diff --git a/R/methods_cplm.R b/R/methods_cplm.R
index ad8efa25f..aa0fbf91d 100644
--- a/R/methods_cplm.R
+++ b/R/methods_cplm.R
@@ -18,6 +18,43 @@
 #' @seealso [insight::standardize_names()] to rename
 #'   columns into a consistent, standardized naming scheme.
 #'
+#' @section Model components:
+#' Possible values for the `component` argument depend on the model class.
+#' Following are valid options:
+#' - `"all"`: returns all model components, applies to all models, but will only
+#'   have an effect for models with more than just the conditional model component.
+#' - `"conditional"`: only returns the conditional component, i.e. "fixed effects"
+#'   terms from the model. Will only have an effect for models with more than
+#'   just the conditional model component.
+#' - `"smooth_terms"`: returns smooth terms, only applies to GAMs (or similar
+#'   models that may contain smooth terms).
+#' - `"zero_inflated"` (or `"zi"`): returns the zero-inflation component.
+#' - `"dispersion"`: returns the dispersion model component. This is common
+#'   for models with zero-inflation or that can model the dispersion parameter.
+#' - `"instruments"`: for instrumental-variable or some fixed effects regression,
+#'   returns the instruments.
+#' - `"nonlinear"`: for non-linear models (like models of class `nlmerMod` or
+#'   `nls`), returns staring estimates for the nonlinear parameters.
+#' - `"correlation"`: for models with correlation-component, like `gls`, the
+#'   variables used to describe the correlation structure are returned.
+#'
+#' **Special models**
+#'
+#' Some model classes also allow rather uncommon options. These are:
+#' - **mhurdle**: `"infrequent_purchase"`, `"ip"`, and `"auxiliary"`
+#' - **BGGM**: `"correlation"` and `"intercept"`
+#' - **BFBayesFactor**, **glmx**: `"extra"`
+#' - **averaging**:`"conditional"` and `"full"`
+#' - **mjoint**: `"survival"`
+#' - **mfx**: `"precision"`, `"marginal"`
+#' - **betareg**, **DirichletRegModel**: `"precision"`
+#' - **mvord**: `"thresholds"` and `"correlation"`
+#' - **clm2**: `"scale"`
+#'
+#' For models of class `brmsfit` (package **brms**), `component`, even more
+#' options are possible for the `component` argument, which are not all
+#' documented in detail here.
+#'
 #' @examples
 #' library(parameters)
 #' if (require("pscl")) {
@@ -32,7 +69,7 @@ model_parameters.zcpglm <- function(model,
                                     ci = 0.95,
                                     bootstrap = FALSE,
                                     iterations = 1000,
-                                    component = c("all", "conditional", "zi", "zero_inflated"),
+                                    component = "all",
                                     standardize = NULL,
                                     exponentiate = FALSE,
                                     p_adjust = NULL,
@@ -42,7 +79,7 @@ model_parameters.zcpglm <- function(model,
                                     drop = NULL,
                                     verbose = TRUE,
                                     ...) {
-  component <- match.arg(component)
+  component <- insight::validate_argument(component, c("all", "conditional", "zi", "zero_inflated"))
 
   # fix argument, if model has no zi-part
   if (!insight::model_info(model, verbose = FALSE)$is_zero_inflated && component != "conditional") {
diff --git a/R/methods_mhurdle.R b/R/methods_mhurdle.R
index 47775b8c2..8d6a97f8c 100644
--- a/R/methods_mhurdle.R
+++ b/R/methods_mhurdle.R
@@ -1,15 +1,17 @@
-#' @rdname model_parameters.zcpglm
 #' @export
 model_parameters.mhurdle <- function(model,
                                      ci = 0.95,
-                                     component = c("all", "conditional", "zi", "zero_inflated", "infrequent_purchase", "ip", "auxiliary"),
+                                     component = "all",
                                      exponentiate = FALSE,
                                      p_adjust = NULL,
                                      keep = NULL,
                                      drop = NULL,
                                      verbose = TRUE,
                                      ...) {
-  component <- match.arg(component)
+  component <- insight::validate_argument(
+    component,
+    c("all", "conditional", "zi", "zero_inflated", "infrequent_purchase", "ip", "auxiliary")
+  )
 
   params <- .model_parameters_generic(
     model,
diff --git a/man/model_parameters.zcpglm.Rd b/man/model_parameters.zcpglm.Rd
index d7f14b755..98e3786d4 100644
--- a/man/model_parameters.zcpglm.Rd
+++ b/man/model_parameters.zcpglm.Rd
@@ -1,8 +1,7 @@
 % Generated by roxygen2: do not edit by hand
-% Please edit documentation in R/methods_cplm.R, R/methods_mhurdle.R
+% Please edit documentation in R/methods_cplm.R
 \name{model_parameters.zcpglm}
 \alias{model_parameters.zcpglm}
-\alias{model_parameters.mhurdle}
 \title{Parameters from Zero-Inflated Models}
 \usage{
 \method{model_parameters}{zcpglm}(
@@ -10,7 +9,7 @@
   ci = 0.95,
   bootstrap = FALSE,
   iterations = 1000,
-  component = c("all", "conditional", "zi", "zero_inflated"),
+  component = "all",
   standardize = NULL,
   exponentiate = FALSE,
   p_adjust = NULL,
@@ -21,19 +20,6 @@
   verbose = TRUE,
   ...
