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The Dispute over Dispersion

2000
Although by the early 1830s the wave theory of light had demonstrated its superior explanatory power in accounting for many optical phenomena, it was not without obstacle. The phenomenon of dispersion (light of different colors suffering different degrees of refraction in a prism) was still problematic for the wave theory.
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Modeling Over-Dispersed Microbiome Data

2018
However, count data is not purely relative—the count pair (1, 2) carries different information than counts of (1000, 2000) even though the relative amounts of the two components are the same.
Yinglin Xia, Jun Sun, Ding-Geng Chen
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Neural Network Embedding of the Over-Dispersed Poisson Reserving Model

SSRN Electronic Journal, 2018
The main idea of this paper is to embed a classical actuarial regression model into a neural network architecture. This nesting allows us to learn model structure beyond the classical actuarial regression model if we use as starting point of the neural network calibration exactly the classical actuarial model.
Gabrielli, Andrea   +2 more
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Generation of Over-Dispersed and Under-Dispersed Binomial Variates

Journal of Computational and Graphical Statistics, 1995
Abstract This article proposes an algorithm for generating over-dispersed and under-dispersed binomial variates with specified mean and variance. The over-dispersed/under-dispersed distributions are derived from correlated binary variables with an underlying continuous multivariate distribution.
Hongshik Ahn, James J. Chen
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Superoscillating Signal Transmission over Dispersive Media

2023 23rd International Conference on Transparent Optical Networks (ICTON), 2023
Yosef Ben-Ezra, Boris I. Lembrikov
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Analysis of short time series with an over-dispersion model

Communications in Statistics - Theory and Methods, 1995
There are certain situations where one observes several short time series. For instance, in testing the effect of a drug on patients, a doctor may obtain 3 or 4 blood pressure measurements every three hours from several patients; thus we have several short time series to deal with.
S. N. Rai, B. Abraham, S. Peiris
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Reducing over-dispersion by generalized degree of freedom and propensity score

Computational Statistics & Data Analysis, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Combined Coding and Modulation Approach for Communication over Dispersive Channels

IEEE Transactions on Communications, 1973
The concept of combining the design of the error-correcting-coding approach and the modulation format is treated in general terms and its effectiveness is demonstrated by a specific implementation referred to as Codem I. A new decoding algorithm is presented, which has the interesting property that the only channel measurement information utilized is ...
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Over-Dispersion, Credibility Adjustments, Mixed Models, and Regularization

2019
Data sets exhibiting a hierarchical or nested structure, or including longitudinal or spatial elements often arise in insurance studies. This generally results in correlation among the responses within the same group, casting doubts about the outputs of analyses assuming mutual independence.
Michel Denuit   +2 more
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Interval estimation of the mean difference in the analysis of over‐dispersed count data

Biometrical Journal, 2012
This paper focuses on the development and study of the confidence interval procedures for mean difference between two treatments in the analysis of over‐dispersed count data in order to measure the efficacy of the experimental treatment over the standard treatment in clinical trials. In this study, two simple methods are proposed.
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