## ----setup, include = FALSE---------------------------------------------------
knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>"
)

## ----mpg_example_start, echo = TRUE-------------------------------------------
library("kdensity")
kde <- kdensity(mtcars$mpg, start = "gumbel", kernel = "gaussian")
kde(20)

## ----mpg_example_expectation, echo = TRUE-------------------------------------
integrate(function(x) x * kde(x), lower = -Inf, upper = Inf)$value

## ----mpg_example_plot, echo = TRUE,fig.height = 5, fig.width = 5, fig.align = "center"----
plot(kde, main = "Miles per Gallon")
lines(kde, plot_start = TRUE, col = "red")
rug(mtcars$mpg)

## ----mpg_example_plot_magrittr, echo = TRUE, eval = FALSE---------------------
# library("magrittr")
# kde %>%
#   plot(main = "Miles per Gallon") %>%
#   lines(plot_start = TRUE, col = "red")

## ----mpg_example_generics, echo = TRUE----------------------------------------
coef(kde)
logLik(kde)
AIC(kde)

## ----mpg_example_summary, echo = TRUE-----------------------------------------
summary(kde)

## ----mpg_example_access, echo = TRUE------------------------------------------
kde$start_str
kde[["x"]]

## ----mpg_example_changes, echo = TRUE-----------------------------------------
kde$bw <- "RHE"
update(kde, start = "normal")

## -----------------------------------------------------------------------------
normal <- list(
  density = dnorm,
  estimator = function(data) {
    c(
      mean = mean(data),
      sd = sd(data)
    )
  },
  support = c(-Inf, Inf)
)

## ----fig2, fig.height = 5, fig.width = 5, fig.align = "center"----------------
LH <- diff(LakeHuron)
kde_normal <- kdensity(LH, start = "normal")
plot(kde_normal,
  lwd = 2, col = "black",
  main = "Lake Huron differences"
)

## -----------------------------------------------------------------------------
skew_hyperbolic <- list(
  density = SkewHyperbolic::dskewhyp,
  estimator = function(x) {
    SkewHyperbolic::skewhypFit(x, printOut = FALSE)$param
  },
  support = c(-Inf, Inf)
)

## ----fig.height = 5, fig.width = 5, fig.align = "center"----------------------
kde_skewhyp <- kdensity(LH, start = skew_hyperbolic)
plot(kde_skewhyp,
  lwd = 2, col = "blue",
  main = "Lake Huron differences"
)
lines(kde_normal)
lines(kde_skewhyp, plot_start = TRUE, lty = 2, lwd = 2)
rug(LH)

## -----------------------------------------------------------------------------
gaussian <- list(
  kernel  = function(y, x, h) dnorm((y - x) / h),
  sd      = 1,
  support = c(-Inf, Inf)
)

