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

Odds ratio, Odds ratio is the ratio of the odds for the binary variable in...

Odds ratio is the ratio of the odds for the binary variable in two groups of the subjects, such as, males and females. If the two possible states of variable are labeled as 'succe

Reciprocal transformation, Reciprocal transformation is a transformation o...

Reciprocal transformation is a transformation of the form y =1/x, which is specifically useful for certain types of variables. Resistances, for instance, become conductances, and

Cluster randomization, Cluster randomization : The random allocation of the...

Cluster randomization : The random allocation of the groups or clusters of the individuals in the formation of treatment groups.Eeven though not as statistically ef?cient as the in

Assignment, Hi there i have send mail on info@expertminds regarding assignm...

Hi there i have send mail on info@expertminds regarding assignment, i am waiting nearly 45 minutes for reply

Computer-aided diagnosis, Computer-aided diagnosis : The computer programs ...

Computer-aided diagnosis : The computer programs which are designed to support clinical decision making. In common, such systems are based on the repeated application of the Bay

Describe human capital model, Human capital model : The model for evaluatin...

Human capital model : The model for evaluating the economic implication of the disease in terms of the economic loss of a person succumbing to morbidity or the mortality at some pa

Explain influence statistics, Influence statistics: The range of statistic...

Influence statistics: The range of statistics designed to assess the effect or the in?uence of an observation in determining results of the regression analysis. The general approa

Bubble plot, Bubble plot : A method or technique for displaying the observa...

Bubble plot : A method or technique for displaying the observations which involve three variable values. Two of the variables are used to make a scatter diagram and values of the t

Differences-in-differences estimator, The estimator of the group by the tim...

The estimator of the group by the time period interaction in a study in which the subjects in two different groups are observed in two different time periods. Normally one of th

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