# prior distribution

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## prior distribution

[¦Prī·ər ‚dis·trə′byü·shən]
(statistics)
A probability distribution on the set of all possible values of an unknown parameter of a statistical model that describes information available from sources other than a statistical investigation, in particular, expert judgment, past experience, or prior belief.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
This maybe the reason why the extent of classical BayesB in which n is estimated by using a prior distribution and data information was proposed, such as ante-BayesB developed by Yang and Tempelman [4].
2016), we selected r = 0.35 as the width for the prior distributions. However, we also conducted a Bayesian sensitivity analysis that investigated the robustness of the results with r values of 0.2 and 0.5, which posit higher density in the Cauchy distribution at lower and higher effect sizes, respectively Conducting sensitivity analyses is frequently suggested by Bayesian statisticians to investigate whether the results obtained are excessively dependent on the selected prior distribution (Gelman et al.
All prior distributions were specified by a normal distribution.
In this study, the prior distribution is proposed to be the GEV distribution, because in all the cases studied, it was fitted properly, and because, when all the data were fitted to a GEVD, it was also fitted with a low probability of rejection (Figure 2).
In addition, the prior knowledge is usually insufficient to construct an accurate and informative prior distribution; thus, the noninformative prior or diffuse prior is assigned on account of the scarce or even absent prior knowledge.
with the importance density q([x.sub.k] | [x.sup.(j).sub.k-1], [z.sub.k]), the likelihood distribution p([z.sub.k] | [x.sup.(j).sub.k]), and the transition prior distribution p([x.sup.(j).sub.k] | [x.sup.(j).sub.k-1]); see [1-3, 5].
Since there is no sufficient prior information of the parameters to be estimated, the prior distribution without information is adopted.
For each prior distribution obtained for a region, we generate 1000 queries, which follows the prior distribution, to test DLS.
2.3 Data-derived prior distribution for population variability in toxicodynamics (default distribution)
(3) He finds, using a Bayesian analysis, that the data are essentially completely uninformative regarding key parameters governing the evolution of the natural rate of interest: The posterior distribution on the properties of the natural rate of interest process--for example, the variance of the innovation to the natural rate of interest--essentially equals the prior distribution. Kiley wondered if this was also true in the authors' analysis.
Under the terms of a prior distribution agreement with Ferring, Apricus has received a total of USD4.5m in upfront payments, a regulatory milestone payment of USD1.6m as well as eligible to receive up to an additional USD28m in regulatory, launch and sales milestones, plus royalties on future net sales.

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