Finite mixture modeling using shape mixtures of the skew scale mixtures of normal distributions

2019 ◽  
Vol 49 (12) ◽  
pp. 3345-3366 ◽  
Author(s):  
Mostafa Tamandi ◽  
Ahad Jamalizadeh
2018 ◽  
Vol 13 (1) ◽  
pp. 89-116 ◽  
Author(s):  
Camila Borelli Zeller ◽  
Celso Rômulo Barbosa Cabral ◽  
Víctor Hugo Lachos ◽  
Luis Benites

Test ◽  
1997 ◽  
Vol 6 (1) ◽  
pp. 205-221 ◽  
Author(s):  
S. T. B. Choy ◽  
A. F. M. Smith

2018 ◽  
Vol 29 (3) ◽  
pp. 415-428 ◽  
Author(s):  
Mohsen Maleki ◽  
Darren Wraith ◽  
Reinaldo B. Arellano-Valle

2021 ◽  
Vol 35 (2) ◽  
Author(s):  
Roohollah Roozegar ◽  
Narayanaswamy Balakrishnan ◽  
Andriette Bekker ◽  
Ahad Jamalizadeh

Axioms ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 38 ◽  
Author(s):  
Mohsen Maleki ◽  
Javier Contreras-Reyes ◽  
Mohammad Mahmoudi

In this paper, we examine the finite mixture (FM) model with a flexible class of two-piece distributions based on the scale mixtures of normal (TP-SMN) family components. This family allows the development of a robust estimation of FM models. The TP-SMN is a rich class of distributions that covers symmetric/asymmetric and light/heavy tailed distributions. It represents an alternative family to the well-known scale mixtures of the skew normal (SMSN) family studied by Branco and Dey (2001). Also, the TP-SMN covers the SMN (normal, t, slash, and contaminated normal distributions) as the symmetric members and two-piece versions of them as asymmetric members. A key feature of this study is using a suitable hierarchical representation of the family to obtain maximum likelihood estimates of model parameters via an EM-type algorithm. The performances of the proposed robust model are demonstrated using simulated and real data, and then compared to other finite mixture of SMSN models.


2008 ◽  
Vol 22 (4) ◽  
pp. 313-331 ◽  
Author(s):  
Mark F. Lenzenweger ◽  
John F. Clarkin ◽  
Frank E. Yeomans ◽  
Otto F. Kernberg ◽  
Kenneth N. Levy

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