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Tests of hypotheses for reliability functions in two‐parameter exponential models
Author(s) -
Ranganathan J.,
Kale B. K.
Publication year - 1979
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315117
Subject(s) - exponential function , exponential distribution , reliability (semiconductor) , statistic , mathematics , test statistic , statistics , invariant (physics) , statistical hypothesis testing , mathematical analysis , physics , power (physics) , quantum mechanics , mathematical physics
Abstract This paper derives a test procedure for testing hypotheses about the reliability function of the two‐parameter exponential model. The exact distribution of the test statistic is obtained and it is shown that the test is UMP invariant. Applications to problems in quality control are also considered.