Results 91 to 100 of about 110,813 (305)

Definition and characterization of multivariate negative binomial distribution

open access: yes, 1979
The probability generating function (pgf) of an n-variate negative binomial distribution is defined to be [β(s1,…,sn)]−k where β is a polynomial of degree n being linear in each si and k > 0.
Doss, D.C
core   +1 more source

Integrated Single‐Cell and Spatial Analysis Reveals a Metabolic‐Immune Axis Driving Aortic Dissection

open access: yesAdvanced Science, EarlyView.
Single‐cell and spatial profiling of 110 human thoracic aortic samples reveals a stromal–immune circuit driving aortic dissection. An elastin‐rich fibroblast subset is depleted with age and markedly reduced in disease, weakening aortic wall integrity.
Jing Tao   +25 more
wiley   +1 more source

The role of super-spreading events in Mycobacterium tuberculosis transmission: evidence from contact tracing

open access: yesBMC Infectious Diseases, 2019
Background In current epidemiology of tuberculosis (TB), heterogeneity in infectiousness among TB patients is a challenge, which is not well studied. We aimed to quantify this heterogeneity and the presence of “super-spreading” events that can assist in ...
Yayehirad A. Melsew   +6 more
doaj   +1 more source

A new mixed negative binomial distribution

open access: yes, 2012
A negative binomial-beta exponential distribution is a new mixed negative binomial distribution obtained by mixing the negative binomial distribution with a beta exponential distribution.
Chookait Pudprommarat (20029461)   +2 more
core  

The Infinite Divisibility of Compound Negative Binomial Distribution as the Sum of Laplace Distribution

open access: yes, 2022
The infinite divisibility of compound negative binomial distribution especially as the sum of Laplace distribution has important roles in governing the mathematical model based on its characteristic function.
Yoza, Hazmira   +3 more
core   +1 more source

Combining Spatial Multi‐Omics Data to Decipher Spatial Domains and Elucidate Cell Heterogeneity Based on Self‐Supervised Graph Learning

open access: yesAdvanced Science, EarlyView.
A self‐supervised multi‐view graph fusion framework integrates spatial multi‐omics, excelling in domain identification and denoising. It reconstructs spatial pseudo‐expression, jointly analyzes multi‐omics data, infers RNA velocity, predicts spatial omics features from single‐cell multi‐omics, and detects spatially dark genes and transcription factors,
Yuejing Lu   +8 more
wiley   +1 more source

NEGATIVE BINOMIAL APPROXIMATION TO THE BETA BINOMIAL DISTRIBUTION [PDF]

open access: yesInternational Journal of Pure and Apllied Mathematics, 2015
This paper determines a bound on the approximation of the beta binomial distribution with parameters n, andby a negative binomial distri- bution with parametersand + + +n . With this bound, it is indicated that the beta binomial distribution can be well approximated by the negative binomial distribution whenis large.
openaire   +1 more source

Decoding Spatial Heterogeneity and Multi‐Omics Regulation with Hierarchical Graph Learning

open access: yesAdvanced Science, EarlyView.
ABSTRACT Recent advances in spatial multi‐omics technologies have enabled the simultaneous profiling of multiple molecular layers within the same tissue slice, providing unprecedented opportunities to investigate tissue spatial organization. However, most existing computational methods identify spatial domains in a purely data‐driven manner, rarely ...
Jiazhou Chen   +6 more
wiley   +1 more source

Application of the discrete distribution in Bayes analYsis of nature area coverage data

open access: yesLietuvos Matematikos Rinkinys, 2012
Classical statistical methods do not always provide desired results for every situation. Therefore, new alternative methods of data analysis are in demand. As the computational power becomes more modern, Bayes statistical methods are increasingly applied
Kęstutis Dučinskas   +2 more
doaj   +1 more source

Computational aspects of N-mixture models [PDF]

open access: yes, 2015
The N-mixture model is widely used to estimate the abundance of a population in the presence of unknown detection probability from only a set of counts subject to spatial and temporal replication (Royle, 2004, Biometrics 60,105–115).
Morgan, Byron J. T.   +3 more
core   +1 more source

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