Binomial distribution and Hoeffding's inequality

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Difference between Binomial distribution and Hoeffding's inequality

Binomial distribution vs. Hoeffding's inequality

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own boolean-valued outcome: a random variable containing a single bit of information: success/yes/true/one (with probability p) or failure/no/false/zero (with probability q. In probability theory, Hoeffding's inequality provides an upper bound on the probability that the sum of bounded independent random variables deviates from its expected value by more than a certain amount.

Similarities between Binomial distribution and Hoeffding's inequality

Binomial distribution and Hoeffding's inequality have 6 things in common (in Unionpedia): Bernoulli trial, Expected value, Independence (probability theory), Probability, Probability theory, Random variable.

Bernoulli trial

In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted.

Bernoulli trial and Binomial distribution · Bernoulli trial and Hoeffding's inequality · See more »

Expected value

In probability theory, the expected value of a random variable, intuitively, is the long-run average value of repetitions of the experiment it represents.

Binomial distribution and Expected value · Expected value and Hoeffding's inequality · See more »

Independence (probability theory)

In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.

Binomial distribution and Independence (probability theory) · Hoeffding's inequality and Independence (probability theory) · See more »

Probability

Probability is the measure of the likelihood that an event will occur.

Binomial distribution and Probability · Hoeffding's inequality and Probability · See more »

Probability theory

Probability theory is the branch of mathematics concerned with probability.

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Random variable

In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.

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The list above answers the following questions

What Binomial distribution and Hoeffding's inequality have in common
What are the similarities between Binomial distribution and Hoeffding's inequality

Binomial distribution and Hoeffding's inequality Comparison

Binomial distribution has 76 relations, while Hoeffding's inequality has 20. As they have in common 6, the Jaccard index is 6.25% = 6 / (76 + 20).

References

This article shows the relationship between Binomial distribution and Hoeffding's inequality. To access each article from which the information was extracted, please visit:

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