Explain kurtosis, Advanced Statistics

Assignment Help:

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 more pointed (like leptokurtic)or flatter ( like platykurtic). Commonly measured for a probability distribution as

745_kurtosis.png 

where 4 is the fourth central moment of distribution, and 2 is its variance.

(consequent functions of sample moments are used for frequency distributions.)

For the normal distribution this index takes the value three and often index is redefined as the value above minus three so that the normal distribution would contain the value zero.

(Other distributions with the zero kurtosis are known as mesokurtic.) For the distribution which is leptokurtic the index is positive and for the platykurtic curves it is negative. It is shown in the figure 

26_kurtosis1.png


Related Discussions:- Explain kurtosis

Causality, Causality: The relating of the reasons to the effects they prod...

Causality: The relating of the reasons to the effects they produce. Several investigations in medicine seek to establish the causal relations between the events, for instance, whi

Pre analysis data screening, need answers to questions in book advanced and...

need answers to questions in book advanced and multivariate statistical methods

Explain multicentre study, Multicentre study : The clinical trial conducte...

Multicentre study : The clinical trial conducted simultaneously in the number of participating hospitals, with all centres following an agreed-upon study of the protocol and with

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

Whites general heteroscedasticity test, The Null Hypothesis - H0:  γ 1 = γ...

The Null Hypothesis - H0:  γ 1 = γ 2 = ...  =  0  i.e.  there is no heteroscedasticity in the model The Alternative Hypothesis - H1:  at least one of the γ i 's are not equal

Descriptive , Assume that a population is normally distributed with a mean ...

Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 20 to be 115 or more?

Mann whitney test, Mann Whitney test is a distribution free test which is ...

Mann Whitney test is a distribution free test which is used as an alternative to the Student's t-test for assessing that whether the two populations have the same median. The test

Dirichlet process, The distribution over distributions in the sense that ea...

The distribution over distributions in the sense that each draw from the process is itself the distribution. The name Dirichlet process or procedure is due to the fact that the ?ni

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