Exponential inequalities in linear calibration problem

2015 ◽  
Vol 45 (18) ◽  
pp. 5251-5262 ◽  
Author(s):  
Zerouati Halima ◽  
Dahmani Abdelnasser
Keyword(s):  
Linear Calibration ◽  
Exponential Inequalities ◽  
Calibration Problem

scholarly journals Almost complete convergence for the sequence of approximate solutions in linear calibration problem with α-mixing random data

Filomat ◽  
2020 ◽  
Vol 34 (10) ◽  
pp. 3251-3264
Author(s):  
Samia Khalfoune ◽  
Halima Zerouati
Keyword(s):  
Exact Solution ◽  
Complete Convergence ◽  
Approximate Solutions ◽  
Stochastic Method ◽  
Linear Calibration ◽  
Random Data ◽  
Exponential Inequalities ◽  
Numerical Example ◽  
Calibration Problem ◽  
Confidence Domain

In this work, we propose a stochastic method which gives an estimated solution for a linear calibration problem with ?-mixing random data. We establish exponential inequalities of Fuk Nagaev type, for the probability of the distance between the approximate solutions and the exact one. Furthermore, we build a confidence domain for the so mentioned exact solution. To check the validity of our results, a numerical example is proposed.

[A Bayesian Analysis of the Linear Calibration Problem]: Discussion

Technometrics ◽  
1981 ◽  
Vol 23 (4) ◽  
pp. 329 ◽  
Author(s):  
Joan R. Rosenblatt ◽  
Clifford H. Spiegelman
Keyword(s):  
Bayesian Analysis ◽  
Linear Calibration ◽  
Calibration Problem

[A Bayesian Analysis of the Linear Calibration Problem]: Response

Technometrics ◽  
1981 ◽  
Vol 23 (4) ◽  
pp. 344 ◽  
Author(s):  
William G. Hunter ◽  
Warren F. Lamboy
Keyword(s):  
Bayesian Analysis ◽  
Linear Calibration ◽  
Calibration Problem

A Likelihood Analysis of the Linear Calibration Problem

Technometrics ◽  
1975 ◽  
Vol 17 (4) ◽  
pp. 463-471 ◽  
Author(s):  
Ch. E. Minder ◽  
J. B. Whitney
Keyword(s):  
Linear Calibration ◽  
Calibration Problem ◽  
Likelihood Analysis
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