#' Estimate Exponential Parameters
#'
#' @family Parameter Estimation
#' @family Exponential
#'
#' @author Steven P. Sanderson II, MPH
#'
#' @details This function will see if the given vector `.x` is a numeric vector.
#'
#' @description This function will attempt to estimate the exponential rate parameter
#' given some vector of values. The function will return a list output by default, and if the parameter
#' `.auto_gen_empirical` is set to `TRUE` then the empirical data given to the
#' parameter `.x` will be run through the `tidy_empirical()` function and combined
#' with the estimated exponential data.
#'
#' @param .x The vector of data to be passed to the function. Must be numeric.
#' @param .auto_gen_empirical This is a boolean value of TRUE/FALSE with default
#' set to TRUE. This will automatically create the `tidy_empirical()` output
#' for the `.x` parameter and use the `tidy_combine_distributions()`. The user
#' can then plot out the data using `$combined_data_tbl` from the function output.
#'
#' @examples
#' library(dplyr)
#' library(ggplot2)
#'
#' te <- tidy_exponential(.rate = .1) |> pull(y)
#' output <- util_exponential_param_estimate(te)
#'
#' output$parameter_tbl
#'
#' output$combined_data_tbl |>
#' tidy_combined_autoplot()
#'
#' @return
#' A tibble/list
#'
#' @export
#'
util_exponential_param_estimate <- function(.x, .auto_gen_empirical = TRUE) {
# Tidyeval ----
x_term <- .x
n <- length(x_term)
minx <- min(as.numeric(x_term))
maxx <- max(as.numeric(x_term))
m <- mean(as.numeric(x_term))
s2 <- var(as.numeric(x_term))
# Checks ----
if (!is.numeric(x_term)) {
rlang::abort(
message = "The '.x' term must be a numeric vector.",
use_cli_format = TRUE
)
}
if (!is.vector(x_term)) {
rlang::abort(
message = "The '.x' term must be a numeric vecotr.",
use_cli_format = TRUE
)
}
rate <- 1 / m
# Return Tibble ----
if (.auto_gen_empirical) {
te <- tidy_empirical(.x = x_term)
td <- tidy_exponential(.n = n, .rate = round(rate, 3))
combined_tbl <- tidy_combine_distributions(te, td)
}
ret <- dplyr::tibble(
dist_type = "Exponential",
samp_size = n,
min = minx,
max = maxx,
mean = m,
variance = s2,
method = "NIST_MME",
rate = rate
)
# Return ----
attr(ret, "tibble_type") <- "parameter_estimation"
attr(ret, "family") <- "exponential"
attr(ret, "x_term") <- .x
attr(ret, "n") <- n
if (.auto_gen_empirical) {
output <- list(
combined_data_tbl = combined_tbl,
parameter_tbl = ret
)
} else {
output <- list(
parameter_tbl = ret
)
}
return(output)
}
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