Calculations involving the multivariate normal and multivariate t distributions with and without truncation

被引:0
作者
Grayling, Michael J. [1 ]
Mander, Adrian P. [1 ]
机构
[1] MRC Biostat Unit, Hub Trials Methodol Res, Cambridge, England
基金
英国惠康基金; 英国医学研究理事会;
关键词
st0542; mvnormalden; pmvnormal; invmvnormal; rmvnormal; mvtden; mvt; invmvt; rmvt; tmvnormalden; tmvnormal; invtmvnormal; rtmvnormal; tmvtden; tmvt; invtmvt; rtmvt; multivariate normal; multivariate t; truncated distribution; SIMULATION;
D O I
10.1177/1536867X1801800405
中图分类号
O1 [数学]; C [社会科学总论];
学科分类号
03 ; 0303 ; 0701 ; 070101 ;
摘要
In this article, we present a set of commands and Mata functions to evaluate different distributional quantities of the multivariate normal distribution and a particular type of noncentral multivariate t distribution. Specifically, their densities, distribution functions, equicoordinate quantiles, and pseudo-random vectors can be computed efficiently, in either the absence or the presence of variable truncation.
引用
收藏
页码:826 / 843
页数:18
相关论文
共 21 条
  • [1] [Anonymous], 2004, Multivariate T Distributions and Their Applications
  • [2] [Anonymous], 1997, Statistics for Environmental Biology and Toxicology
  • [3] [Anonymous], 1987, MULTIVARIATE STAT SI, DOI DOI 10.1002/9781118150740
  • [4] [Anonymous], STOCHASTIC DYNAMICS
  • [5] [Anonymous], 1996, Handbook of the normal distribution
  • [6] [Anonymous], 2002, STAT APPL BIOL GEOLO
  • [7] [Anonymous], 1994, ADV NUMERICAL METHOD
  • [8] [Anonymous], 1992, J. Comput. Graph. Stat, DOI [DOI 10.1080/10618600.1992.10477010, 10.2307/1390838]
  • [9] Calculation of multivariate normal probabilities by simulation, with applications to maximum simulated likelihood estimation
    Cappellari, Lorenzo
    Jenkins, Stephen P.
    [J]. STATA JOURNAL, 2006, 6 (02) : 156 - 189
  • [10] Feigelson ED, 2012, MODERN STATISTICAL METHODS FOR ASTRONOMY: WITH R APPLICATIONS, P1, DOI 10.1017/CBO9781139015653