kurtosis

Englisch - Türkisch

Definition von kurtosis im Englisch Türkisch wörterbuch: kürtosis; basıklık; (İstatistik) Dağılımı gösteren can eğrisinin basıklık-sivrilik derecesi; kurtoz; dağılım eğrisinde sivrilik (piklilik); (Dilbilim) dikey çarpıklık; sivrilik ölçüsü

Englisch - Englisch

Definition von kurtosis im Englisch Englisch wörterbuch: A measure of "peakedness" of a probability distribution, defined as the fourth cumulant divided by the square of the variance of the probability distribution; (İstatistik) In probability theory and statistics, curtosis or kurtosis (from the Greek word kurtos, meaning bulging) is a measure of the "peakedness" of the probability distribution of a real-valued random variable. Higher kurtosis means more of the variance is due to infrequent extreme deviations, as opposed to frequent modestly-sized deviations; Measures the fatness of the tails of a probability distribution A fat tailed distribution has higher than normal chances of a big positive or negative realization Kurtosis should not be confused with skewness which measures the fatness of one tail Kurtosis is sometimes refered to as the volatility of volatility; (Ticaret) A quality measure of the peakedness of a data distribution; Measures the fatness of the tails of a probability distribution A fat-tailed distribution has higher-than-normal chances of a big positive or negative realization Kurtosis should not be confused with skewness, which measures the fatness of one tail Kurtosis is sometimes referred to as the volatility of volatility; Refers to the peakedness or flatness of a frequency distribution as compared with a normal distribution; Descriptive measure of how flat or pointed a distribution is; A measure of the peakedness of a distribution calculated in several statlets This statistic is useful in determining how far your data departs from a normal distribution For the normal distribution, the theoretical kurtosis value equals 0 and the distribution is described as mesokurtic (Note: some authors define kurtosis such that a normal distribution has a value = 3 In STATLETS, the 3 has been subtracted away ) If the distribution has long tails (i e , an excess of data values near the mean and far from it) like the t-distribution, the statistic will be greater than 0 Such distributions are called "leptokurtic" Values of kurtosis less than 0 result from curves that have a flatter top than the normal distribution They are called "platykurtic" To judge whether data departs significantly from a normal distribution, a standardized kurtosis statistic can also be computed; A measure of the peakedness of a probability distribution For a random variable x with mean μ and standard deviation σ, kurtosis is the fourth central moment divided by the squared variance, E(x-μ)4/σ4 For a normal random variable, kurtosis is 3; A measure of the peakedness of a distribution; Kurtosis is a measurement of the peakedness (broad or narrow) of a frequency distribution; a measure of the "flatness" of a probability distribution