 )
-
-\method{model_parameters}{mhurdle}(
-  model,
-  ci = 0.95,
-  component = c("all", "conditional", "zi", "zero_inflated", "infrequent_purchase", "ip",
-    "auxiliary"),
-  exponentiate = FALSE,
-  p_adjust = NULL,
-  keep = NULL,
-  drop = NULL,
-  verbose = TRUE,
-  ...
-)
 }
 \arguments{
 \item{model}{A model with zero-inflation component.}
@@ -148,6 +134,49 @@ A data frame of indices related to the model's parameters.
 Parameters from zero-inflated models (from packages like \strong{pscl},
 \strong{cplm} or \strong{countreg}).
 }
+\section{Model components}{
+
+Possible values for the \code{component} argument depend on the model class.
+Following are valid options:
+\itemize{
+\item \code{"all"}: returns all model components, applies to all models, but will only
+have an effect for models with more than just the conditional model component.
+\item \code{"conditional"}: only returns the conditional component, i.e. "fixed effects"
+terms from the model. Will only have an effect for models with more than
+just the conditional model component.
+\item \code{"smooth_terms"}: returns smooth terms, only applies to GAMs (or similar
+models that may contain smooth terms).
+\item \code{"zero_inflated"} (or \code{"zi"}): returns the zero-inflation component.
+\item \code{"dispersion"}: returns the dispersion model component. This is common
+for models with zero-inflation or that can model the dispersion parameter.
+\item \code{"instruments"}: for instrumental-variable or some fixed effects regression,
+returns the instruments.
+\item \code{"nonlinear"}: for non-linear models (like models of class \code{nlmerMod} or
+\code{nls}), returns staring estimates for the nonlinear parameters.
+\item \code{"correlation"}: for models with correlation-component, like \code{gls}, the
+variables used to describe the correlation structure are returned.
+}
+
+\strong{Special models}
+
+Some model classes also allow rather uncommon options. These are:
+\itemize{
+\item \strong{mhurdle}: \code{"infrequent_purchase"}, \code{"ip"}, and \code{"auxiliary"}
+\item \strong{BGGM}: \code{"correlation"} and \code{"intercept"}
+\item \strong{BFBayesFactor}, \strong{glmx}: \code{"extra"}
+\item \strong{averaging}:\code{"conditional"} and \code{"full"}
+\item \strong{mjoint}: \code{"survival"}
+\item \strong{mfx}: \code{"precision"}, \code{"marginal"}
+\item \strong{betareg}, \strong{DirichletRegModel}: \code{"precision"}
+\item \strong{mvord}: \code{"thresholds"} and \code{"correlation"}
+\item \strong{clm2}: \code{"scale"}
+}
+
+For models of class \code{brmsfit} (package \strong{brms}), \code{component}, even more
+options are possible for the \code{component} argument, which are not all
+documented in detail here.
+}
+
 \examples{
 library(parameters)
 if (require("pscl")) {