# Skewness and Kurtosis in Statistical Kinetics

Source: [Skewness and Kurtosis in Statistical Kinetics](<https://www.sota2.com/research/paper/68fa327c1e209131ce88895a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T03:37:49.778Z

Authors: Andre C. Barato, Udo Seifert

Published: 2015-10-12T13:49:10.000Z

## Abstract

We obtain lower and upper bounds on the skewness and kurtosis associated with the cycle completion time of unicyclic enzymatic reaction schemes. Analogous to a well known lower bound on the randomness parameter, the lower bounds on skewness and kurtosis are related to the number of intermediate states in the underlying chemical reaction network. Our results demonstrate that evaluating these higher order moments with single molecule data can lead to information about the enzymatic scheme that is not contained in the randomness parameter.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1510.03279>)

[PDF](<https://arxiv.org/pdf/1510.03279.pdf>)