Order-preserving functions: applications to majorization and order statistics-Pacific Journal of Mat

  title={Order-preserving functions: applications to majorization and order statistics-Pacific Journal of Mat},
  author={A. W. Marshall and David W. Walkup and Roger J.-B. Wets},
Abstract : It has been common in the theory of reliability and its practice to assume that the life of a device is exponentially distributed (i.e. it has constant hazard or failure rate) or intuitively, that the device does not wear in service. This assumption is mathematically convenient, but it should not be employed without verification of its tenability from actual data. Natural alternatives to constant hazard rate are increasing hazard rate and increasing hazard rate average, which… 

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