Parametric Regression Models Using Reversed Hazard Rates
Proportional hazard regression models are widely used in survival analysis to understand and exploit the relationship between survival time and covariates. For left censored survival times, reversed hazard rate functions are more appropriate. In this paper, we develop a parametric proportional hazar...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2014/645719 |
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| _version_ | 1832561435993964544 |
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| author | Asokan Mulayath Variyath P. G. Sankaran |
| author_facet | Asokan Mulayath Variyath P. G. Sankaran |
| author_sort | Asokan Mulayath Variyath |
| collection | DOAJ |
| description | Proportional hazard regression models are widely used in survival analysis to understand and exploit the relationship between survival time and covariates. For left censored survival times, reversed hazard rate functions are more appropriate. In this paper, we develop a parametric proportional hazard rates model using an inverted Weibull distribution. The estimation and construction of confidence intervals for the parameters are discussed. We assess the performance of the proposed procedure based on a large number of Monte Carlo simulations. We illustrate the proposed method using a real case example. |
| format | Article |
| id | doaj-art-7604abfe438a44a485a58d99466c8414 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-7604abfe438a44a485a58d99466c84142025-02-03T01:25:03ZengWileyJournal of Probability and Statistics1687-952X1687-95382014-01-01201410.1155/2014/645719645719Parametric Regression Models Using Reversed Hazard RatesAsokan Mulayath Variyath0P. G. Sankaran1Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C 5S7, CanadaDepartment of Statistics, Cochin University of Science and Technology, Cochin, Kerala 682022, IndiaProportional hazard regression models are widely used in survival analysis to understand and exploit the relationship between survival time and covariates. For left censored survival times, reversed hazard rate functions are more appropriate. In this paper, we develop a parametric proportional hazard rates model using an inverted Weibull distribution. The estimation and construction of confidence intervals for the parameters are discussed. We assess the performance of the proposed procedure based on a large number of Monte Carlo simulations. We illustrate the proposed method using a real case example.http://dx.doi.org/10.1155/2014/645719 |
| spellingShingle | Asokan Mulayath Variyath P. G. Sankaran Parametric Regression Models Using Reversed Hazard Rates Journal of Probability and Statistics |
| title | Parametric Regression Models Using Reversed Hazard Rates |
| title_full | Parametric Regression Models Using Reversed Hazard Rates |
| title_fullStr | Parametric Regression Models Using Reversed Hazard Rates |
| title_full_unstemmed | Parametric Regression Models Using Reversed Hazard Rates |
| title_short | Parametric Regression Models Using Reversed Hazard Rates |
| title_sort | parametric regression models using reversed hazard rates |
| url | http://dx.doi.org/10.1155/2014/645719 |
| work_keys_str_mv | AT asokanmulayathvariyath parametricregressionmodelsusingreversedhazardrates AT pgsankaran parametricregressionmodelsusingreversedhazardrates |