Statistical Properties of the Maximum Likelihood Method of Phylogenetic Estimation and Comparison with Distance Matrix Methods

1994 ◽  
Vol 43 (3) ◽  
pp. 329 ◽  
Author(s):  
Ziheng Yang
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Method ◽  
Distance Matrix ◽  
Statistical Properties ◽  
Likelihood Method ◽  
Matrix Methods ◽  
Phylogenetic Estimation

scholarly journals A New One-parameter G Family of Compound Distributions: Copulas, Statistical Properties and Applications

2021 ◽  
Vol 9 (4) ◽  
pp. 942-962
Author(s):  
Mohamed Abo Raya
Keyword(s):  
Maximum Likelihood ◽  
Hazard Function ◽  
Maximum Likelihood Method ◽  
Real Data ◽  
Heavy Tail ◽  
Statistical Properties ◽  
Likelihood Method ◽  
Model Parameters ◽  
Data Sets ◽  
New Family

This work introduces a new one-parameter compound G family. Relevant statistical properties are derived. The new density can be “asymmetric right skewed with one peak and a heavy tail”, “symmetric” and “left skewedwith one peak”. The new hazard function can be “upside-down”, “upside-down-constant”, “increasing”, “decreasing” and “decreasing-constant”. Many bivariate types have been also derived via different common copulas. The estimation of the model parameters is performed by maximum likelihood method. The usefulness and flexibility of the new family is illustrated by means of two real data sets.

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