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

Relative poverty statistics, Relative poverty statistics is the statistics...

Relative poverty statistics is the statistics on the properties of populations falling below given fractions of average income which play a central role in debate of poverty. The

Calibration, Calibration : A procedure which enables a series of simply obt...

Calibration : A procedure which enables a series of simply obtainable but inaccurate measurements of some quantity of interest to be used to provide more precise estimates of the r

Mauchly test, Mauchly test is a test which a variance-covariance matrix of...

Mauchly test is a test which a variance-covariance matrix of pair wise differences of responses in the set of longitudinal data is the scalar multiple of identity matrix, a proper

Nested design, Nested design  is the design in which levels of one or more ...

Nested design  is the design in which levels of one or more factors are subsampled within one or more other factors such that, for instance, each level of a factor B happens at onl

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

Mean-range plot, Mean-range plot   is the graphical tool or device usefu...

Mean-range plot   is the graphical tool or device useful in selecting a transformation in the time series analysis. The range is plotted against the mean for each of the seasona

Explain historical controls, Historical controls : The group of patients tr...

Historical controls : The group of patients treated in the past with the standard therapy, taken in use as the control group for evaluating the new treatment on the present patient

Principal factor analysis, Principal factor analysis is the method of fact...

Principal factor analysis is the method of factor analysis which is basically equivalent to a principal components analysis performed on reduced covariance matrix attained by repl

Error rate estimation, The term used for the estimation of the misclassific...

The term used for the estimation of the misclassification rate in the discriminant analysis. Number of techniques has been proposed for two-group situation, but the multiple-group

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