Many of the phenomena observed in biological, physical and other
natural sciences follow normal distribution. In the past few years,
the primary interest was the inference concerning mean and variance
of the observations, especially those which were related to the
biological measurements. In such experimental study the past data
provides information on the coefficient of variation (c.v.). When
the data is analyzed for the final trials, past information on the
variability in the yield can be made use of, for the estimation of
the mean. The c.v. is a stable measure of dispersion and thus does
not change quite rapidly over the years or between the locations.
The focus of this book is the inference concerning normal mean with
known c.v. The performance of the estimators proposed in the
literature are extensively studied and new tests are proposed for
the mean. The performances of the tests are studied through
simulations and through higher order asymptotics by deriving
Edgeworth expansion for the null distribution of the test
statistics.
General
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