Analytical Solutions for Primary Event Distributions Functions

Core functions for computing analytical solutions. More...

Collaboration diagram for Analytical Solutions for Primary Event Distributions Functions:

Subgroups
	Helpers for Analytical Solutions
	Helper functions for analytical solutions.

Functions
real	primarycensored_gamma_uniform_lcdf (data real d, real q, array[] real params, data real pwindow)
real	primarycensored_lognormal_uniform_lcdf (data real d, real q, array[] real params, data real pwindow)
real	primarycensored_weibull_uniform_lcdf (data real d, real q, array[] real params, data real pwindow)
real	primarycensored_gengamma_uniform_lcdf (data real d, real q, array[] real params, data real pwindow)
real	primarycensored_analytical_lcdf_raw (data real d, int dist_id, array[] real params, data real pwindow, int primary_id, array[] real primary_params)
real	primarycensored_analytical_lcdf (data real d, int dist_id, array[] real params, data real pwindow, data real L, data real D, int primary_id, array[] real primary_params)
real	primarycensored_analytical_cdf (data real d, int dist_id, array[] real params, data real pwindow, data real L, data real D, int primary_id, array[] real primary_params)
vector	primarycensored_analytical_lcdf_vectorized (data int start, data int n, data int dist_id, array[] real params, data real pwindow)

Description

Core functions for computing analytical solutions.

Function Documentation

primarycensored_analytical_cdf()

real primarycensored_analytical_cdf	(	data real	d,
		int	dist_id,
		array[]real	params,
		data real	pwindow,
		data real	L,
		data real	D,
		int	primary_id,
		array[]real	primary_params )

Compute the primary event censored CDF analytically for a single delay

Parameters

d	Delay
dist_id	Distribution identifier
params	Array of distribution parameters
pwindow	Primary event window
L	Minimum delay (lower truncation point)
D	Maximum delay (upper truncation point)
primary_id	Primary distribution identifier
primary_params	Primary distribution parameters

Returns

Primary event censored CDF, normalized over [L, D] if truncation is applied

Definition at line 429 of file primarycensored_analytical_cdf.stan.

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primarycensored_analytical_lcdf()

real primarycensored_analytical_lcdf	(	data real	d,
		int	dist_id,
		array[]real	params,
		data real	pwindow,
		data real	L,
		data real	D,
		int	primary_id,
		array[]real	primary_params )

Compute the primary event censored log CDF analytically for a single delay

Parameters

d	Delay
dist_id	Distribution identifier
params	Array of distribution parameters
pwindow	Primary event window
L	Minimum delay (lower truncation point)
D	Maximum delay (upper truncation point)
primary_id	Primary distribution identifier
primary_params	Primary distribution parameters

Returns

Primary event censored log CDF, normalized over [L, D] if truncation is applied

Definition at line 386 of file primarycensored_analytical_cdf.stan.

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primarycensored_analytical_lcdf_raw()

real primarycensored_analytical_lcdf_raw	(	data real	d,
		int	dist_id,
		array[]real	params,
		data real	pwindow,
		int	primary_id,
		array[]real	primary_params )

Compute the primary event censored log CDF analytically for a single delay (internal version without truncation)

Definition at line 333 of file primarycensored_analytical_cdf.stan.

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primarycensored_analytical_lcdf_vectorized()

vector primarycensored_analytical_lcdf_vectorized	(	data int	start,
		data int	n,
		data int	dist_id,
		array[]real	params,
		data real	pwindow )

Compute the primary event censored log CDF analytically at integer delays

The log CDF at d combines the terms at d and at q = max(d - pwindow, 0) (see primarycensored_uniform_lcdf_from_terms()). Both are integer delays, so the terms are computed once per delay and used for both, halving the CDF evaluations. The values are the same as from primarycensored_analytical_lcdf() at each delay without truncation. Only for cases where check_for_analytical_vectorized() is 1.

Parameters

start	First delay to compute
n	Last delay to compute, and the length of the result
dist_id	Distribution identifier
params	Array of distribution parameters
pwindow	Primary event window, a positive integer

Returns

Vector whose element d is the log CDF at d, for d in start:n. Elements before start are not computed.

Definition at line 481 of file primarycensored_analytical_cdf.stan.

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primarycensored_gamma_uniform_lcdf()

real primarycensored_gamma_uniform_lcdf	(	data real	d,
		real	q,
		array[]real	params,
		data real	pwindow )

Compute the primary event censored log CDF analytically for Gamma delay with Uniform primary

Parameters

d	Delay time
q	Lower bound of integration (max(d - pwindow, 0))
params	Array of Gamma distribution parameters [shape, rate]
pwindow	Primary event window

Returns

Log of the primary event censored CDF for Gamma delay with Uniform primary

Definition at line 255 of file primarycensored_analytical_cdf.stan.

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primarycensored_gengamma_uniform_lcdf()

real primarycensored_gengamma_uniform_lcdf	(	data real	d,
		real	q,
		array[]real	params,
		data real	pwindow )

Compute the primary event censored log CDF analytically for generalised gamma delay with Uniform primary

Parameters

d	Delay time
q	Lower bound of integration (max(d - pwindow, 0))
params	Array of generalised gamma distribution parameters [shape, scale, k]
pwindow	Primary event window

Returns

Log of the primary event censored CDF for generalised gamma delay with Uniform primary

Definition at line 319 of file primarycensored_analytical_cdf.stan.

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primarycensored_lognormal_uniform_lcdf()

real primarycensored_lognormal_uniform_lcdf	(	data real	d,
		real	q,
		array[]real	params,
		data real	pwindow )

Compute the primary event censored log CDF analytically for Lognormal delay with Uniform primary

Parameters

d	Delay time
q	Lower bound of integration (max(d - pwindow, 0))
params	Array of Lognormal distribution parameters [mu, sigma]
pwindow	Primary event window

Returns

Log of the primary event censored CDF for Lognormal delay with Uniform primary

Definition at line 276 of file primarycensored_analytical_cdf.stan.

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primarycensored_weibull_uniform_lcdf()

real primarycensored_weibull_uniform_lcdf	(	data real	d,
		real	q,
		array[]real	params,
		data real	pwindow )

Compute the primary event censored log CDF analytically for Weibull delay with Uniform primary

Parameters

d	Delay time
q	Lower bound of integration (max(d - pwindow, 0))
params	Array of Weibull distribution parameters [shape, scale]
pwindow	Primary event window

Returns

Log of the primary event censored CDF for Weibull delay with Uniform primary

Definition at line 297 of file primarycensored_analytical_cdf.stan.

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