Sentence examples for by a nonnegative random from inspiring English sources

A life is characterized by a nonnegative random variable.

Let { X n, n ≥ 1 } be a sequence of random variables stochastically dominated by a nonnegative random variable X.

Theorem 2.4 Let α ≥ 1 and { X n, F n, n ≥ 1 } be a martingale difference sequence stochastically dominated by a nonnegative random variable X with E X < ∞.

By using the method of dominated by a nonnegative random variable, we investigate the randomly weighted sums of martingale differences under some weakly conditions.

Let ({ X_{n},ngeq 1}) be a sequence of random variables, which is stochastically dominated by a nonnegative random variable X.

Theorem 2.1 Let α > 1 / 2, 1 < p < 2, 1 ≤ α p < 2 and { X n, F n, n ≥ 1 } be a martingale difference sequence stochastically dominated by a nonnegative random variable X with E X p < ∞.

Let be a nonnegative random variable.

Let be a nonnegative random variable and a positive number.

AG inequality:, where is a nonnegative random variable.

Let a be a positive constant and X be a nonnegative random variable.

Let {X n ; n ≥ 1} be a sequence of NQD random variables and let X be a nonnegative random variable.