# scipy.special.pdtrc#

scipy.special.pdtrc(k, m, out=None) = <ufunc 'pdtrc'>#

Poisson survival function

Returns the sum of the terms from k+1 to infinity of the Poisson distribution: sum(exp(-m) * m**j / j!, j=k+1..inf) = gammainc( k+1, m). Arguments must both be non-negative doubles.

Parameters:
karray_like

Number of occurrences (nonnegative, real)

marray_like

Shape parameter (nonnegative, real)

outndarray, optional

Optional output array for the function results

Returns:
scalar or ndarray

Values of the Poisson survival function

`pdtr`

Poisson cumulative distribution function

`pdtrik`

inverse of `pdtr` with respect to k

`pdtri`

inverse of `pdtr` with respect to m

Examples

```>>> import numpy as np
>>> import scipy.special as sc
```

It is a survival function, so it decreases to 0 monotonically as k goes to infinity.

```>>> k = np.array([1, 10, 100, np.inf])
>>> sc.pdtrc(k, 1)
array([2.64241118e-001, 1.00477664e-008, 3.94147589e-161, 0.00000000e+000])
```

It can be expressed in terms of the lower incomplete gamma function `gammainc`.

```>>> sc.gammainc(k + 1, 1)
array([2.64241118e-001, 1.00477664e-008, 3.94147589e-161, 0.00000000e+000])
```