this generalization of equiprobability is known as the principle of transformation groups and leads to misuse of equiprobability as a model for incertitude...

concept in possibility theory that is a precursor to the notion of equiprobability in probability theory. It is used to distinguish what can occur in...

concept of equiprobability in dice games (note that the dice games would have discrete and not continuous uniform sample space). Equiprobability was mentioned...

information contained in one decimal digit (or dit), assuming a priori equiprobability of each possible value. It is named after Ralph Hartley. If base 2...

event can yield one of n equiprobable outcomes and another has one of m equiprobable outcomes then there are mn equiprobable outcomes of the joint event...

width. This avoids bins with low counts. A common case is to choose equiprobable bins, where the number of samples in each bin is expected to be approximately...

either birth order, i.e., BG or GB. Assuming again independence and equiprobability, we begin with a probability of ⁠1/4⁠ that Smith is the father of two...

has an upper bound, which is reached when the possible outcomes are equiprobable. The maximum entropy of n bits is n Sh. A further quantity that it is...

the volume of this region, i.e., that all accessible microstates are equiprobable over a long period of time. Liouville's theorem states that, for a Hamiltonian...

sampling frame. The most common form of systematic sampling is an equiprobability method. This applies in particular when the sampled units are individuals...

additional bit of key length, and if every possible value of the key is equiprobable; this translates into a doubling of the average brute-force key search...

and Wright noted, two important factors are prevalence (are the codes equiprobable or do their probabilities vary) and bias (are the marginal probabilities...

probabilities pi. In the special case that all possible outcomes are equiprobable (that is, p1 = ⋅⋅⋅ = pk), the weighted average is given by the standard...

favorable for the event, over the number of total outcomes possible in an equiprobable sample space: see Classical definition of probability. For example, if...

that it is maximized when all the messages in the message space are equiprobable p(x) = 1/n; i.e., most unpredictable, in which case H(X) = log n. The...

experimental outcomes. Mathematics portal Philosophy portal Contingency Equiprobability Fuzzy logic Heuristic (psychology) Strictly speaking, a probability...

begun with the concept of equipossibility and progressed from it to equiprobability. The principle of indifference can be given a deeper logical justification...

impartial. Exactly 50%. "God's existence and nonexistence are exactly equiprobable." Leaning towards atheism. Lower than 50% but not very low. "I do not...

of the model. When two competing models are a priori considered to be equiprobable, the ratio of their posterior probabilities corresponds to the Bayes...

distribution, since uncertainty is maximal when all possible events are equiprobable. For α or β approaching zero, the differential entropy approaches its...

total of four linear isomers (IL and ILS). This is distinct from HSV's equiprobable distribution, and the discriminatory mechanism is not known. A small...

impartial. Exactly 50%. "God's existence and non-existence are exactly equiprobable." Leaning towards atheism. Lower than 50% but not very low. "I do not...

_{i=1}^{n}p(x_{i}\mid C_{k}).} A class's prior may be calculated by assuming equiprobable classes, i.e., p ( C k ) = 1 K {\displaystyle p(C_{k})={\frac {1}{K}}}...

{\displaystyle Q} if Z = 1 {\displaystyle Z=1} , where Z {\displaystyle Z} is equiprobable. That is, we are choosing X {\displaystyle X} according to the probability...

differences found in the above equation is then quantized into roughly equiprobable and connected regions. For JPEG LS, the differences g1, g2, and g3 are...

purposes of information theory even uniformly spaced; they need only be equiprobable. The information gain of any observation X = k {\displaystyle X=k} is...

2 , . . . , H r {\displaystyle H_{1},H_{2},...,H_{r}} are initially equiprobable. Then, if we happen to see a black raven, the Bayes factor in favour...

(image processing) Epps effect Equating – test equating Equipossible Equiprobable Erdős–Rényi model Erlang distribution Ergodic theory Ergodicity Error...

content or self-information) will be obtained. If all the microstates are equiprobable (a microcanonical ensemble), the statistical thermodynamic entropy reduces...

and that various other patterns in the data should be also distributed equiprobably. The frequency test, was very basic: checking to make sure that there...