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Random Stress-Dependent Strength Models Through Bivariate Exponential Conditionals Distributions

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Advances in Distribution Theory, Order Statistics, and Inference

Part of the book series: Statistics for Industry and Technology ((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.

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© 2006 Birkhäuser Boston

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SenGupta, A. (2006). Random Stress-Dependent Strength Models Through Bivariate Exponential Conditionals Distributions. In: Balakrishnan, N., Sarabia, J.M., Castillo, E. (eds) Advances in Distribution Theory, Order Statistics, and Inference. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4487-3_21

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