Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
The Sampling Distribution of Natural Logarithm of Standard Deviation From a Normal Universe. |
| Συγγραφείς: |
Maghsoodloo, Saeed1 (AUTHOR) maghsood@eng.auburn.edu, Silva, Daniel F.1 (AUTHOR) |
| Πηγή: |
Quality & Reliability Engineering International. Mar2026, Vol. 42 Issue 2, p767-773. 7p. |
| Θεματικοί όροι: |
*Standard deviations, *Kurtosis, *Statistical sampling, *Logarithms, *Gaussian distribution, *Deviation (Statistics), *Moments method (Statistics) |
| Περίληψη: |
In this article we first derive the sampling distribution of y = loge(S) where the variate S represents the standard deviation of a sample of size n ≥ 2 from an underlying normal universe. We then use the density of y = Ln(S) to tabulate the first four moments of loge(S). We will determine if there is sample size n beyond which both the skewness and kurtosis of loge(S) are within 0.20 of normal zero so that the corresponding normal approximation may be adequate. The quantiles of y will be obtained in a sequel article, and they will be used to assess the normal approximation; the quality control aspects of loge(S) will also be discussed in a future article. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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