Skip to main content Accessibility help
×
Home
Hostname: page-component-65dc7cd545-rzhp5 Total loading time: 0.153 Render date: 2021-07-24T09:10:47.495Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": true, "newCiteModal": false, "newCitedByModal": true, "newEcommerce": true, "newUsageEvents": true }

ON DYNAMIC PROPORTIONAL MEAN RESIDUAL LIFE MODEL

Published online by Cambridge University Press:  14 August 2013

Asok K. Nanda
Affiliation:
Department of Mathematics and Statistics, IISER Kolkata, Mohanpur Campus, Mohanpur 741 252, India E-mails: asoknanda@yahoo.com; asok@iiserkol.ac.in; suchismitadas1in@gmail.com
Suchismita Das
Affiliation:
Department of Mathematics and Statistics, IISER Kolkata, Mohanpur Campus, Mohanpur 741 252, India E-mails: asoknanda@yahoo.com; asok@iiserkol.ac.in; suchismitadas1in@gmail.com
N. Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1, Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia E-mail: bala@univmail.cis.mcmaster.ca

Abstract

Recently, proportional mean residual life model has received a lot of attention after the importance of the model was discussed by Zahedi [17]. In this paper, we define dynamic proportional mean residual life model and study its properties for different aging classes. The closure of this model under different stochastic orders is also discussed. Many examples are presented to illustrate different properties of the model.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2013 

Access options

Get access to the full version of this content by using one of the access options below.

References

1.Bryson, M.C. & Siddiqui, M.M. (1969). Some criteria for aging. Journal of the American Statistical Association 64: 14721483.CrossRefGoogle Scholar
2.Cox, D.R. (1972). Regression models and life tables (with discussions). Journal of the Royal Statistical Society, Series B 34: 187220.Google Scholar
3.Ghai, G.L. & Mi, J. (1999). Mean residual life and its association with failure rate. IEEE Transactions on Reliability 48: 262266.CrossRefGoogle Scholar
4.Gupta, R.C., Gupta, R.D., & Gupta, P.L. (1998). Modeling failure time data by Lehmann alternatives. Communications in Statistics–Theory & Methods 27: 887904.CrossRefGoogle Scholar
5.Gupta, R.C. & Kirmani, S.N.U.A. (1998). On the Proportional mean residual life model and its implications. Statistics 32: 175187.CrossRefGoogle Scholar
6.Gupta, R.C. & Wu, H. (2001). Analyzing survival data by proportional reversed hazard model. International Journal of Reliability and Applications 2: 126.Google Scholar
7.Lam, C.V.T. (1991). Proportional mean residual life. Technical Report No. 91–2.Google Scholar
8.Maguluri, G. & Zhang, C.H. (1994). Estimation in the mean residual life regression model. Journal of the Royal Statistical Society, Series B 56: 477489.Google Scholar
9.Mi, J. (1995). Bathtub failure rate and upside-down bathtub mean residual life. IEEE Transactions on Reliability 44: 388391.Google Scholar
10.Nanda, A.K., Bhattacharjee, S., & Alam, S.S. (2006). Properties of proportional mean residual life model. Statistics & Probability Letters 76: 880890.CrossRefGoogle Scholar
11.Nanda, A.K., Bhattacharjee, S., & Alam, S.S. (2007). Properties of aging intensity function. Statistics & Probability Letters 77: 365373.CrossRefGoogle Scholar
12.Nanda, A.K., Bhattacharjee, S., & Balakrishnan, N. (2010). Mean residual life function, associated orderings and properties. IEEE Transactions on Reliability 59: 5565.CrossRefGoogle Scholar
13.Nanda, A.K. & Das, S. (2011). On dynamic proportional hazard rate and reversed hazard rate models. Journal of Statistical Planning and Inference 141: 21082119.CrossRefGoogle Scholar
14.Oakes, D. (2012). Another look at the proportional mean residual life model. Joint Statistical Meeting 2012 held during July 28–August 3, 2012, San Diego, CA.Google Scholar
15.Oakes, D. & Dasu, T. (1990). A note on residual life. Biometrika 77: 409410.CrossRefGoogle Scholar
16.Shaked, M. & Shanthikumar, J.G. (2007). Stochastic orders. Springer, New York.CrossRefGoogle Scholar
17.Zahedi, H. (1991). Proportional mean remaining life model. Journal of Statistical Planning and Inference 29: 221228.CrossRefGoogle Scholar
3
Cited by

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

ON DYNAMIC PROPORTIONAL MEAN RESIDUAL LIFE MODEL
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

ON DYNAMIC PROPORTIONAL MEAN RESIDUAL LIFE MODEL
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

ON DYNAMIC PROPORTIONAL MEAN RESIDUAL LIFE MODEL
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *