Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings
Exponentiated distributions are considered. Two measures of reliability are considered, R(t)=P(X>t) and P=P(X>Y). Point estimation and testing procedures are developed for different parametric functions under Type II and Type I censoring. Uniformly minimum variance unbiased estimators (UMVUES)...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Bologna
2017-04-01
|
| Series: | Statistica |
| Subjects: | |
| Online Access: | https://rivista-statistica.unibo.it/article/view/6347 |
| _version_ | 1811204553541943296 |
|---|---|
| author | Ajit Chaturvedi Shantanu Vyas |
| author_facet | Ajit Chaturvedi Shantanu Vyas |
| author_sort | Ajit Chaturvedi |
| collection | DOAJ |
| description | Exponentiated distributions are considered. Two measures of reliability are considered, R(t)=P(X>t) and P=P(X>Y). Point estimation and testing procedures are developed for different parametric functions under Type II and Type I censoring. Uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. A new technique of obtaining these estimators is introduced. |
| first_indexed | 2024-04-12T03:15:01Z |
| format | Article |
| id | doaj.art-1ef33fa27c7941fa97f1a1340bd303f2 |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-04-12T03:15:01Z |
| publishDate | 2017-04-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-1ef33fa27c7941fa97f1a1340bd303f22022-12-22T03:50:10ZengUniversity of BolognaStatistica0390-590X1973-22012017-04-01771133110.6092/issn.1973-2201/63476169Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censoringsAjit Chaturvedi0Shantanu Vyas1University of Delhi, DelhiUniversity of Delhi, DelhiExponentiated distributions are considered. Two measures of reliability are considered, R(t)=P(X>t) and P=P(X>Y). Point estimation and testing procedures are developed for different parametric functions under Type II and Type I censoring. Uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. A new technique of obtaining these estimators is introduced.https://rivista-statistica.unibo.it/article/view/6347Exponentiated distributionsPoint estimationTesting proceduresType I and Type II censoring |
| spellingShingle | Ajit Chaturvedi Shantanu Vyas Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings Statistica Exponentiated distributions Point estimation Testing procedures Type I and Type II censoring |
| title | Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings |
| title_full | Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings |
| title_fullStr | Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings |
| title_full_unstemmed | Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings |
| title_short | Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings |
| title_sort | estimation and testing procedures for the reliability functions of exponentiated distributions under censorings |
| topic | Exponentiated distributions Point estimation Testing procedures Type I and Type II censoring |
| url | https://rivista-statistica.unibo.it/article/view/6347 |
| work_keys_str_mv | AT ajitchaturvedi estimationandtestingproceduresforthereliabilityfunctionsofexponentiateddistributionsundercensorings AT shantanuvyas estimationandtestingproceduresforthereliabilityfunctionsofexponentiateddistributionsundercensorings |