Your English writing platform
Discover LudwigSuggestions(5)
Exact(5)
The conventional optimal design, for given type 1 and type 2 error rates, is the one which minimises the expected sample size under the null hypothesis.
The probability that y belongs to class k is just the posterior probability p k| y), which by Bayes' Theorem can be written as (2) p (k | y ) = π ^ k f k (y | θ ^ k ) ∑ c = 1 C π ^ c f c (y | θ ^ c ) Assigning y to the class which maximises this posterior probability (the maximum probability criterion) minimises the expected misclassification error.
Given an input variable x, a response variable y and some samples ({y_{i},x_{i}}^{N}_{i=1}), the goal is to obtain an estimated or approximation (hat {F}(x)), of the function F ∗(x) mapping x to y, that minimises the expected value of some specified loss function (L y,F x)) over the joint distribution of all (y,x) values.
This design minimises the expected number of treated patients, if the response rate is inadequate.
The first one minimises the expected sample size under the null hypothesis and is referred to as the 'optimal' design.
Similar(55)
The bit allocation should be chosen to minimise the expected distortion.
In life-cycle costing analyses, optimal design is usually achieved by minimising the expected value of the discounted costs.
The objective is to design optimal planned lead-times by minimising the expected sum of inventory holding costs and tardiness cost.
In this paper we apply Bayesian decision-making approaches to conformity assessment, using a loss function to quantify the cost of wrong decisions and deriving optimal decision rules that minimise the expected loss.
The Dynamic Overflow Risk Assessment (DORA) strategy aims to minimise the expected Combined Sewer Overflow (CSO) risk by considering (i) the water volume presently stored in the drainage network, (ii) the expected runoff volume (calculated by radar-based nowcast models) and – most important – (iii) the estimated uncertainty of the runoff forecasts.
In this paper, a two-player non-cooperative game is envisaged between on the one hand the network user seeking a path to minimise the expected trip cost and on the other hand an "evil entity" choosing link performance scenarios to maximise the expected trip cost.
More suggestions(2)
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com