The asymptotic relative efficiency of the mean deviation with respect to the standard deviation is 88% at the normal distribution. In his seminal 1960 paper A survey of sampling from contaminated distributions, J. W. Tukey points out that, if the normal distribution is contaminated by a small -fraction of a normal distribution with three times the standard deviation, the mean deviation is more ...

A Steiner system S(t, k, V) is a pair (S, /3), where S is a v-set and p is a collection of k-subsets of S called hocks, such that a t-subset of S occurs in exactly one block of p. In particular, an S(2, 3, V) is called a Steiner triple system of order v (briefly STS(v)). It is well known that there is an STS(v) if and only if v E 1 or 3 (mod 6). Two STSs, (S, /3,) and (S, &), are said to be dis...

In this paper we define pairwise-$\alpha$-paracompact subsets as a generalisation of $\alpha$-paracompact in topological spaces and study their properties its relations with other bitopological spaces. Several theorems are obtained concerning sets. We introduced the definition $p$-paracompact bitoplogical

For a half-translation surface ( S , q ) $(S,q)$ the associated saddle connection complex A $\mathcal {A}(S,q)$ is simplicial where vertices are connections on with simplices spanned by sets of pairwise disjoint connections. This can be naturally regarded as an induced subcomplex arc complex. We prove that any isomorphism ? : ? ? $\phi \colon \mathcal {A}(S,q) \rightarrow {A}(S^{\prime },q^{\pr...