Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order

Metrika ◽  
2014 ◽  
Vol 78 (2) ◽  
pp. 175-204 ◽  
Author(s):  
Agnieszka Goroncy ◽  
Tomasz Rychlik
Keyword(s):  
Order Statistics ◽  
Convex Transform Order ◽  
Optimal Bounds

scholarly journals On the Skewness of Order Statistics in Multiple-Outlier Models

2011 ◽  
Vol 48 (01) ◽  
pp. 271-284 ◽  
Author(s):  
Subhash Kochar ◽  
Maochao Xu
Keyword(s):  
Order Statistics ◽  
Open Problem ◽  
Parallel System ◽  
Exponential Component ◽  
Convex Transform Order ◽  
Independent And Identically Distributed

Kochar and Xu (2009) proved that a parallel system with heterogeneous exponential component lifetimes is more skewed (according to the convex transform order) than the system with independent and identically distributed exponential components. In this paper we extend this study to the generalk-out-of-nsystems for the case when there are only two types of component in the system. An open problem proposed in Pǎltǎnea (2008) is partially solved.

scholarly journals On the Skewness of Order Statistics in Multiple-Outlier Models

2011 ◽  
Vol 48 (1) ◽  
pp. 271-284 ◽  
Author(s):  
Subhash Kochar ◽  
Maochao Xu
Keyword(s):  
Order Statistics ◽  
Open Problem ◽  
Parallel System ◽  
Exponential Component ◽  
Convex Transform Order ◽  
Independent And Identically Distributed

Kochar and Xu (2009) proved that a parallel system with heterogeneous exponential component lifetimes is more skewed (according to the convex transform order) than the system with independent and identically distributed exponential components. In this paper we extend this study to the general k-out-of-n systems for the case when there are only two types of component in the system. An open problem proposed in Pǎltǎnea (2008) is partially solved.

An Urn Model and the Prediction of Order Statistics

1975 ◽  
Vol 4 (3) ◽  
pp. 245-250
Author(s):  
Kenneth Kaminsky ◽  
Eugene Luks ◽  
Paul Nelson
Keyword(s):  
Order Statistics ◽  
Urn Model

Review of Sturdy Statistics: Non-parametrics and Order Statistics.

1974 ◽  
Vol 19 (6) ◽  
pp. 488-488
Author(s):  
JOHN W. COTTON
Keyword(s):  
Order Statistics

Evaluation of a new Power Quality index, based in Higher Order Statistics

2017 ◽  
Vol 1 (15) ◽  
pp. 37-42
Author(s):  
J.M. Sierra-Fernández ◽  
J.J. González De La Rosa ◽  
A. Agüera-Pérez ◽  
J.C. Palomares Salas ◽  
O. Florencias-Oliveros
Keyword(s):  
Order Statistics ◽  
Power Quality ◽  
Quality Index ◽  
Higher Order ◽  
Higher Order Statistics
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