Likelihood-based statistical estimation from quantized data

Date
2005-01-01
Authors
Vardeman, Stephen
Lee, Chiang-Sheng
Vardeman, Stephen
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Abstract

Most standard statistical methods treat numerical data as if they were real (infinite-number-of-decimal-places) observations. The issue of quantization or digital resolution can render such methods inappropriate and misleading. This article discusses some of the difficulties of interpretation and corresponding difficulties of inference arising in even very simple measurement contexts, once the presence of quantization is admitted. It then argues (using the simple case of confidence interval estimation based on a quantized random sample from a normal distribution as a vehicle) for the use of statistical methods based on "rounded data likelihood functions" as an effective way of handling the matter.

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<p>This is a manuscript of an article published as Likelihood-based statistical estimation from quantized data. <em>IEEE Transactions on Instrumentation and Measurement</em>, 2005, Vol. 54, No. 1, pp. 409-414. With Chiang-Sheng Lee. Posted with permission.</p>
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