kurtosisn.

Brit.

/kəːˈtəʊsɪs/, U.S.

/kərˈtoʊsəs/

Etymology: modern Latin, < Greek κύρτωσις a bulging, convexity, < κυρτός bulging, convex.

Statistics.

A shape characteristic of a frequency distribution that reflects the sharpness of the peak (for a unimodal distribution) and the shortness of the tails, and is generally measured by the quantity μ₄/μ₂² or its excess over 3 (μ₄ and μ₂ being the fourth and the second moments about the mean of the distribution).

ΚΠ

1905 K. Pearson in Biometrika 4 181 I have already called β₂−3 = η the degree of kurtosis.

1931 L. H. C. Tippett Methods Statistics ii. 28 There are several curves having the same standard deviation but varying kurtosis.

1952 W. L. Gore Statistical Methods for Chem. Exper. ii. 16 The kurtosis is useful in determining if a frequency distribution differs from the normal error curve. The kurtosis of a normal distribution is equal to 3; smaller values than 3 indicate a flatter distribution than the normal (a platykurtic distribution), while values above 3 indicate a more sharply peaked distribution than the normal (a leptokurtic distribution).

1968 P. A. P. Moran Introd. Probability Theory vii. 317 Tables of..the co-efficient of kurtosis μ₄μ₂⁻²−3.

1972 P. Laslett Househ. & Family in Past Time iv. 129 These variables were then summed and averaged: measures of skewness and kurtosis were computed.

This entry has not yet been fully updated (first published 1976; most recently modified version published online March 2022).

单词	kurtosis
释义	kurtosisn. Brit. /kəːˈtəʊsɪs/, U.S. /kərˈtoʊsəs/ Etymology: modern Latin, < Greek κύρτωσις a bulging, convexity, < κυρτός bulging, convex. Statistics. A shape characteristic of a frequency distribution that reflects the sharpness of the peak (for a unimodal distribution) and the shortness of the tails, and is generally measured by the quantity μ₄/μ₂² or its excess over 3 (μ₄ and μ₂ being the fourth and the second moments about the mean of the distribution). ΚΠ 1905 K. Pearson in Biometrika 4 181 I have already called β₂−3 = η the degree of kurtosis. 1931 L. H. C. Tippett Methods Statistics ii. 28 There are several curves having the same standard deviation but varying kurtosis. 1952 W. L. Gore Statistical Methods for Chem. Exper. ii. 16 The kurtosis is useful in determining if a frequency distribution differs from the normal error curve. The kurtosis of a normal distribution is equal to 3; smaller values than 3 indicate a flatter distribution than the normal (a platykurtic distribution), while values above 3 indicate a more sharply peaked distribution than the normal (a leptokurtic distribution). 1968 P. A. P. Moran Introd. Probability Theory vii. 317 Tables of..the co-efficient of kurtosis μ₄μ₂⁻²−3. 1972 P. Laslett Househ. & Family in Past Time iv. 129 These variables were then summed and averaged: measures of skewness and kurtosis were computed. This entry has not yet been fully updated (first published 1976; most recently modified version published online March 2022). < n.1905
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