# mx.nd.random.pdf.negative.binomial¶

## Description¶

Computes the value of the PDF of samples of negative binomial distributions with parameters k (failure limit) and p (failure probability).

k and p must have the same shape, which must match the leftmost subshape of sample. That is, sample can have the same shape as k and p, in which case the output contains one density per distribution, or sample can be a tensor of tensors with that shape, in which case the output is a tensor of densities such that the densities at index i in the output are given by the samples at index i in sample parameterized by the values of k and p at index i.

Example:

random_pdf_negative_binomial(sample=[[1,2,3,4]], k=[1], p=a[0.5]) =
[[0.25, 0.125, 0.0625, 0.03125]]

# Note that k may be real-valued
sample = [[1,2,3,4],
[1,2,3,4]]
random_pdf_negative_binomial(sample=sample, k=[1, 1.5], p=[0.5, 0.5]) =
[[0.25,       0.125,      0.0625,     0.03125   ],
[0.26516506, 0.16572815, 0.09667476, 0.05437956]]


## Arguments¶

Argument

Description

sample

NDArray-or-Symbol.

Samples from the distributions.

k

NDArray-or-Symbol.

Limits of unsuccessful experiments.

is.log

boolean, optional, default=0.

If set, compute the density of the log-probability instead of the probability.

p

NDArray-or-Symbol.

Failure probabilities in each experiment.

## Value¶

out The result mx.ndarray