DeterminantEq¶

class dcprogs.likelihood.DeterminantEq(*args)¶

Compute determinant W needed to approximate missed event G

This object can be instantiated from a square matrix, the number of open states, and the resolution, or maximum length of missed events \(\tau\):

>>> DeterminantEq(matrix, nopen, tau)

or, it can be instantiated from a QMatrix instance and \(\tau\)

>>> DeterminantEq(qmatrix, tau)

Parameters:	matrix – Transition rate matrix, where the upper left corner contain open-open transitions nopen (integer) – Number of open states in the transition matrix. qmatrix – QMatrix instance tau (number) – Max length of missed events.

H(self, s) → DCProgs::t_rmatrix¶

H(self, s, tau) -> DCProgs::t_rmatrix Computes the matrix H

H is defined as \(\mathcal{Q}_{AA} + \mathcal{Q}_{AF}\ \int_0^\tau e^{-st}e^{\mathcal{Q}_{FF}t}\partial\,t\ \mathcal{Q}_{FA}\).

Parameters:	s (number) – The laplace scale. It can be a scalar or a numpy array of any shape. In the latter case, the return is a array of the same shape where each element is a matrix corresponding to the element in the input array. tau (number) – Optional. If present, it is the max length of missed events.
Returns:	a numpy array.

__call__(*args)¶

Computes determinant W

Parameters:

s: scalar, tuple, list, array

The laplace scale.

tau: optional number

If present, it is the max length of missed events.

Returns: If a scalar, returns a scalar. Otherwise returns a numpy array.

__weakref__¶

list of weak references to the object (if defined)

s_derivative(self, s) → DCProgs::t_rmatrix¶

s_derivative(self, s, tau) -> DCProgs::t_rmatrix Computes the derivative of H versus s

H is defined as \(\mathcal{Q}_{AA} + \mathcal{Q}_{AF}\ \int_0^\tau e^{-st}e^{\mathcal{Q}_{FF}t}\partial\,t\ \mathcal{Q}_{FA}\).

Parameters:	s (number) – The laplace scale. It can be a scalar or a numpy array of any shape. In the latter case, the return is a array of the same shape where each element is a matrix corresponding to the element in the input array. tau (number) – Optional. If present, it is the max length of missed events.
Returns:	a numpy array.

tau¶

Max length of mixed events.