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A study of different ageing classes via total time on test transform and Lorenz curves

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  • Rafael Pérez‐Ocón
  • M. Luz Gámiz‐Pérez
  • J. Eloy Ruíz‐Castro

Abstract

A device subject to shocks occurring randomly according to a general counting process and failing when the cumulative damage exceeds a fixed threshold is considered. Sufficient conditions for the lifetime of this device belonging to the HNBUE class are given and as a consequence a procedure to obtain an HNBUE sample is performed. A computational program is implemented to obtain an HNBUE sample. Moreover, another computational program has been implemented to check whether these values belong to a smaller class than HNBUE by means of known graphic procedures, namely Lorenz and TTT curves. © 1998 John Wiley & Sons, Ltd.

Suggested Citation

  • Rafael Pérez‐Ocón & M. Luz Gámiz‐Pérez & J. Eloy Ruíz‐Castro, 1997. "A study of different ageing classes via total time on test transform and Lorenz curves," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 13(3‐4), pages 241-248, September.
    • Handle: RePEc:wly:apsmda:v:13:y:1997:i:3-4:p:241-248
    DOI: 10.1002/(SICI)1099-0747(199709/12)13:3/43.0.CO;2-D
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