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

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

Captures recapture sampling, Captures recapture sampling : Another approach...

Captures recapture sampling : Another approach to a census for estimating the size of population, which operates by sampling the population number of times, identifying the individ

Expected-utility maximizer, There are two periods. You observe that Jack co...

There are two periods. You observe that Jack consumes 100 apples in period t = 0, and 120 apples in period t = 1. That is, (c 0 ; c 1 ) = (100; 120) Suppose Jack has the util

Unequal probability sampling, Unequal probability sampling is the sampling...

Unequal probability sampling is the sampling design in which the different sampling units in the population have different probabilities of being included in sample. The differing

Command-line options, Command-Line options Compression: C++:  ./comp...

Command-Line options Compression: C++:  ./compress  -f  myfile.txt  [-o  myfile.hzip  -s Java:  sh  compress.sh  -f  myfile.txt  [-o  myfile.hzip  -s] Decompression:

Negative binomial distribution, Negative binomial distribution is the prob...

Negative binomial distribution is the probability distribution of number of failures, X, before the kth success in the sequence of Bernoulli trials where the probability of succes

Explain lie factor, Lie factor : A measure suggested by Tufte for judging t...

Lie factor : A measure suggested by Tufte for judging the honesty of the graphical presentation of data. Which can be calculated as follows   The values close to one are desir

Durbin watson statistic, The Null Hypothesis - H0: There is no first order ...

The Null Hypothesis - H0: There is no first order autocorrelation The Alternative Hypothesis - H1: There is first order autocorrelation Durbin-Watson statistic = 1.98307

Geographical analysis machine, Geographical analysis machine is the proced...

Geographical analysis machine is the procedure designed to detect the clusters of rare diseases in a particular area. Circles of fixed radii are created at each point of the squar

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