However, all genotypes produced leather within the acceptable variable percentage elongation range of 40 80%, which will result in good elasticity to the commodities produced from these leathers.
Whilst differences between patients are acceptable, variable responses to the same insulin dose within the same patient can increase the risk of hypoglycaemia and hyperglycaemia.
In this paper, we combine the concept of conditioning on a σ-algebra with the concept of acceptability (in fact, wide acceptability) and define conditionally acceptable random variables.
The following example constructed by Wang et al. [10] can illustrate that widely acceptable random variables properly include acceptable random variables.
The class of acceptable random variables includes in a trivial way collections of independent random variables.
In this paper, we define the class of conditionally acceptable random variables as a generalization of the class of acceptable random variables studied previously by Giuliano Antonini et al. [1], Shen et al. [3] and Sung et al. [4], among others.
The concept of widely acceptable random variables follows naturally from the concept of wide dependence of random variables introduced by Wang et al. [7].
The Bernstein-type inequality for acceptable random variables generalizes and improves the corresponding results presented by Yang for NA random variables and Wang et al. for NOD random variables.
It is easy to see that the family of acceptable random variables is initiated on the basis of the properties of negatively dependent random variables, and then is also one kind of families of negatively dependent random variables.
