Some parametric tests based on sample spacings

Assume that we have a random sample from an absolutely continuous distribution (univariate, or multivariate) with known functional form and some unknown parameters. In this paper, studied several parametric tests based on statistics are symmetric functions of m-step disjoint spacings. Asymptotic properties these been investigated under the simple null hypothesis sequence local alternatives converging to hypothesis. The asymptotic proposed also composite We observed similar as likelihood ratio test. Finite performances assessed numerically. A data analysis real is reported. provide alternative spacings (i.e. $$m=1$$ ), were earlier in literature. These situations where function may be unbounded, hence, do not exist.