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A Regression Test for Exponentiality: Censored and Complete Samples
Carlos W. Brain and Samuel S. Shapiro
Vol. 25, No. 1 (Feb., 1983), pp. 69-76
Published by: Taylor & Francis, Ltd. on behalf of American Statistical Association and American Society for Quality
Stable URL: http://www.jstor.org/stable/1267728
Page Count: 8
You can always find the topics here!Topics: Censorship, Statistics, Statistical variance, Mathematical monotonicity, Simulations, Degrees of freedom, Fall lines, Applied statistics, Modeling, Null hypothesis
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Two new tests for the two-parameter exponential distribution are presented. The test statistics can be used with doubly censored samples, are easy to compute, need no special constants, and have high power compared with several competing tests. The first test statistic is sensitive to monotone hazard functions, and its percentage points can be closely approximated by the standard normal distribution. The second test statistic is sensitive to nonmonotone hazard functions. The chi-squared (2 degrees of freedom) distribution can be used as an approximation to the distribution of this statistic for moderate and large sample sizes. Monte Carlo power estimates and an example are given.
Technometrics © 1983 American Statistical Association