Sentence examples for used for random variables from inspiring English sources

Capital letters are used for random variables, and lower case letters are used for their realizations.

Notation: throughout the paper, bold letters denote either vectors or matrices; upper-case letters are used for random variables, while lower-case letters indicate specific realizations of the corresponding random variable.

Uppercase letters will be used for random variables, that is, is a random variable modeling the th sample of the host signal, and is the random process related to the whole sequence.

Considering the probability distribution functions used nowadays for random variable (alpha in [0; 1])—one distribution deals with the range [0; 1], beta distribution.

The technique is used for both random variables and random fields.

A deterministic dynamic program using expected values for random variables, The ADP algorithm of Sect.

Here we present the minimized costs according to four optimization approaches: 1) A deterministic dynamic program using expected values for random variables,   2) The ADP algorithm of Sect.

This also implied the appropriateness of POME-based univariate marginals derived using the first four and three non-central moments for random variables X and Y, respectively.

A sensitivity analysis is also conducted to study the variations in the load and resistance factors due to changes in (a) coefficients of variation for pressure, moment, and ultimate stress, (b) ratio of mean design pressure to mean design moment, (c) distribution types used for characterizing the random variables, and (d) statistical correlation between random variables.

Boldface Italic lowercase characters, e.g., h, are used for representing either random variables or random vectors, while boldface Italic uppercase characters, e.g., H are used for representing random matrices.

Using ([9], Equation 46) the expected value for random variable γ1 is calculated as, E [ γ 1 ] = α 4 β 4 (46).