  Assume that we have a random sample from an absolutely continuous
distribution (univariate or multivariate) with a known functional form and some
unknown parameters. In this paper, we have studied several parametric tests
symmetrically based on sample spacings. Asymptotic properties of these tests
have been investigated under the simple null hypothesis and the sequence of
local alternatives converging to the null hypothesis. The asymptotic properties
of the proposed tests have also been studied under composite null hypothesis.
It is observed that these tests have similar properties as the likelihood ratio
test. For assessment of finite sample performance of the proposed tests, we
have performed an extensive numerical study. The proposed tests can be used in
some situations where likelihood ratio tests do not exist due to unboundedness
of likelihood function.
