Reliable Dual Tensor Model Estimation in Single and Crossing Fibers Based on Jeffreys Prior. [PDF]
PLoS ONE, 2016 This paper presents and studies a framework for reliable modeling of diffusion MRI using a data-acquisition adaptive prior.Automated relevance determination estimates the mean of the posterior distribution of a rank-2 dual tensor model exploiting ...
Jianfei Yang +6 more
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A Direct Bayesian Methodology to Identify the Order of Moving Average Processes using Different Prior Distributions [PDF]
The Egyptian Statistical Journal, 2022 The current study handles the direct Bayesian identification of moving average processes based on different priors. The priors considered in the article are g, natural-conjugate as well as Jeffreys' priors. Posterior probability mass functions for moving
Mohamed Al Bassam +2 more
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Geometric properties of noninformative priors based on the chi-square divergence
Frontiers in Applied Mathematics and Statistics, 2023 Recently, a noninformative prior distribution that is different from the Jeffreys prior was derived as an extension of Bernardo's reference prior based on the chi-square divergence.
Fuyuhiko Tanaka, Fuyuhiko Tanaka
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The Bayesian confidence intervals for measuring the difference between dispersions of rainfall in Thailand [PDF]
PeerJ, 2020 The coefficient of variation is often used to illustrate the variability of precipitation. Moreover, the difference of two independent coefficients of variation can describe the dissimilarity of rainfall from two areas or times.
Noppadon Yosboonruang +2 more
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Bayesian Inference under Small Sample Sizes Using General Noninformative Priors
Mathematics, 2021 This paper proposes a Bayesian inference method for problems with small sample sizes. A general type of noninformative prior is proposed to formulate the Bayesian posterior.
Jingjing He +4 more
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Confidence Intervals for the Ratio of Variances of Delta-Gamma Distributions with Applications
Axioms, 2022 Since rainfall data often contain zero observations, the ratio of the variances of delta-gamma distributions can be used to compare the rainfall dispersion between two rainfall datasets.
Wansiri Khooriphan +2 more
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Confidence intervals for the coefficient of variation and the difference between coefficients of variation of inverse-gamma distributions [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 The aim of this study is to establish new confidence intervals for the single coefficient of variation of an inversegamma distribution using Bayesian methods based on the Jeffreys, reference, and uniform priors and compare them with the Wald method. The
Theerapong Kaewprasert +2 more
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A Zero-and-One Inflated Cosine Geometric Distribution and Its Application
Mathematics, 2022 Count data containing both excess zeros and ones occur in many fields, and the zero-and-one inflated distribution is suitable for analyzing them. Herein, we construct confidence intervals (CIs) for the parameters of the zero-and-one inflated cosine ...
Sunisa Junnumtuam +2 more
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Bayesian Estimation of the Scale Parameter of the Complete Even Power Exponential Distribution [PDF]
The Egyptian Statistical Journal, 1997 This paper presents Bayes estimators of the scale parameter of complete even power exponential distribution under a variety of loss functions and using both the natural conjugate prior and the Jeffreys invariant prior.
Reda Mazloum
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Far from Asymptopia: Unbiased High-Dimensional Inference Cannot Assume Unlimited Data
Entropy, 2023 Inference from limited data requires a notion of measure on parameter space, which is most explicit in the Bayesian framework as a prior distribution. Jeffreys prior is the best-known uninformative choice, the invariant volume element from information ...
Michael C. Abbott, Benjamin B. Machta
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