scholarly journals Non-parametric predictive inference for future order statistics

2017 ◽  
Vol 47 (10) ◽  
pp. 2527-2548 ◽  
Author(s):  
Frank P. A. Coolen ◽  
Tahani Coolen-Maturi ◽  
Hana N. Alqifari
Keyword(s):  
Order Statistics ◽  
Predictive Inference ◽  
Non Parametric

Comparison among non parametric prediction intervals of order statistics

2015 ◽  
Vol 45 (9) ◽  
pp. 2699-2713 ◽  
Author(s):  
Elham Basiri ◽  
Jafar Ahmadi ◽  
Mohammad Z. Raqab
Keyword(s):  
Order Statistics ◽  
Prediction Intervals ◽  
Non Parametric

Completeness of Order Statistics

1954 ◽  
Vol 6 ◽  
pp. 42-45 ◽  
Author(s):  
D. A. S. Fraser
Keyword(s):  
Order Statistics ◽  
Continuous Distribution ◽  
Absolutely Continuous ◽  
Sufficient Statistic ◽  
Borel Sets ◽  
Uniform Distributions ◽  
General Distributions ◽  
Non Parametric

1. Introduction. Under the non-parametric assumption that a set of observations is a sample from an absolutely continuous distribution, the order statistics are known to form a complete sufficient statistic. It is proved in this note that it suffices to have the class of uniform distributions over finite numbers of intervals or the class of uniform distributions over sets of a ring which is a basis for the σ-algebra of Borel sets. This result is derived as a particular case of that of several samples from more general distributions.

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