Exponential family, Advanced Statistics

Assignment Help:

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

 

 


Related Discussions:- Exponential family

Describe multiple imputation, Multiple imputation : The Monte Carlo techniq...

Multiple imputation : The Monte Carlo technique in which missing values in the data set are replaced by m> 1 simulated versions, where m is usually small (say 3-10). Each of simula

Principal components analysis, Principal components analysis is a process ...

Principal components analysis is a process for analysing multivariate data which transforms original variables into the new ones which are uncorrelated and account for decreasing

Em algorithm, The method or technique for producing the sequence of paramet...

The method or technique for producing the sequence of parameter estimates that, under the mild regularity conditions, converges to maximum likelihood estimator. Of particular signi

Fisher''s transformation, The transformation of the Pearson's product momen...

The transformation of the Pearson's product moment correlation coefficient, r, can be given by   The statistic z has the normal distribution with mean   here ρ is the pop

F-test, A test for equality of the variances of the two populations having ...

A test for equality of the variances of the two populations having normal distributions, based on the ratio of the variances of the sample of observations taken from each. Most fre

Explain information theory., Information theory: This is the branch of app...

Information theory: This is the branch of applied probability theory applicable to various communication and signal processing problems in the field of engineering and biology. In

Contour plot, Contour plot : A topographical map drawn from data comprising...

Contour plot : A topographical map drawn from data comprising observations on the three variables. One variable is represented on horizontal axis and the second variable is represe

Design matrix, It is used generally for the matrix which specifies a statis...

It is used generally for the matrix which specifies a statistical model for a set of observations. For instance, in a one-way design with the three observations in one group, tw

Descriptive , Assume that a population is normally distributed with a mean ...

Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 20 to be 115 or more?

Probability and random processes, how to find the PDF and CDF of a gamma ra...

how to find the PDF and CDF of a gamma random variable with given equation?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd