Properties of the Spearman Correction for Attenuation for Normal and Realistic Non-Normal Distributions

1997 ◽  
Vol 21 (3) ◽  
pp. 253-270 ◽  
Author(s):  
Donald W. Zimmerman ◽  
Richard H. Williams
Keyword(s):  
Normal Distributions ◽  
Correction For Attenuation

Normal Distributions

1989 ◽  
Author(s):  
Teresa M. Amabile
Keyword(s):  
Normal Distributions

Distribution of in vivo insulin action in Pima Indians as mixture of three normal distributions

Diabetes ◽  
1989 ◽  
Vol 38 (11) ◽  
pp. 1423-1432 ◽  
Author(s):  
C. Bogardus ◽  
S. Lillioja ◽  
B. L. Nyomba ◽  
F. Zurlo ◽  
B. Swinburn ◽  
...  
Keyword(s):  
Insulin Action ◽  
Pima Indians ◽  
Normal Distributions

Log-normal distributions in parasitology

1984 ◽  
Vol 93 (6) ◽  
pp. 591-598 ◽  
Author(s):  
Sandeep K Malhotra
Keyword(s):  
Normal Distributions ◽  
Log Normal

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.

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