

 

 

Posted Date: 7/27/2012 7:02:56 AM | Location : United States







Related Discussions:- Exponential family, Assignment Help, Ask Question on Exponential family, Get Answer, Expert's Help, Exponential family Discussions

Write discussion on Exponential family
Your posts are moderated
Related Questions
Marginal matching is the matching of the treatment groups in terms of means or other summary characteristics of matching variables. This has been shown to be almost as efficient a

calculate the mean yearly value using the average unemployment rate by month

Formal graphical representation of the "causal diagrams" or the "path diagrams" where the  relationships are directed but acyclic (that is no feedback relations allowed). Plays an

A value related with the square matrix which represents sums and products of its elements. For instance, if the matrix is   then the determinant of A (conventionally written as

The non-trivial extraction of implicit, earlier unknown and potentially useful information from data, specifically high-dimensional data, using pattern recognition, artificial inte

Collective risk models : The models applied to insurance portfolios which do not create direct reference to the risk characteristics of individual members of the portfolio when des

Quantile regression is an extension of the classical least squares from estimation of the conditional mean models to the estimation of the variety of models for many conditional q

Mardia's multivariate normality test is a test that a set of the multivariate data arise from the multivariate normal distribution against departures due to the kurtosis. The test

L'Abbe ´ plot is often used in the meta-analysis of the clinical trials where the result is the binary response of it. The event risk (number of events/number of the patients in a

Remedian: The robust estimator of location which is computed by an iterative process. By assuming that the sample size n can be written as bk where b and k are the integers, the s