Sentence examples for probability arguments from inspiring English sources

These probability arguments were, however, strongly criticized.

Probability arguments figured also in more practical discussions, such as debates during the 1750s and '60s about the rationality of smallpox inoculation.

It is shown in [23] using probability arguments that the L 2 norm data-fidelity term is most appropriate for removing additive Gaussian noise.

Then it can be shown using Taylor expansion and standard probability arguments that the second term is at the order of o p (1) under MAR I. Hence n − 1 / 2 U A = n − 1 / 2 ∑ i = 1 n ξ i π i S β ( Y i | X i ) + 1 − ξ i π i E i + o p ( 1 ).

He used frequentist probability arguments, which advocates of Bayesian statistics despise but have served us particle physicists well over time.

Using Taylor's series expansion and some probability arguments, converges in distribution to a zero-mean normal distribution [ 11].

The probabilistic information in the two domains is analytically synthesized through a total probability argument.

Using the probability argument, we construct the set of steady state equations by introducing the supplementary variable corresponding to elapsed service time.

b It holds trivially for the dummy target m = 0 as well, because p ( x k ( j ) ≠ 0 | j ∈ G k ( 0 ) ) = 0 and p ( x k ( j ) ≠ 0, j ∈ G k ( 0 ) ) = 0. From the total probability argument, it holds that p x k ( j ) ≠ 0 j ∈ G k ( m ) = ∑ i = 1 G p x k ( j ) ≠ 0, x k - 1 ( i ) ≠ 0, i ∈ G k - 1 ( m ) j ∈ G k ( m ).

It is also important to note that the Poisson distribution, as observed for the size of CCI changes in our example, was purely based on investigation of our data and not justified by any probability theory arguments.

Rather, what is assigned a probability is an argument, an argument having premisses (Peirce insisted on this spelling rather than the spelling "premises").