A Note on Chebyshev Inequality: To Explain or to Predict
eucladian norm, monotonic function, jensen inequality
Abstract
The question is: What proportion of the total probability of a random varriable X lies within a certain interval of the mea ? What is the probability of being hit by a meteor greater in size than five times the standard deviation above the mean? Because it can be applied to completely arbitrary distributions(unknown except for mean and variables), the inequality generally gives a poor bound compared to what might be deduced if more aspects are known about the distribution involved.
Downloads
How to Cite
References
Anirban Dasgupta (2000) Best constants in Chebyshev inequalities with various applications. 51(3), 185-200.
K Ferentinos (1982) On Tcebycheff's type inequalities. 33(1), 125-132.
Samuel Kotz, N Balakrishnan, Norman Johnson (2012) Continuous Multivariate Distributions.
D Lal (1955) A Note on a Form of Tchebusheff's Inequality Two or More Variables. 15(3), 300-320.
M Mood, Grayhill (1963) A.M. Mood and F.A. Graybill Introduction to the Theory of Statistics. Second Edition. McGraw-Hill Series in Probability and Statistics. New York, San Francisco, Toronto, London, McGraw-Hill Book Company, Inc., 1963, XV p. 443 p., 69/6.. 30(6), 607-607.
Published
2017-08-24
Issue
Section
License
Copyright (c) 2017 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.