Equiprobability
(2007) the final step of the SPI calculation is to apply an equiprobability transformation to the [H(PRE)] values (Abramowitz & Stegun, 1965).
The drifters crossing the fairway had almost an equal probability of reaching either of the coasts, suggesting that the fairway was located close to the equiprobability line for the Gulf of Finland in terms of pollution propagation to its northern and southern coasts [27].
Examples of those include comparing against an equiprobability hypothesis with goodness of fit chi square tests or a 100% proportion in the KolmogorovSmirnov test (Moliner, Rateau, & Cohen-Scali, 2002).
Theoretically it should be random to ascertain equiprobability, but in practice most instruments will follow a systematic arrangement of points or at least use a resampling procedure to yield such a systematic arrangement.
Sure, I could have been more specific about the equiprobability characteristic of the sample space, but, reflecting on Dexter's responses, there seemed to be more going on (that I was missing), which was preventing us from moving forward.
We have thus [rho][f (k)] = 1/[SIGMA] (equiprobability) for the function f contained in [SIGMA], and [rho][f(k)] = 0 for the function outside [SIGMA] (that are functions which do not satisfy the requirements f(k) = 0 on the wires).
The first order solution is the equiprobability line, the probability of propagation of pollution from which to either of the coasts is equal [13].
With N = 40, a frequency of 27 (67.5%) is the minimum value that yields a significant departure from equiprobability [[chi square] (1) = 4.220, p = .040, w = .35].
He also asserts that the weak win conjecture is the equiprobability postulate in disguise and explains why the weak win conjecture is a special case of the solid-liquid-gas conjecture.
Something like the principle of insufficient reason would have to be accepted, whereby an observer should or will assume equiprobability across specified outcomes despite uncertainty on just that point.
It is true that, for most decision contexts involving maximal uncertainty, the maximin decision rule is irrational since statistical independence of circumstances counsels equiprobability of contingent personal circumstances.
(90) Given this "equiprobability postulate," (91) and given that my imagined choice--which Harsanyi envisages as a choice between large-scale systems (such as between capitalism and socialism) (92) rather than a preference between particular mundane options--requires me to consider what I am willing to risk, I will do what any "rational individual" would do and choose the "social system that would maximize [my] expected utility." (93) As a defense of Golden Rule reasoning, Harsanyi's argument is open to criticism primarily because of a second postulate that he advances, the similarity postulate, discussion of which is deferred until we turn to the problem of the imaginative leap.
However, none of the students' responses were considered statistical on this item, students based their reasoning on their cultural beliefs such as luck, everyday experiences and intuitive strategies such as equiprobability bias (Lecoutre, 1992).
testing, most researchers (see Palmer, 1986b) consider it important to demonstrate both equiprobability (i.e.