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

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

Direct edacyclic graph, Formal graphical representation of the "causal diag...

Formal graphical representation of the "causal diagrams" or the "path diagrams" where the  relationships are directed but acyclic (that is no feedback relations allowed). Plays an

Fibonacci distribution, The probability distribution of the various observa...

The probability distribution of the various observations is required to obtain the run of two successes in the series of Bernoulli trials with the probability of success equal to a

Hanging rootogram, Hanging rootogram is   he diagram comparing the observe...

Hanging rootogram is   he diagram comparing the observed rootogram with the ?tted curve, in which dissimilarities between the two are displayed in relation to the horizontal axis,

Two - stage distillation process, A mixture of benzene, toluene, and xylene...

A mixture of benzene, toluene, and xylene enters a two-stage distillation process where some of the componentsare recovered. The distillation process operates at steady-state condi

Doane''s rule, A rule for computing the number of classes to use while cons...

A rule for computing the number of classes to use while constructing a histogram and  can be given by   here n is the sample size and ^ γ is the estimate of kurtosis.

Explain household interview surveys, Household interview surveys : The surv...

Household interview surveys : The surveys in which the primary sampling units are typically geographic regions such as nations or cities. For each such unit sampled, there are addi

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

Multi dimensional unfolding, Multi dimensional unfolding is the form of mu...

Multi dimensional unfolding is the form of multidimensional scaling applicable to both the rectangular proximity matrices where the rows and columns refer to the different sets of

Prepare a report using regression analysis, Paul Jordan has just been hired...

Paul Jordan has just been hired as a management analyst at Digital Cell Phone Inc. Digital Cell manufactures a broad line of phones for the consumer market. Paul's boss, John Smith

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