Statistical properties of intercalibration techniques that use empirical distribution functions

David S. Crosby; Elena Randou

doi:10.1117/12.254106

18 October 1996 Statistical properties of intercalibration techniques that use empirical distribution functions

David S. Crosby, Elena Randou

Proceedings Volume 2812, GOES-8 and Beyond; (1996) https://doi.org/10.1117/12.254106
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

Techniques which use empirical distribution functions have been used successfully to intercalibrate detectors on the same instrument or channels on different instruments. In this paper the procedure is developed as a statistical technique for estimating a function. Since it is a statistical procedure, it is possible to use classical statistical techniques to evaluate the accuracy of the results. Confidence regions can be constructed for the estimated parameters. Given a required degree of accuracy it is possible to estimate the required sample sizes. Using hypotheses testing techniques questions about possible changes in the inter-calibration functions can be answered. The theory, which uses quantiles from the distributions of random variable, is outlined. The large-sample properties of the estimators of these quantiles are presented. The theory requires that the data be continuous. However, it is discrete. Preliminary simulation results indicate that the theory for continuous data can be applied to the discrete data with little loss of accuracy.

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David S. Crosby and Elena Randou "Statistical properties of intercalibration techniques that use empirical distribution functions", Proc. SPIE 2812, GOES-8 and Beyond, (18 October 1996); https://doi.org/10.1117/12.254106

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Statistical analysis

Sensors

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Microwave radiation

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