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 ignorability., Ignorability : The missing data mechanism is said t...

Ignorability : The missing data mechanism is said to be ignorable for likelihood inference if (1) the joint likelihood for the responses of the interest and missing data indicators

Biplots, Biplots: It is the multivariate analogue of the scatter plots, wh...

Biplots: It is the multivariate analogue of the scatter plots, which estimates the multivariate distribution of the sample in a few dimensions, typically two and superimpose on th

Explain household interview surveys, Household interview surveys : The surv...

Household interview surveys : The surveys in which the primary sampling units are typically geographic regions such as nations or cities. For each such unit sampled, there are addi

Censored observations, Censored observations : An observation xi on some va...

Censored observations : An observation xi on some variable of interest is consired to be censored if it is known that xi Li (left-censored)or xi Ui (right-censored) where Li and Ui

Describe prior distribution, Prior distributions : The probability distribu...

Prior distributions : The probability distributions which summarize the information about a random variable or parameter known or supposed at a given time instant, prior to attaini

Barrett and marshall model for conception, Barrett and Marshall Model for c...

Barrett and Marshall Model for conception : A biologically reasonable model for the probability of conception in a particular menstrual cycle, which supposes that the batches of sp

Multiple correlation coefficient, Multiple correlation coefficient is th...

Multiple correlation coefficient is the correlation among the observed values of dependent variable in the multiple regression, and the values predicted by estimated regression

Naor''s distribution, Naor's distribution is the discrete probability dist...

Naor's distribution is the discrete probability distribution which arises from the following model; Assume an urn contains n balls of which one is red and the remainder is whit

Gllamm, Gllamm is a program which estimates the generalized linear latent ...

Gllamm is a program which estimates the generalized linear latent and mixed models by the maximum likelihood. The models which can be fitted include structural equation models mul

Describe item-total correlation, Item-total correlation is an  extensively...

Item-total correlation is an  extensively used method for checking the homogeneity of the scale made up of number of items. It is simply the Pearson's product moment correlation c

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