.Ms_recursive

This internal function computes raw moments based on a recursive relation given
in Makouei et al. (2021). It is used by the main moment functions.

internal

Provides a comprehensive set of tools for working with order statistics,
including functions for simulating order statistics, censored samples (Type I and Type II),
and record values from various continuous distributions. Additionally, it offers functions
to compute moments (mean, variance, skewness, kurtosis) of order statistics for several
continuous distributions. These tools assist researchers and statisticians in understanding
and analyzing the properties of order statistics and related data. The methods and algorithms
implemented in this package are based on several published works, including
Ahsanullah et al (2013, ISBN:9789491216831),
Arnold and Balakrishnan (2012, ISBN:1461236444),
Harter and Balakrishnan (1996, ISBN:9780849394522),
Balakrishnan and Sandhu (1995) <doi:10.1080/00031305.1995.10476150>,
Genç (2012) <doi:10.1007/s00362-010-0320-y>,
Makouei et al (2021) <doi:10.1016/j.cam.2021.113386> and
Nagaraja (2013) <doi:10.1016/j.spl.2013.06.028>.

Reyhaneh Arafeh

Simulation and Moment Computation for Order Statistics

Mahdi Salehi

.Ms_recursive function

<dl><dt>a</dt>
<dd>a positive numeric value.</dd>
<dt>b</dt>
<dd>a positive integer value.</dd>
<dt>k</dt>
<dd>a non-negative integer value.</dd>
<dt>s</dt>
<dd>a positive integer value.</dd></dl>

Arguments

Recursive Computation of Moments from Complementary Beta Distribution — .Ms_recursive

<dl>

<dt>a</dt>
<dd>a positive numeric value.</dd>


<dt>b</dt>
<dd>a positive integer value.</dd>


<dt>k</dt>
<dd>a non-negative integer value.</dd>


<dt>s</dt>
<dd>a positive integer value.</dd>

</dl>

.Ms_recursive: Recursive Computation of Moments from Complementary Beta Distribution

Description

Usage

Arguments

References