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

Determinant, A value related with the square matrix which represents sums a...

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

Multimodal distribution, Multimodal distribution is the probability distri...

Multimodal distribution is the probability distribution or frequency distribution with number of modes. Multimodality is frequently taken as an indication which the observed di

Data smoothing algorithms, The procedures for extracting the pattern in a s...

The procedures for extracting the pattern in a series of observations when this is obscured by the noise. Basically any such technique or method separates the original series into

Multi dimensional unfolding, Multi dimensional unfolding is the form of mu...

Multi dimensional unfolding is the form of multidimensional scaling applicable to both the rectangular proximity matrices where the rows and columns refer to the different sets of

Morbidity, Morbidity is the term used in the epidemiological studies to de...

Morbidity is the term used in the epidemiological studies to describe sickness in the human populations. The WHO Expert Committee on the Health Statistics noted in its sixth repor

Non central distributions, Non central distributions is the series of prob...

Non central distributions is the series of probability distributions each of which is the adaptation of one of the standard sampling distributions like the chi-squared distributio

Residual, regression line drawn as Y=C+1075x, when x was 2, and y was 239, ...

regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

Probability., 5. Packages from a machine a normally distributed with a mean...

5. Packages from a machine a normally distributed with a mean 200g and its standard deviation 2grams. Find the probability that a package from the machine weighs a) Less than

Over dispersion, Over dispersion is the phenomenon which occurs when empir...

Over dispersion is the phenomenon which occurs when empirical variance in the data exceeds the nominal variance under some supposed model. Most often encountered when the modeling

Dot plot, The more effective display than a number of other methods or tech...

The more effective display than a number of other methods or techniques, for instance, pie charts and bar charts, for displaying the quantitative data which are labeled. An instanc

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