The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation
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 probabili...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/131424 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568197968035840 |
|---|---|
| author | Louis M. Houston |
| author_facet | Louis M. Houston |
| author_sort | Louis M. Houston |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-112e5b02e1b04c8d8d6ed7ee113f51ff |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-112e5b02e1b04c8d8d6ed7ee113f51ff2025-02-03T00:59:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/131424131424The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard DeviationLouis M. Houston0The Louisiana Accelerator Center, The University of Louisiana at Lafayette, LA 70504-4210, USAUsing 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.http://dx.doi.org/10.1155/2013/131424 |
| spellingShingle | Louis M. Houston The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation Journal of Applied Mathematics |
| title | The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation |
| title_full | The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation |
| title_fullStr | The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation |
| title_full_unstemmed | The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation |
| title_short | The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation |
| title_sort | probability of a confidence interval based on minimal estimates of the mean and the standard deviation |
| url | http://dx.doi.org/10.1155/2013/131424 |
| work_keys_str_mv | AT louismhouston theprobabilityofaconfidenceintervalbasedonminimalestimatesofthemeanandthestandarddeviation AT louismhouston probabilityofaconfidenceintervalbasedonminimalestimatesofthemeanandthestandarddeviation |