The conditional variance for gamma mixtures of normal distributions

Statistics ◽  
2001 ◽  
Vol 35 (4) ◽  
pp. 319-330 ◽  
Author(s):  
Stergios B. Fotopoulos ◽  
Lijian He
Keyword(s):  
Conditional Variance ◽  
Normal Distributions ◽  
Gamma Mixtures ◽  
Mixtures Of Normal Distributions

scholarly journals On the Conditional Variance for Scale Mixtures of Normal Distributions

2000 ◽  
Vol 74 (2) ◽  
pp. 163-192 ◽  
Author(s):  
Stamatis Cambanis ◽  
Stergios B Fotopoulos ◽  
Lijian He
Keyword(s):  
Conditional Variance ◽  
Normal Distributions ◽  
Scale Mixtures ◽  
Mixtures Of Normal Distributions

scholarly journals Normal approximation for mixtures of normal distributions and the evolution of phenotypic traits

2021 ◽  
Vol 53 (1) ◽  
pp. 162-188
Author(s):  
Krzysztof Bartoszek ◽  
Torkel Erhardsson
Keyword(s):  
Normal Distribution ◽  
Phenotypic Trait ◽  
Phenotypic Traits ◽  
Normal Distributions ◽  
Average Value ◽  
Conditional Moments ◽  
Mixture Of Normal Distributions ◽  
Explicit Bounds ◽  
Mixtures Of Normal Distributions ◽  
Parameter Values

AbstractExplicit bounds are given for the Kolmogorov and Wasserstein distances between a mixture of normal distributions, by which we mean that the conditional distribution given some $\sigma$ -algebra is normal, and a normal distribution with properly chosen parameter values. The bounds depend only on the first two moments of the first two conditional moments given the $\sigma$ -algebra. The proof is based on Stein’s method. As an application, we consider the Yule–Ornstein–Uhlenbeck model, used in the field of phylogenetic comparative methods. We obtain bounds for both distances between the distribution of the average value of a phenotypic trait over n related species, and a normal distribution. The bounds imply and extend earlier limit theorems by Bartoszek and Sagitov.

Mean mixtures of normal distributions: properties, inference and application

Metrika ◽  
2018 ◽  
Vol 82 (4) ◽  
pp. 501-528 ◽  
Author(s):  
Hossein Negarestani ◽  
Ahad Jamalizadeh ◽  
Sobhan Shafiei ◽  
Narayanaswamy Balakrishnan
Keyword(s):  
Normal Distributions ◽  
Mixtures Of Normal Distributions

Hierarchical models with scale mixtures of normal distributions

Test ◽  
1997 ◽  
Vol 6 (1) ◽  
pp. 205-221 ◽  
Author(s):  
S. T. B. Choy ◽  
A. F. M. Smith
Keyword(s):  
Hierarchical Models ◽  
Normal Distributions ◽  
Scale Mixtures ◽  
Mixtures Of Normal Distributions

On multivariate selection scale-mixtures of normal distributions

2021 ◽  
Vol 35 (2) ◽  
Author(s):  
Roohollah Roozegar ◽  
Narayanaswamy Balakrishnan ◽  
Andriette Bekker ◽  
Ahad Jamalizadeh
Keyword(s):  
Normal Distributions ◽  
Scale Mixtures ◽  
Mixtures Of Normal Distributions
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