On Fri, 1 Feb 2013, Ross A. Finlayson wrote: > On Feb 1, 8:37 pm, William Elliot wrote:
> > > EF as CDF, the natural integers uniformly
Why did all of you indentations get changed into a' a' which makes it hard to review; thus clipped.
> > What does that last line all mean?
> The notion of selecting among discrete items at uniform random is > among the most reasonable of assumptions of blind selection among > items, that each is as likely as the other. In the finite case, this > is well known as fair coin tosses or dice rolls, in Bernoulli and to > Poisson. In the infinite, the notion of selecting among the natural > integers at uniform random would have particular features of the > probability mass function describing the distribution of the natural > integers at uniform random. The function from natural integers to > points in a line called EF has particular features that would make it > at once a cumulative distribution function, over its support space of > the natural integers, and in its constant monotonicity, over constant > differences, that of a uniform distribution.
What do you mean _the_ function from N to R? There are uncountably many. Do you have a particular function in mind for EF?
What is the formula for the accumulative distribution function? I take it that's what you mean by the cryptic CDF.