class documentation

The Lidstone estimate for the probability distribution of the experiment used to generate a frequency distribution. The "Lidstone estimate" is parameterized by a real number gamma, which typically ranges from 0 to 1. The Lidstone estimate approximates the probability of a sample with count c from an experiment with N outcomes and B bins as c+gamma)/(N+B*gamma). This is equivalent to adding gamma to the count for each bin, and taking the maximum likelihood estimate of the resulting frequency distribution.

Method __init__ Use the Lidstone estimate to create a probability distribution for the experiment used to generate freqdist.
Method __repr__ Return a string representation of this ProbDist.
Method discount Return the ratio by which counts are discounted on average: c*/c
Method freqdist Return the frequency distribution that this probability distribution is based on.
Method max Return the sample with the greatest probability. If two or more samples have the same probability, return one of them; which sample is returned is undefined.
Method prob Return the probability for a given sample. Probabilities are always real numbers in the range [0, 1].
Method samples Return a list of all samples that have nonzero probabilities. Use prob to find the probability of each sample.
Constant SUM_TO_ONE True if the probabilities of the samples in this probability distribution will always sum to one.
Instance Variable _bins Undocumented
Instance Variable _divisor Undocumented
Instance Variable _freqdist Undocumented
Instance Variable _gamma Undocumented
Instance Variable _N Undocumented

Inherited from ProbDistI:

Method generate Return a randomly selected sample from this probability distribution. The probability of returning each sample samp is equal to self.prob(samp).
Method logprob Return the base 2 logarithm of the probability for a given sample.
def __init__(self, freqdist, gamma, bins=None): (source)

Use the Lidstone estimate to create a probability distribution for the experiment used to generate freqdist.

Parameters
freqdist:FreqDistThe frequency distribution that the probability estimates should be based on.
gamma:floatA real number used to parameterize the estimate. The Lidstone estimate is equivalent to adding gamma to the count for each bin, and taking the maximum likelihood estimate of the resulting frequency distribution.
bins:intThe number of sample values that can be generated by the experiment that is described by the probability distribution. This value must be correctly set for the probabilities of the sample values to sum to one. If bins is not specified, it defaults to freqdist.B().
def __repr__(self): (source)

Return a string representation of this ProbDist.

Returns
strUndocumented
def discount(self): (source)

Return the ratio by which counts are discounted on average: c*/c

Returns
floatUndocumented
def freqdist(self): (source)

Return the frequency distribution that this probability distribution is based on.

Returns
FreqDistUndocumented
def max(self): (source)

Return the sample with the greatest probability. If two or more samples have the same probability, return one of them; which sample is returned is undefined.

Returns
anyUndocumented
def prob(self, sample): (source)

Return the probability for a given sample. Probabilities are always real numbers in the range [0, 1].

Parameters
sample:anyThe sample whose probability should be returned.
Returns
floatUndocumented
def samples(self): (source)

Return a list of all samples that have nonzero probabilities. Use prob to find the probability of each sample.

Returns
listUndocumented
SUM_TO_ONE: bool = (source)

True if the probabilities of the samples in this probability distribution will always sum to one.

Value
False

Undocumented

_divisor: int = (source)

Undocumented

_freqdist = (source)

Undocumented

_gamma: int = (source)

Undocumented

Undocumented