Fixed-width confidence intervals for contrasts in the means
| ISSN: |
1572-9052
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| Keywords: |
Confidence intervals ; contrasts in the means ; fixed-width ; multi-stage estimation
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Mathematics
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| Notes: |
Abstract The sequential procedure developed by Bhargava and Srivastava (1973, J. Roy. Statist. Soc. Ser. B, 35, 147–152) to construct fixed-width confidence intervals for contrasts in the means is further analyzed. Second-order approximations for the first two moments of the stopping time and the coverage probability associated with the sequential procedure, are obtained. A lower bound for the number of “additional” observations after stopping is derived, which ensures the “mxact” probability of coverage. Moreover, two-stage, three-stage and “modified” sequential procedures are proposed for the same estimation problem. Relative advantages and disadvantages of these sampling schemes are discussed and their properties are studied.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798296426970611715 |
|---|---|
| autor | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. |
| autorsonst | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. |
| book_url | http://dx.doi.org/10.1007/BF00048678 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLM206680279 |
| issn | 1572-9052 |
| journal_name | Annals of the Institute of Statistical Mathematics |
| materialart | 1 |
| notes | Abstract The sequential procedure developed by Bhargava and Srivastava (1973, J. Roy. Statist. Soc. Ser. B, 35, 147–152) to construct fixed-width confidence intervals for contrasts in the means is further analyzed. Second-order approximations for the first two moments of the stopping time and the coverage probability associated with the sequential procedure, are obtained. A lower bound for the number of “additional” observations after stopping is derived, which ensures the “mxact” probability of coverage. Moreover, two-stage, three-stage and “modified” sequential procedures are proposed for the same estimation problem. Relative advantages and disadvantages of these sampling schemes are discussed and their properties are studied. |
| package_name | Springer |
| publikationsjahr_anzeige | 1992 |
| publikationsjahr_facette | 1992 |
| publikationsjahr_intervall | 8009:1990-1994 |
| publikationsjahr_sort | 1992 |
| publisher | Springer |
| reference | 44 (1992), S. 157-167 |
| schlagwort | Confidence intervals contrasts in the means fixed-width multi-stage estimation |
| search_space | articles |
| shingle_author_1 | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. |
| shingle_author_2 | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. |
| shingle_author_3 | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. |
| shingle_author_4 | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. |
| shingle_catch_all_1 | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. Fixed-width confidence intervals for contrasts in the means Confidence intervals contrasts in the means fixed-width multi-stage estimation Confidence intervals contrasts in the means fixed-width multi-stage estimation Abstract The sequential procedure developed by Bhargava and Srivastava (1973, J. Roy. Statist. Soc. Ser. B, 35, 147–152) to construct fixed-width confidence intervals for contrasts in the means is further analyzed. Second-order approximations for the first two moments of the stopping time and the coverage probability associated with the sequential procedure, are obtained. A lower bound for the number of “additional” observations after stopping is derived, which ensures the “mxact” probability of coverage. Moreover, two-stage, three-stage and “modified” sequential procedures are proposed for the same estimation problem. Relative advantages and disadvantages of these sampling schemes are discussed and their properties are studied. 1572-9052 15729052 Springer |
| shingle_catch_all_2 | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. Fixed-width confidence intervals for contrasts in the means Confidence intervals contrasts in the means fixed-width multi-stage estimation Confidence intervals contrasts in the means fixed-width multi-stage estimation Abstract The sequential procedure developed by Bhargava and Srivastava (1973, J. Roy. Statist. Soc. Ser. B, 35, 147–152) to construct fixed-width confidence intervals for contrasts in the means is further analyzed. Second-order approximations for the first two moments of the stopping time and the coverage probability associated with the sequential procedure, are obtained. A lower bound for the number of “additional” observations after stopping is derived, which ensures the “mxact” probability of coverage. Moreover, two-stage, three-stage and “modified” sequential procedures are proposed for the same estimation problem. Relative advantages and disadvantages of these sampling schemes are discussed and their properties are studied. 1572-9052 15729052 Springer |
| shingle_catch_all_3 | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. Fixed-width confidence intervals for contrasts in the means Confidence intervals contrasts in the means fixed-width multi-stage estimation Confidence intervals contrasts in the means fixed-width multi-stage estimation Abstract The sequential procedure developed by Bhargava and Srivastava (1973, J. Roy. Statist. Soc. Ser. B, 35, 147–152) to construct fixed-width confidence intervals for contrasts in the means is further analyzed. Second-order approximations for the first two moments of the stopping time and the coverage probability associated with the sequential procedure, are obtained. A lower bound for the number of “additional” observations after stopping is derived, which ensures the “mxact” probability of coverage. Moreover, two-stage, three-stage and “modified” sequential procedures are proposed for the same estimation problem. Relative advantages and disadvantages of these sampling schemes are discussed and their properties are studied. 1572-9052 15729052 Springer |
| shingle_catch_all_4 | Chaturvedi, Ajit Shukla, N. D. Shukla, Pramod S. Fixed-width confidence intervals for contrasts in the means Confidence intervals contrasts in the means fixed-width multi-stage estimation Confidence intervals contrasts in the means fixed-width multi-stage estimation Abstract The sequential procedure developed by Bhargava and Srivastava (1973, J. Roy. Statist. Soc. Ser. B, 35, 147–152) to construct fixed-width confidence intervals for contrasts in the means is further analyzed. Second-order approximations for the first two moments of the stopping time and the coverage probability associated with the sequential procedure, are obtained. A lower bound for the number of “additional” observations after stopping is derived, which ensures the “mxact” probability of coverage. Moreover, two-stage, three-stage and “modified” sequential procedures are proposed for the same estimation problem. Relative advantages and disadvantages of these sampling schemes are discussed and their properties are studied. 1572-9052 15729052 Springer |
| shingle_title_1 | Fixed-width confidence intervals for contrasts in the means |
| shingle_title_2 | Fixed-width confidence intervals for contrasts in the means |
| shingle_title_3 | Fixed-width confidence intervals for contrasts in the means |
| shingle_title_4 | Fixed-width confidence intervals for contrasts in the means |
| sigel_instance_filter | dkfz geomar wilbert ipn albert fhp |
| source_archive | Springer Online Journal Archives 1860-2000 |
| timestamp | 2024-05-06T09:51:53.742Z |
| titel | Fixed-width confidence intervals for contrasts in the means |
| titel_suche | Fixed-width confidence intervals for contrasts in the means |
| topic | SA-SP |
| uid | nat_lic_papers_NLM206680279 |