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

Partial least squares, Partial least squares is an alternative to the mult...

Partial least squares is an alternative to the multiple regressions which, in spite of using the original q explanatory variables directly, constructs the new set of k regressor v

Dirichlet tessellation, A construction for events that happen in some plana...

A construction for events that happen in some planar area a, consisting of the series of 'territories' each of which comprises of that part of a closer to the particular event xi t

Queuing, The number of passengers arriving at an airport terminal average 1...

The number of passengers arriving at an airport terminal average 1200 each hour. To process passengers (check in, take luggage, etc) take an average of 6 minutes each. There are

Collapsing categories, Collapsing categories : A procedure generally applie...

Collapsing categories : A procedure generally applied to contingency tables in which the two or more row or column categories are combined, in number of cases so as to yield the re

Probability, Modern hotels and certain establishments make use of an electr...

Modern hotels and certain establishments make use of an electronic door lock system. To open a door an electronic card is inserted into a slot. A green light indicates that the doo

Poisson regression, Poisson regression In case of Poisson regression w...

Poisson regression In case of Poisson regression we use ηi = g(µi) = log(µi) and a variance V ar(Yi) = φµi. The case φ = 1 corresponds to standard Poisson model. Poisson regre

Describe item-total correlation, Item-total correlation is an  extensively...

Item-total correlation is an  extensively used method for checking the homogeneity of the scale made up of number of items. It is simply the Pearson's product moment correlation c

Codominance, Codominance : The relationship between genotype at the locus a...

Codominance : The relationship between genotype at the locus and a phenotype to which it in?uences. If an individuals with heterozygote (such as, AB) genotype is phenotypically dif

Tests for heteroscedasticity, The Null Hypothesis - H0: There is no heteros...

The Null Hypothesis - H0: There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1:  There is heteroscedasticity i.e. β 1 0 Reject H0 if nR2 > MTB >

Protocol, Protocol is the formal document outlining the proposed process f...

Protocol is the formal document outlining the proposed process for carrying out the clinical trial. The basic features of the document are to study the objectives, patient selecti

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