Caesar AI Atlas

Sampling With Replacement

Caesar AI Atlas Definition

Sampling with replacement is a sampling method in which each selected item is returned to the candidate pool before the next selection. As a result, the same item can be selected multiple times, which is important in methods such as bootstrapping and bagging.

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Sampling With Replacement Source

A method of picking items from a set of candidate items in which the same item can be picked multiple times. The phrase "with replacement" means that after each selection, the selected item is returned to the pool of candidate items. The inverse method, sampling without replacement, means that a candidate item can only be picked once. For example, consider the following fruit set: Suppose that the system randomly picks as the first item. If using sampling with replacement, then the system picks the second item from the following set: Yes, that's the same set as before, so the system could potentially pick again. If using sampling without replacement, once picked, a sample can't be picked again. For example, if the system randomly picks as the first sample, then can't be picked again. Therefore, the system picks the second sample from the following (reduced) set: The word replacement in sampling with replacement confuses many people. In English, replacement means "substitution." However, sampling with replacement actually uses the French definition for replacement, which means "putting something back." The English word replacement is translated as the French word remplacement.

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