Cauchy distribution, Advanced Statistics

Assignment Help:

Cauchy distribution: The probability distribution, f (x), can be given as follows
2177_cauchy distribution.png 

where α is the position of the parameter (median) and the beta β a scale parameter. Moments and cumulates of distribution do not exist and prevail. The distribution is the unimodal and symmetric is about α with much heavier tails than the normal distribution shown in the figure. The upper and lower quartiles of the distribution are α ± β. Named after the scientist Augustin-Louis Cauchy.


1505_cauchy distribution1.png


Related Discussions:- Cauchy distribution

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

Mareg, MAREG is the software package for the analysis of the marginal regr...

MAREG is the software package for the analysis of the marginal regression models. The package permits the application of generalized estimating equations and the maximum likelihoo

Daycare, facts and statistics about daycare

facts and statistics about daycare

Current status data, The Current status data arise in the survival analysis...

The Current status data arise in the survival analysis if the observations are limited to the indicators of whether or not the event of interest has happened at the time the sample

Rejection Region (graded), How is the rejection region defined and how is t...

How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians

Gaussian process, The generalization of the normal distribution used for th...

The generalization of the normal distribution used for the characterization of functions. It is known as a Gaussian process because it has Gaussian distributed finite dimensional m

Friedman''s two-way analysis of variance, The distribution free or techniqu...

The distribution free or technique which is the analogue of the analysis of variance for the design with two factors. It can be applied to data sets which do not meet the assumptio

Define misspecification, Misspecification  is the term is applied to descri...

Misspecification  is the term is applied to describe the assumed statistical models which are incorrect for one of the several of reasons, for instance, using the wrong probability

Frequency distribution, The division of a sample of observations into sever...

The division of a sample of observations into several classes, together with the number of observations in each of them.  It acts as a useful summary of the main features of the da

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