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Random Stress-Dependent Strength Models Through Bivariate Exponential Conditionals Distributions

  • Ashis SenGupta
Chapter
Part of the Statistics for Industry and Technology book series (SIT)

Abstract

The bivariate exponential conditionals (BEC) distribution here is proposed as a probability model for accelerated life testing. For the conditional experiments, the exponentiality of its conditionals, nonpositivity of its correlation, and nonlinearity of its regressions along with its amenability to development of elegant statistical inference procedures, provide sufficient motivation. It is also shown that this model enhances derivation and statistical inference for unconditional reliability when random stress is also envisaged in the experiments, as in many real-life scenarios.

Keywords and phrases

Accelerated life testing bivariate exponential conditionals distribution conditional and unconditional reliability negatively likelihood ratio dependent density 

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Copyright information

© Birkhäuser Boston 2006

Authors and Affiliations

  • Ashis SenGupta
    • 1
    • 2
  1. 1.Indian Statistical InstituteKolkataIndia
  2. 2.University of CaliforniaRiversideUSA

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