In this paper, we provide side-to-side information for the following two widely used test statistics in this area: (1) the well-known Laplace test (called L test), and (2) the most powerful test for the shape parameter in the Poisson process with Weibull intensity (called Z test). Since the data often occur naturally in a sequential fashion, it will be useful to have sequential procedures allowing for repeated significance tests to the accumulating data. It would be advantageous to track the reliability growth trend of the system, by means of the failure data collected during development testing, so that the program could be revised, if necessary, in order to attain the system reliability objectives. A development program might consist of testing to identify deficiencies, a redesign effort to correct the deficiencies, and further testing to verify these corrections and identify new problem areas. Suppose, for example, a repairable system is under development.
It is also desirable that in some situations, interim analyses are undertaken periodically. Most of the work on the development of the procedures for the nonhomoge- neous Poisson processes are based on the fixed sample size tests.
#SEQUENTIAL TESTING OF POISSON PROCESS SERIES#
Methods for analysis of trends for the series of events have been extensively studied by many authors, both from a parametric and a nonparametric point of view.
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