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
Bivariate boxplot : A bivariate analogue of boxplot in which the inner area contains 50%of the data, and a 'fence' helps to identify the potential outliers. Robust methods or techn

Mean-range plot   is the graphical tool or device useful in selecting a transformation in the time series analysis. The range is plotted against the mean for each of the seasona

Barnard, George Alfred (1915^2002) : Born in Walthamstow in the east of London, Barnard achieved a scholarship to St. John's College, Cambridge, from where he graduated in the math

sales per day for a product are as follows: x= 10, 11, 12, 13 (p)= 0.2, 0.4, 0.3, 0.1 obtain mean and variance of daily sale. if the profit is described by the following equation p

Regression line drawn as y= c+ 1075x ,when x was2, and y was 239,given that y intercept was 11. Calculate the residual ?

How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians

Law of likelihood : Within framework of the statistical model, a particular set of data supports one statistical hypothesis or assumption better than another if the likelihood of t

Median absolute deviation (MAD) : It is the very robust estimator of the scale given by the following equation   or, in other words we can say that, the median of the absolute

Longini Koopman model : In epidemiology the model for primary and secondary infection, based on the classification of the extra-binomial variation in an infection rate which might