According to the Hoeffding's inequality equation for sample vs actual data: PEin - Eout <2Me-2²N Where P is probability, M is number of samples, N is a sample size, Ein and Eout are in and out of sample errors respectively. What is the ideal condition to have a perfect sample that can represent the whole population? Why is it impossible to get it? Show it mathematically.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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According to the Hoeffding's inequality equation for sample vs actual data:
P[Ein - Eout |≤ 2Me-2²N
Where P is probability, M is number of samples, N is a sample size, Ein and Eout are in and out of sample errors respectively.
What is the ideal condition to have a perfect sample that can represent the whole population? Why is it impossible to get it? Show it mathematically.
Transcribed Image Text:According to the Hoeffding's inequality equation for sample vs actual data: P[Ein - Eout |≤ 2Me-2²N Where P is probability, M is number of samples, N is a sample size, Ein and Eout are in and out of sample errors respectively. What is the ideal condition to have a perfect sample that can represent the whole population? Why is it impossible to get it? Show it mathematically.
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