Journal of Mathematics, 2023 Many statisticians resort to using the asymptotic normal approximation method to carry out statistical inference for many statistical tests, especially nonparametric ones.
Abd El-Raheem M. Abd El-Raheem +2 more
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Scalable and Robust Regression Methods for Phenome-Wide Association Analysis on Large-Scale Biobank Data [PDF]
Frontiers in Genetics, 2021 With the advances in genotyping technologies and electronic health records (EHRs), large biobanks have been great resources to identify novel genetic associations and gene-environment interactions on a genome-wide and even a phenome-wide scale.
Wenjian Bi +3 more
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Significance evaluation in factor graphs [PDF]
BMC Bioinformatics, 2017 Background Factor graphs provide a flexible and general framework for specifying probability distributions. They can capture a range of popular and recent models for analysis of both genomics data as well as data from other scientific fields.
Tobias Madsen +3 more
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Efficient and accurate framework for genome-wide gene-environment interaction analysis in large-scale biobanks [PDF]
Nature CommunicationsGene-environment interaction (G×E) analysis elucidates the interplay between genetic and environmental factors. Genome-wide association studies (GWAS) have expanded to encompass complex traits like time-to-event and ordinal traits, which provide richer ...
Yuzhuo Ma +3 more
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SPAmix: a scalable, accurate, and universal analysis framework for large-scale genetic association studies in admixed populations [PDF]
Genome BiologyBackground Inclusion of individuals with diverse or admixed genetic ancestries is crucial to discover novel findings that may be missed by genomics analyses rooted solely in European population.
Yuzhuo Ma +13 more
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Explaining the saddlepoint approximation [PDF]
, 1995 Saddlepoint approximations are powerful tools for obtaining accurate expressions for densities and distribution functions. \Ve give an elementary motivation and explanation of saddlepoint approximation techniques, stressing the connection with the ...
Casella, George, Goutis, Constantinos
core +3 more sources
A robust and fast two-sample test of equal correlations with an application to differential co-expression. [PDF]
Stat Med, 2023 A robust and fast two‐sample test for equal Pearson correlation coefficients (PCCs) is important in solving many biological problems, including, for example, analysis of differential co‐expression. However, few existing methods for this test can achieve robustness against deviation from normal distributions, accuracy under small sample sizes, and ...
He L +4 more
europepmc +2 more sources
Latent multinomial models for extended batch-mark data. [PDF]
Biometrics, 2023 Abstract Batch marking is common and useful for many capture–recapture studies where individual marks cannot be applied due to various constraints such as timing, cost, or marking difficulty. When batch marks are used, observed data are not individual capture histories but a set of counts including the numbers of individuals first marked, marked ...
Zhang W, Bonner SJ, McCrea RS.
europepmc +2 more sources
Computation of the Distribution of the Sum of Independent Negative Binomial Random Variables
Mathematical and Computational Applications, 2023 The distribution of the sum of negative binomial random variables has a special role in insurance mathematics, actuarial sciences, and ecology. Two methods to estimate this distribution have been published: a finite-sum exact expression and a series ...
Marc Girondot, Jon Barry
doaj +1 more source
Modified control variates method based on second-order saddle-point approximation for practical reliability analysis [PDF]
Mechanical Sciences, 2023 A novel method is presented for efficiently analyzing the reliability of engineering components and systems with highly nonlinear complex limit state functions.
X. En, X. En, Y. Zhang, X. Huang
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