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

Define hazard function, Hazard function : The risk which an individual expe...

Hazard function : The risk which an individual experiences an event in a small time interval, given that the individual has survived up to the starting of the interval. It is th

Durbin watson statistic, The Null Hypothesis - H0: There is no first order ...

The Null Hypothesis - H0: There is no first order autocorrelation The Alternative Hypothesis - H1: There is first order autocorrelation Durbin-Watson statistic = 1.98307

Data monitoring committees (dmc), Committees to monitor the accumulating da...

Committees to monitor the accumulating data from the clinical trials. Such committees have chief responsibilities for ensuring the continuing safety of the trial participants, rele

Empirical bayes method, The procedure in which the prior distribution is re...

The procedure in which the prior distribution is required in the application of Bayesian inference, it is determined from empirical evidence, namely same data for which the posteri

Explain time series, Time series : The values of a variable recorded, gener...

Time series : The values of a variable recorded, generally at a regular interval, over the long period of time. The observed movement and fluctuations of several such series are

Complier average causal effect (cace), Complier average causal effect (CACE...

Complier average causal effect (CACE): The treatment effect amid true compliers in the clinical trial. For the suitable response variable, the CACE is given by the difference in o

Biplots, Biplots: It is the multivariate analogue of the scatter plots, wh...

Biplots: It is the multivariate analogue of the scatter plots, which estimates the multivariate distribution of the sample in a few dimensions, typically two and superimpose on th

Factor rotation, Generally the final stage of an exploratory factor analysi...

Generally the final stage of an exploratory factor analysis in which factors derived initially are transformed to build their interpretation simpler. Generally the target of the pr

Draw histogram of income, The skewness is a measure of asymmetry and as it ...

The skewness is a measure of asymmetry and as it is positive at 4.29, it is greater than zero which reveals that the tail extends to the right indicating the distribution to be mor

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

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