Skip to main content

Mean Residual Life

  • Reference work entry
  • First Online:
Book cover International Encyclopedia of Statistical Science

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 1,100.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 549.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References and Further Reading

  • Anis MZ, Basu SK, Mitra M (2004) Change point detection in MRL function. Indian Soc Probab Stat 8:57–71

    Google Scholar 

  • Asadi M, Ebrahimi N (2000) Residual entropy and its characterizations in terms of hazard function and mean residual life function. Stat Probab Lett 49(3):263–269

    MATH  MathSciNet  Google Scholar 

  • Berger RL, Boos DD, Guess FM (1988) Tests and confidence sets for comparing two mean residual life functions. Biometrics 44(1):103–115

    MATH  MathSciNet  Google Scholar 

  • Bhattacharjee MC (1982) The class of mean residual lives and some consequences. J Algebra Discr 3(1):56–65

    MATH  MathSciNet  Google Scholar 

  • Bradley DM, Gupta RC (2003) Limiting behaviour of the mean residual life. Ann I Stat Math 55(1):217–226

    MATH  MathSciNet  Google Scholar 

  • Chiang CL (1968) Introduction to stochastic processes in biostatistics. Wiley, New York

    MATH  Google Scholar 

  • Deevey ES (1947) Life tables for natural populations of animals. Q Rev Biol 22:283–314

    Google Scholar 

  • Guess FM, Hollander M, Proschan F (1986) Testing exponentiality versus a trend change in mean residual life. Ann Stat 14(4):1388–1398

    MATH  MathSciNet  Google Scholar 

  • Guess FM, Park DH (1988) Modeling discrete bathtub and upside-down bathtub mean residual-life functions. IEEE T Reliab 37(5):545–549

    MATH  Google Scholar 

  • Guess FM, Proschan F (1988) MRL: theory and applications. In: Krishnaiah PR, Rao CR (eds) Handbook of statistics 7: quality control and reliability. North Holland, Amsterdam, pp 215–224

    Google Scholar 

  • Guess FM, Steele JC, Young TM, León RV (2006) Applying novel mean residual life confidence intervals. Int J Reliab Appl 7(2):177–186

    Google Scholar 

  • Hall WJ, Wellner JA (1981) Mean residual life. In: Csörgö ZM et al (eds) Statistics and related topics. North Holland, Amsterdan, pp 169–184

    Google Scholar 

  • Heckert NA, Filliben JJ (2003) CME plot. In: NIST handbook 148: DATAPLOT reference manual, volume I: commands, National Institute of Standards and Technology Handbook Series, pp 2-45–2-47. For more details see link: http://www.itl.nist.gov/div898/software/dataplot/document.htm

  • Hollander M, Proschan F (1984) Nonparametric concepts and methods in reliability. In: Krishnaiah PR, Sen PK (eds) Handbook of statistics 4: nonparametric methods. North Holland, Amsterdam, pp 613–655

    Google Scholar 

  • Hollander M, Wolfe D (1999) Nonparametric statistical methods, 2nd edn. Wiley, New York

    MATH  Google Scholar 

  • Navarro J, Hernandez PJ (2008) Mean residual life functions of finite mixtures, order statistics and coherent systems. Metrika 67(3):277–298

    MathSciNet  Google Scholar 

  • Oakes D, Dasu T (1990) A note on residual life. Biometrika 77(2):409–410

    MATH  MathSciNet  Google Scholar 

  • Pathak R, Joshi S, Mishra DK (2009) Distributive computing for reliability analysis of MEMS devices using MATLAB. In: Proceedings of the international conference on advances in computing, communication and control (Mumbai, India, January 23–24, 2009). ACM, New York, pp 246–250

    Google Scholar 

  • Peiravi A, Dehqanmongabadi N (2008) Accelerated life testing based on proportional mean residual life model for multiple failure modes. J Appl Sci 8(22):4166–4172

    Google Scholar 

  • Shaffer LB, Young TM, Guess FM, Bensmail H, León RV (2008) Using R software for reliability data analysis. Int J Reliab Appl 9(1):53–70

    Google Scholar 

  • Steele JC (2006) “Function domain sets” confidence intervals for the mean residual life function with applications in production of medium density fiberboard. Thesis at University of Tennessee, Knoxville, TN. Available at link: http://etd.utk.edu/2006/SteeleJonathanCody.pdf

    Google Scholar 

  • Zhao WB, Elsayed EA (2005) Modelling accelerated life testing based on mean residual life. Int J Syst Sci 36(11):689–696

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this entry

Cite this entry

Steele, J.C., Guess, F.M., Young, T.M., Edwards, D.J. (2011). Mean Residual Life. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_35

Download citation

Publish with us

Policies and ethics