Transducer Types and Their Applications

01-08-2019
What is transducer? What are transducer types? Find out more about transducer types and their applications on HangOuter.

The Central Limit Theorem

02-14-2019
The Central Limit Theorem or CLT in short says that the distribution of scaled random variable approaches a normal distribution.

The Weak Law of Large Numbers

02-14-2019
According to law the sample mean \(\bar X\) of a large number of i.i.d.(independent identically distributed) random variables, with high probability, is very close to the mean, from a distribution for which it was taken.

Properties of Sample Mean

02-13-2019
If we have sequence of random variables \(X_1, X_2, ... X_n\), we can define Sample Mean \(\bar X\) as their average: $$\bar X = {1 \over n}(X_1 + X_2 + ... + X_n)$$

Chebyshev Inequality

02-12-2019
Says that the proability that X is far away from its mean, is bounded by quantity that increases as Var(X) increases.

Markov Inequality

02-11-2019
Puts bound on how much probability can be at arbitrarily large values once its mean is specified: $$if \;\;P(X \ge 0) = 1 $$ then $$P(X \ge t) \le {E(X) \over t}, where ~t > 0$$
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