leptokurtosis: meaning, definition, pronunciation and examples
C2Technical, Academic
Quick answer
What does “leptokurtosis” mean?
A statistical property describing a probability distribution with fatter tails and a higher, sharper peak than a normal distribution.
Audio
Pronunciation
Definition
Meaning and Definition
A statistical property describing a probability distribution with fatter tails and a higher, sharper peak than a normal distribution.
In statistics and finance, leptokurtosis (positive excess kurtosis) indicates a distribution where extreme outcomes (both high and low) are more likely than in a normal distribution, implying greater risk of outlier events.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage. Spelling and pronunciation are consistent.
Connotations
Purely technical term with no regional connotative differences.
Frequency
Extremely low frequency in general discourse but equally used in relevant academic/professional fields in both regions.
Grammar
How to Use “leptokurtosis” in a Sentence
The [dataset/model/distribution] exhibits leptokurtosis.Leptokurtosis is present in [noun phrase].to test for leptokurtosisVocabulary
Collocations
Examples
Examples of “leptokurtosis” in a Sentence
adjective
British English
- The leptokurtic nature of the data invalidates the standard model.
- We observed a leptokurtic distribution in the results.
American English
- The returns are leptokurtic, suggesting high tail risk.
- A leptokurtic distribution was fitted to the dataset.
Usage
Meaning in Context
Business
Used in quantitative finance and risk management to describe asset return distributions with higher-than-expected probabilities of extreme gains or losses.
Academic
Core term in statistics, econometrics, and probability theory courses and research.
Everyday
Virtually never used.
Technical
Precise term in data analysis, statistical software output, and scientific papers describing distribution shape.
Vocabulary
Synonyms of “leptokurtosis”
Neutral
Weak
Vocabulary
Antonyms of “leptokurtosis”
Watch out
Common Mistakes When Using “leptokurtosis”
- Pronouncing it as 'lepto-kyoor-toe-sis' (correct: 'lepto-ker-toe-sis').
- Using it to mean simply 'high variance' (it's about the shape, not the spread).
- Confusing it with skewness (asymmetry).
FAQ
Frequently Asked Questions
No. Kurtosis is a general measure of the 'tailedness' of a distribution. Leptokurtosis is a specific type of kurtosis where the value is greater than that of a normal distribution (excess kurtosis > 0).
It signals that the probability of extreme market events (like crashes or bubbles) is higher than predicted by models assuming a normal distribution. This is critical for accurate risk assessment and pricing.
The daily returns of a stock market index (like the S&P 500) are famously leptokurtic. Most days see small changes, but the frequency of very large gains or losses is greater than a normal distribution would suggest.
The opposite is platykurtosis (excess kurtosis < 0), which describes a distribution with thinner tails and a flatter, broader peak than a normal distribution.
A statistical property describing a probability distribution with fatter tails and a higher, sharper peak than a normal distribution.
Leptokurtosis is usually technical, academic in register.
Leptokurtosis: in British English it is pronounced /ˌlɛptəʊkɜːˈtəʊsɪs/, and in American English it is pronounced /ˌlɛptoʊkɜːrˈtoʊsɪs/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of a LEPTOn (a tiny, fast particle) being KURT (sharp/abrupt) – a 'lepto-kurt' distribution is sharply peaked with 'fast-moving' extremes in the tails.
Conceptual Metaphor
A mountain with a very sharp peak and steep, long foothills (the tails), compared to a gently rounded hill (normal distribution).
Practice
Quiz
Which of the following is the BEST definition of leptokurtosis?