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

Bivariate survival data, Bivariate survival data : The data in which the tw...

Bivariate survival data : The data in which the two related survival times are of interest. For instance, in familial studies of disease incidence, data might be available on the a

Disclosure risk, The risk of being able to recognize the respondent's confi...

The risk of being able to recognize the respondent's confidential information in the data set. Number of approaches has been proposed to measure the disclosure risk some of which c

Behrens fisher problem, Behrens Fisher problem : The difficulty of testing ...

Behrens Fisher problem : The difficulty of testing for the equality of the means of the two normal distributions which do not have the equal variance. Various test statistics have

Generate a scatter plot, Suppose we estimate the following model: Passen...

Suppose we estimate the following model: Passengersi = 1 + 2Populationi + ui a) Generate a scatter plot with passengers on the vertical axis and population on the horizonta

Environmental statistics, The procedures used for determining how the quali...

The procedures used for determining how the quality of life is affected by the environment, in particular by factors such as air and solid wastes, water pollution, hazardous substa

Explain kurtosis, Kurtosis: The extent to which the peak of the unimodal p...

Kurtosis: The extent to which the peak of the unimodal probability distribution or the frequency distribution departs from its shape of the normal distribution, by either being mo

Case-control study, Case-control study : The traditional case-control study...

Case-control study : The traditional case-control study is the common research design in the epidemiology where the exposures to risk factors for cases (individuals getting the dis

Cube law, A law supposedly applicable to voting behaviour which has a histo...

A law supposedly applicable to voting behaviour which has a history of several decades. It may be stated thus: Consider a two-party system and suppose that the representatives of t

Comparative exposure rate, Comparative exposure rate : A measure of allianc...

Comparative exposure rate : A measure of alliance for use in a matched case-control study, de?ned as the ratio of the number of case-control pairs, where the case has greater expos

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