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Sampling from (12) is computationally more intensive, especially when N is large, but our method is based on a direct approximation of p(a 1 i |a i+1:n,y 1 n ) based on (left (a^{k}_{1:i-1}right)_{1le k le N}) and a i+1:n instead of approximate MCMC draws.
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The weighted approximation properties and a direct approximation theorem have been obtained.
We study a direct approximation theorem by means of the unified Ditzian Totik modulus of smoothness.
We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation theorem by means of the Ditzian Totik modulus of smoothness.
One of the most common approaches to estimating demand relationships is based on a direct differential approximation of the demand function, which generates a set of equations that are local first-order approximations of the underlying relationship between prices, quantities and income (Okrent and Alston 2011).
The three-dimensional finite element formulation is based on the direct approximation of temperature and relative humidity (RH) in the element domain.
The other relies on a fast approximation procedure for calculating Poisson-binomial P-values, which we call bi-binomial approximation (BBA) or bi-binomial distribution (BBD).
A hybrid technique consisting of the EFEM0 approximation superimposed on a direct field is used to model moderately damped plates.
In this work, a method to directly design two-dimensional pulses using the small-tip angle approximation is introduced based on a direct matrix representation.
We will show a direct inequality of approximation by the Baskakov-Durrmeyer operator given in (1.10).
We base the selection between the best relaying path and the direct path on a low-SNR approximation of Shannon law in the linear domain; one gets twice the capacity with twice the power.
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