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Bayesian estimation in NONMEM [PDF]

CPT: Pharmacometrics & Systems Pharmacology, 2023
Bayesian estimation is a powerful but underutilized tool for answering drug development questions. In this tutorial, the principles of Bayesian model development, assessment, and prior selection will be outlined.
Curtis K. Johnston, Timothy Waterhouse, Matthew Wiens, John Mondick, Jonathan French, William R. Gillespie   +5 more
doaj   +4 more sources

Bayesian and Non-Bayesian Estimation Methods for Simulating the Parameter of the Akshaya Distribution

Computational Journal of Mathematical and Statistical Sciences, 2022
The ”Akshaya distribution” is a model one-parameter continuous distribution that has been proposed by [15] for modelling lifetime data from biological research and engineering.
Ahlam. H. Tolba
doaj   +2 more sources

Posterior Summarization in Bayesian Phylogenetics Using Tracer 1.7

Systematic Biology, 2018
Bayesian inference of phylogeny using Markov chain Monte Carlo (MCMC) plays a central role in understanding evolutionary history from molecular sequence data.
Andrew Rambaut, Alexei J. Drummond, Dong Xie   +2 more
exaly   +2 more sources

Bayesian Estimation of Multicomponent Stress–Strength Model Using Progressively Censored Data from the Inverse Rayleigh Distribution [PDF]

Entropy
This paper presents a comprehensive study on the estimation of multicomponent stress–strength reliability under progressively censored data, assuming the inverse Rayleigh distribution.
Asuman Yılmaz
doaj   +2 more sources

Bayesian estimation of orientation and direction tuning captures parameter uncertainty [PDF]

Frontiers in Neural Circuits
This study explores the efficacy of Bayesian estimation in modeling the orientation and direction selectivity of neurons in the primary visual cortex (V1).
Zongting Wu, Stephen D. Van Hooser
doaj   +2 more sources

Linear Bayesian Estimation of Misrecorded Poisson Distribution [PDF]

Entropy
Parameter estimation is an important component of statistical inference, and how to improve the accuracy of parameter estimation is a key issue in research.
Huiqing Gao, Zhanshou Chen, Fuxiao Li
doaj   +2 more sources

On Bayesian estimation of a latent trait model defined by a rank-based likelihood [PDF]

Scientific Reports
Maximum likelihood estimation (frequentist) and Bayesian estimation are two common parameter estimation methods. However, maximum likelihood estimation faces limitations, including the effect of outliers, computational complexity, and issues with ordinal
Daniel Biftu Bekalo, Anthony Kibira Wanjoya, Samuel Musili Mwalili   +2 more
doaj   +2 more sources

Empirical E-Bayesian estimation for the parameter of Poisson distribution

AIMS Mathematics, 2021
This paper introduces a new method of estimation, empirical E-Bayesian estimation. In this method, we consider the hyperparameters of E-Bayesian estimation are unknown.
Heba S. Mohammed
doaj   +1 more source

Estimation of Entropy for Generalized Rayleigh Distribution under Progressively Type-II Censored Samples

Axioms, 2023
This paper investigates the problem of entropy estimation for the generalized Rayleigh distribution under progressively type-II censored samples. Based on progressively type-II censored samples, we first discuss the maximum likelihood estimation and ...
Haiping Ren, Qin Gong, Xue Hu
doaj   +1 more source

Bayesian Estimations of Shannon Entropy and Rényi Entropy of Inverse Weibull Distribution

Mathematics, 2023
In this paper, under the symmetric entropy and the scale squared error loss functions, we consider the maximum likelihood (ML) estimation and Bayesian estimation of the Shannon entropy and Rényi entropy of the two-parameter inverse Weibull distribution ...
Haiping Ren, Xue Hu
doaj   +1 more source