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

Paired samples, Paired samples are the two samples of the observations wit...

Paired samples are the two samples of the observations with the characteristic feature with each of the observation in one sample have only one matching observation in the other s

Play-the-winner rule, Play-the-winner rule is a process sometimes consider...

Play-the-winner rule is a process sometimes considered in the clinical trials in which the response to treatment is positive (a success) or negative (a failure). One of two treatm

Chance events, Chance events : According to the Cicero these are events whi...

Chance events : According to the Cicero these are events which occurred or will occur in ways which are the uncertain-events which may happen, may not happen, or may happen in some

Disclosure risk, The risk of being able to recognize the respondent's confi...

The risk of being able to recognize the respondent's confidential information in the data set. Number of approaches has been proposed to measure the disclosure risk some of which c

Continuous variable, Continuous variable : The measurement which is not res...

Continuous variable : The measurement which is not restricted to the particular values except in so far as this is constrained by the accuracy of measuring instrument. General exam

Mantel haenszel estimator, Mantel Haenszel  estimator is  an estimator o...

Mantel Haenszel  estimator is  an estimator of assumed common odds ratio in the series of two-by-two contingency tables arising from the different populations, for instance, occ

Case Study: Test Market, You and your team have been hired as strategic con...

You and your team have been hired as strategic consultants by the hugely successful retailer known as “Cutie Pie”. The company sells many products, although one product in particul

Mendelian randomization, Mendelian randomization is the term applied to th...

Mendelian randomization is the term applied to the random assortment of alleles at the time of gamete formation, a process which results in the population distributions of genetic

Probability and random processes, how to find the PDF and CDF of a gamma ra...

how to find the PDF and CDF of a gamma random variable with given equation?

Quatitative methods, An oil company is considering whether or not to bid fo...

An oil company is considering whether or not to bid for an offshore drilling contract. If they bid, the value would be $600m with a 65% chance of gaining the contract. The company

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