Multinomial N-Mixture Models for Removal Sampling.

08:00 EDT 12th September 2019 | BioPortfolio

Summary of "Multinomial N-Mixture Models for Removal Sampling."

Multinomial N-mixture models are commonly used to fit data from a removal sampling protocol. If the mixing distribution is negative binomial, the distribution of the counts does not appear to have been identified and practitioners approximate the requisite likelihood by placing an upper bound on the embedded infinite sum. In this paper, the distribution which underpins the multinomial N-mixture model with a negative binomial mixing distribution is shown to belong to the broad class of multivariate negative binomial distributions. Specifically, the likelihood can be expressed in closed form as the product of conditional and marginal likelihoods and the information matrix shown to be block diagonal. As a consequence, the nature of the maximum likelihood estimates of the unknown parameters and their attendant standard errors can be examined and tests of hypothesis of the Poisson against the negative binomial mixing distribution formulated. In addition, appropriate multinomial N-mixture models for datasets which include zero site totals can also be constructed. Two illustrative examples are provided. This article is protected by copyright. All rights reserved.


Journal Details

This article was published in the following journal.

Name: Biometrics
ISSN: 1541-0420


DeepDyve research library

PubMed Articles [11454 Associated PubMed Articles listed on BioPortfolio]

Scalable estimation and regularization for the logistic normal multinomial model.

Clustered multinomial data are prevalent in a variety of applications such as microbiome studies, where metagenomic sequencing data are summarized as multinomial counts for a large number of bacterial...

Evaluation of efficiency and selectivity in the sorption process assisted by chemometric approaches: Removal of emerging contaminants from water.

This paper describes, by the first time, a chemometric approach that combines a simple set of the UV-Vis spectra and partial least square regression (PLSR) for measuring the removal of five pharmaceut...

Bioremediation of polycyclic aromatic hydrocarbons (PAHs) present in biomass fly ash by co-composting and co-vermicomposting.

An experiment was established to compare composting and vermicomposting for decreasing the content of polycyclic aromatic hydrocarbons (PAHs) in biomass fly ash incorporated into organic waste mixture...

Mapping urban air quality using mobile sampling with low-cost sensors and machine learning in Seoul, South Korea.

Recent studies have demonstrated that mobile sampling can improve the spatial granularity of land use regression (LUR) models. Mobile sampling campaigns deploying low-cost (

The removal efficiency and long-term hydraulic behaviour of zero valent iron/lapillus mixtures for the simultaneous removal of Cu, Ni and Zn.

Granular mixtures composed of zero valent iron (ZVI) and lapillus at two different weight ratios (i.e. 30:70 and 50:50) were tested through column experiments for the simultaneous removal of Cu, Ni an...

Clinical Trials [3560 Associated Clinical Trials listed on BioPortfolio]

Evaluation of the Three-Seeds Mixture Treatment in Chronic Obstructive Pulmonary Disease Patients

The purpose of this study is to test whether the three-seeds mixture tea reduces sputum and/or cough in COPD patients, and if so, to evaluate whether the three-seeds mixture changes the lu...

Pancreatic Cancer Models Developed From EUS Guided Biopsy Tissue

Pancreatic cancer is a very aggressive cancer. Over the past 40 years there has not been much progress made in reducing deaths from this cancer. Recently, new models of pancreatic cancers ...

Registration of the Study of Reyanning Mixture

The purpose of this study is to evaluate the efficacy and safety of treating with acute tonsillitis using Reyanning mixture alone/in combination with antibiotics, and its function of reduc...

Evaluation of of a Prefixed 50% N2O- 50%O2 Mixture in Legal Abortion Under Local Analgesia

To evaluate effectiveness of a prefixed 50% N2O- 50%O2 mixture in legal abortion under paracervical block.

Iron Absorption From a Wheat-based Instant Cereal:Gut and Stable Isotope Studies in Kenyan Infants

The aim of this study is to measure the effect of a prebiotic (high dose/low dose) mixture at different doses within a wheat-based instant cereal, on fractional iron absorption (FIA), gut ...

Medical and Biotech [MESH] Definitions

A sampling methodology using small sample sizes when conducting surveys in small geographical or population-based areas or lots.

Sampling of blood levels of the adrenocorticotropic hormone (ACTH) by withdrawal of blood from the inferior petrosal sinus. The inferior petrosal sinus arises from the cavernous sinus and runs to the internal jugular vein. Sampling of blood at this level is a valuable tool in the differential diagnosis of Cushing disease, Cushing syndrome, and other adrenocortical diseases.

A method for diagnosis of fetal diseases by sampling the cells of the placental chorionic villi for DNA analysis, presence of bacteria, concentration of metabolites, etc. The advantage over amniocentesis is that the procedure can be carried out in the first trimester.

Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment.

Statistical models in which the value of a parameter for a given value of a factor is assumed to be equal to a + bx, where a and b are constants. The models predict a linear regression.

Quick Search

DeepDyve research library

Searches Linking to this Article