### ASA 125th Meeting Ottawa 1993 May

## 3aEA12. How much random data is enough?

**John C. Burgess
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*Dept. of Mech. Eng., Univ. of Hawaii, 2540 Dole St., Honolulu, HI 96822
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There is a relationship between the amount of data taken from a random
signal and its statistical reliability. The usual assumptions are that the
signal is stationary, white, and Gaussian. While procedures for analysis of a
finite amount of random data after acquisition are well known, little
information appears to be available about planning before data acquisition.
With the usual assumptions, an upper limit can be found for the amount of
random data required to meet a specified statistical reliability. This can be
done for both time and frequency domain applications.