Probability distributions are fundamental tools in statistics and probability theory, offering a mathematical framework to describe the likelihood of different outcomes in a random experiment or ...
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Abstract: This paper derives new bounds on the difference of the entropies of two discrete random variables in terms of the local and total variation distances between their probability mass functions ...
Fault-tolerant quantum computing architecture using hybrid qubits / Fault-tolerant quantum computing architecture based on hybrid qubits that utilize both DV and CV qubits simultaneously. It utilizes ...
Abstract: Consider a system comprising sensors that communicate with a remote estimator by way of a so-called collision channel. Each sensor observes a discrete random variable and must decide whether ...
Roll a die and ask students to identify the random variable. Since a die can only take on values of 1, 2, 3, 4, 5, or 6, this is a discrete random variable. Repeat ...
A random variable is a mathematical function that maps outcomes of random experiments to numbers. It can be thought of as the numeric result of operating a non-deterministic mechanism or performing a ...