Student: Non-central Student distribution

In boodist: Some Distributions from the 'Boost' Library and More

Non-central Student distribution

Description

A R6 class to represent a non-central Student distribution.

Active bindings

nu

Get or set the value of nu.

delta

Get or set the value of delta.

Methods

Public methods

• Student$new()

• Student$d()

• Student$p()

• Student$q()

• Student$r()

• Student$mean()

• Student$median()

• Student$mode()

• Student$sd()

• Student$variance()

• Student$skewness()

• Student$kurtosis()

• Student$kurtosisExcess()

• Student$clone()

---

Method new()

New Student distribution.

Usage

Student$new(nu, delta)

Arguments

nu

degrees of freedom parameter, >0

delta

non-centrality parameter

Returns

A Student object.

---

Method d()

Density function of the Student distribution.

Usage

Student$d(x)

Arguments

x

numeric vector

Returns

The density evaluated at x.

---

Method p()

Cumulative distribution function of the Student distribution.

Usage

Student$p(q, lower = TRUE)

Arguments

q

numeric vector of quantiles

lower

Boolean, whether to deal with the lower tail

Returns

The cumulative probabilities corresponding to q.

---

Method q()

Quantile function of the Student distribution.

Usage

Student$q(p, lower = TRUE)

Arguments

p

numeric vector of probabilities

lower

Boolean, whether to deal with the lower tail

Returns

The quantiles corresponding to p.

---

Method r()

Sampling from the Student distribution.

Usage

Student$r(n)

Arguments

n

number of simulations

Returns

A numeric vector of length n.

---

Method mean()

Mean of the Student distribution.

Usage

Student$mean()

Returns

The mean of the Student distribution.

---

Method median()

Median of the Student distribution.

Usage

Student$median()

Returns

The median of the Student distribution.

---

Method mode()

Mode of the Student distribution.

Usage

Student$mode()

Returns

The mode of the Student distribution.

---

Method sd()

Standard deviation of the Student distribution.

Usage

Student$sd()

Returns

The standard deviation of the Student distribution.

---

Method variance()

Variance of the Student distribution.

Usage

Student$variance()

Returns

The variance of the Student distribution.

---

Method skewness()

Skewness of the Student distribution.

Usage

Student$skewness()

Returns

The skewness of the Student distribution.

---

Method kurtosis()

Kurtosis of the Student distribution.

Usage

Student$kurtosis()

Returns

The kurtosis of the Student distribution.

---

Method kurtosisExcess()

Kurtosis excess of the Student distribution.

Usage

Student$kurtosisExcess()

Returns

The kurtosis excess of the Student distribution.

---

Method clone()

The objects of this class are cloneable with this method.

Usage

Student$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.

Note

The non-centrality parameter of the Student distribution in the stats package is limited to abs(ncp) <= 37.62. The present implementation allows a larger range.

boodist documentation built on Aug. 10, 2023, 5:10 p.m.