Math Problem Statement

In cryptography, random noise is added to messages. Using statistical inference, you want to estimate the original message value. Which estimator is unbiased and consistent?

a. The average of the messages

b. The median of the messages

c. The maximum value of the messages

d. The variance of the messages

Solution

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Math Problem Analysis

Mathematical Concepts

Statistical Inference
Estimators
Cryptography

Formulas

Sample Mean
Median Estimator

Theorems

Law of Large Numbers
Unbiasedness and Consistency Theorem

Suitable Grade Level

Undergraduate (Statistics/Cryptography)