Sentence examples for the probabilities of error from inspiring English sources

The (b) part of the claim follows from the analysis presented in Section 5. Notice that the fact that the probabilities of error exponentially vanish with when the expected values of the corresponding random variables differ is a classical result of detection and estimation theory [11].

The probability that a character is transmitted without error is labeled p; hence, the probability of error is 1 − p. Consider what happens as zeros and ones, hereafter referred to as bits, emerge from the receiving end of the channel.

The probability of error is defined as.

The probability of error is given by the conditional probability of error given,, and.

The probability of error is given by, (47).

Let the probability of error in decoding from (8) be, then the probability of error in decoding from (7) with successive decoding is (9).

The calculation of the probability of error conditioned on and is straightforward: (9).

The probability of error and the throughput achieved with each decoding algorithm is evaluated.

The probability of error is derived below based on the probabilities in Eqs.

Therefore, the probability of error goes to zero as from (A.2) and completes the proof.

Moreover, the complex system architecture often causes scalability problems and increases the probability of error occurrence.