The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation

Author

Houston, Louis M.

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-05-26

Country of Publication

Egypt

No. of Pages

4

Main Subjects

Mathematics

Abstract EN

Using two measurements, we produce an estimate of the mean and the sample standard deviation.

We construct a confidence interval with these parameters and compute the probability of the confidence interval by using the cumulative distribution function and averaging over the parameters.

The probability is in the form of an integral that we compare to a computer simulation.

American Psychological Association (APA)

Houston, Louis M.. 2013. The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-448169

Modern Language Association (MLA)

Houston, Louis M.. The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation. Journal of Applied Mathematics No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-448169

American Medical Association (AMA)

Houston, Louis M.. The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-448169

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-448169