Statistical inference for coherent systems with Weibull distributed component lifetimes under complete and incomplete information

2019 ◽  
Vol 35 (4) ◽  
pp. 1011-1027
Author(s):  
A. Jablonka ◽  
E. Cramer ◽  
M. Hermanns
Keyword(s):  
Incomplete Information ◽  
Statistical Inference ◽  
Coherent Systems

scholarly journals Conservative Inference Rule for Uncertain Reasoning under Incompleteness

2009 ◽  
Vol 34 ◽  
pp. 757-821 ◽  
Author(s):  
M. Zaffalon ◽  
E. Miranda
Keyword(s):  
Expert Systems ◽  
Incomplete Information ◽  
Statistical Inference ◽  
Pattern Classification ◽  
Inference Rule ◽  
Bayesian Theory ◽  
Necessary Condition ◽  
Uncertain Reasoning ◽  
General Terms ◽  
Abstract Rule

In this paper we formulate the problem of inference under incomplete information in very general terms. This includes modelling the process responsible for the incompleteness, which we call the incompleteness process. We allow the process' behaviour to be partly unknown. Then we use Walley's theory of coherent lower previsions, a generalisation of the Bayesian theory to imprecision, to derive the rule to update beliefs under incompleteness that logically follows from our assumptions, and that we call conservative inference rule. This rule has some remarkable properties: it is an abstract rule to update beliefs that can be applied in any situation or domain; it gives us the opportunity to be neither too optimistic nor too pessimistic about the incompleteness process, which is a necessary condition to draw reliable while strong enough conclusions; and it is a coherent rule, in the sense that it cannot lead to inconsistencies. We give examples to show how the new rule can be applied in expert systems, in parametric statistical inference, and in pattern classification, and discuss more generally the view of incompleteness processes defended here as well as some of its consequences.

Essentials of Statistical Inference

2005 ◽  
Author(s):  
G. A. Young ◽  
R. L. Smith
Keyword(s):  
Statistical Inference

Randomization and Statistical Inference

1975 ◽  
Vol 4 (8) ◽  
pp. 723-735
Author(s):  
Robert Easterling
Keyword(s):  
Statistical Inference

Statistical Inference for Measurement Models

1970 ◽  
Vol 15 (6) ◽  
pp. 402, 404-405
Author(s):  
ROBERT E. DEAR
Keyword(s):  
Statistical Inference ◽  
Measurement Models

Averaging of temporal memories under conditions of incomplete information

2011 ◽  
Author(s):  
Joseph Leman ◽  
Matthew S. Matell ◽  
Michael Brown
Keyword(s):  
Incomplete Information
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