The Bahadur representation for kernel-type estimator of the quantile function under strong mixing and censored data

2011 ◽  
Vol 81 (8) ◽  
pp. 1306-1310
Author(s):  
M. Ajami ◽  
V. Fakoor ◽  
S. Jomhoori
Keyword(s):  
Censored Data ◽  
Quantile Function ◽  
Strong Mixing ◽  
Bahadur Representation ◽  
Kernel Type

A KERNEL-TYPE ESTIMATOR OF A QUANTILE FUNCTION UNDER RANDOMLY TRUNCATED DATA

2006 ◽  
Vol 26 (4) ◽  
pp. 585-594 ◽  
Author(s):  
Yong Zhou ◽  
Guofu Wu ◽  
Daoji Li
Keyword(s):  
Quantile Function ◽  
Truncated Data ◽  
Kernel Type

The sine extended odd Fréchet-G family of distribution with applications to complete and censored data

2021 ◽  
Vol 71 (4) ◽  
pp. 961-982
Author(s):  
Farrukh Jamal ◽  
Christophe Chesneau ◽  
Khaoula Aidi
Keyword(s):  
Censored Data ◽  
Statistical Tests ◽  
Quantile Function ◽  
Likelihood Method ◽  
Right Censored Data ◽  
Mathematical Properties ◽  
Linear Representations ◽  
Proposed Model ◽  
The Family ◽  
The Right

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.

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