A Kernel Type Estimator of a Quantile Function from Right-Censored Data

1984 ◽  
Author(s):  
W. J. Padgett
2021 ◽  
Vol 71 (4) ◽  
pp. 961-982
Author(s):  
Farrukh Jamal ◽  
Christophe Chesneau ◽  
Khaoula Aidi

Abstract In this paper, we introduce the sine extended odd Fréchet-G family of distributions, obtained from two well-established families of distributions of completely different nature: the sine-G and the extended odd Fréchet-G families. A particular focus is put on a very flexible member of this family defin ed with the Nadarajah-Haghighi distribution as a baseline, called the sine extended odd Fréchet Nadarajah-Haghighi distribution. For the theoretical part, the interesting mathematical properties of the family are investigated, including asymptotes, quantile function, linear representations and moments, with application to the introduced special member. Then, the inferential aspects of the sine extended odd Fréchet Nadarajah-Haghighi model are examined. In particular, the parameters are estimated by the maximum likelihood method. Two complementary cases are distinguished: the complete data case and the right censored data case, with the development of appropriate statistical tests. A simulation study is carried out to illustrate the convergence of the obtained estimates. Applications are given for three practicaldata sets, including one having the right censored property, illustrating the applicability of the proposed model.


2021 ◽  
Author(s):  
Alexander Seipp ◽  
Verena Uslar ◽  
Dirk Weyhe ◽  
Antje Timmer ◽  
Fabian Otto‐Sobotka

Author(s):  
Tamara Fernández ◽  
Arthur Gretton ◽  
David Rindt ◽  
Dino Sejdinovic

2008 ◽  
Vol 20 (8) ◽  
pp. 693-720 ◽  
Author(s):  
Elisa–María Molanes-López ◽  
Ricardo Cao

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