Volume 3, Number 1 (March 2004)                   JIRSS 2004, 3(1): 1-37 | Back to browse issues page

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Singpurwalla N D, Wilson P. When Can Finite Testing Ensure Infinite Trustworthiness?. JIRSS. 2004; 3 (1) :1-37
URL: http://jirss.irstat.ir/article-1-100-en.html

Abstract:   (4333 Views)

In this paper we contribute to the general philosophical‎ ‎question as to whether empirical testing can ever prove a physical law.‎ ‎Problems that lead to this question arise under several contexts‎, ‎and the ‎matter has been addressed by the likes of Bayes and Laplace‎. ‎After pointing‎ ‎out that a Bayesian approach is the proper way to address this problem‎, ‎we‎ ‎show that the answer depends on what we start with‎. ‎Namely‎, ‎under certain‎ ‎prior assumptions‎, ‎a finite amount of testing can lead to the conclusion of‎ ‎total trustworthiness‎, ‎though such priors could be unrealistic‎. ‎However‎, ‎we ‎do produce a new class of priors under which a finite amount of testing can‎ ‎lead to a high degree of trustworthiness‎, ‎at a relatively fast pace‎. ‎We use ‎the scenario of software testing as a way to motivate and discuss our‎ ‎development.

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Subject: 60: Probability theory and stochastic processes
Received: 2011/08/26 | Accepted: 2015/09/12

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