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distribution.\n\n\n```r\nprodmnt(Obj, kappa)\n```\n\n## Arguments\n\n- `Obj`: mtrunmnt object created by the `mtrunmnt`.\n- `kappa`: Vector of orders of length equal to mu.\n\n## Returns\n\na numeric value.\n\n\n\n## Details\n\n`prodmnt` is a S3 generic function of the class `mtrunmnt`. Using the multivariate Gaussian quadrature, it computes the product moment $E(\\prod_{i=1}^n Y_i^{k_i}) | a_i < Y_i < b_i, i = 1, \\ldots, n)$, where $Y \\sim N(\\mu, ZDZ' + E)$.\n\n## Examples\n\n```r\n### A simple example ####\n\nset.seed(123)\nsigma2e <- 1\nsigma2a <- 2\nn <- 5\nmu <- seq(-1,1, length.out = n)\ny <- mu + rnorm(1, sd = sqrt(sigma2a)) + rnorm(n, sd = sqrt(sigma2e))\na <- rep(-Inf, n)\nb <- rep(Inf, n)\na[y >= 0] <- 0\nb[y < 0] <- 0\nobj <- mtrunmnt(mu, lower = a, upper = b, Sigmae = sigma2e, D = sigma2a) \nprodmnt(obj, c(2,2,0,0,0))\n```\n\n## See Also\n\n`mtrunmnt`, `momentsTMD`."}]}]}]}]}]}],["$","div",null,{"className":"lg:w-1/3 lg:border-l px-1 sm:px-8 pt-8 sm:pt-1","children":[["$","div",null,{"className":"mb-8 space-y-8","children":[["$","a",null,{"href":"/packages/trunmnt","className":"w-full inline-flex items-center justify-center p-4 text-base font-medium text-gray-600 rounded-lg bg-muted hover:text-gray-900 hover:bg-gray-100 dark:text-gray-400 dark:bg-gray-800 dark:hover:bg-gray-700 dark:hover:text-white","children":[["$","svg",null,{"xmlns":"http://www.w3.org/2000/svg","width":24,"height":24,"viewBox":"0 0 24 24","fill":"none","stroke":"currentColor","strokeWidth":2,"strokeLinecap":"round","strokeLinejoin":"round","className":"lucide lucide-package mr-4 h-6 w-6","children":[["$","path","1c824w",{"d":"m7.5 4.27 9 5.15"}],["$","path","hh9hay",{"d":"M21 8a2 2 0 0 0-1-1.73l-7-4a2 2 0 0 0-2 0l-7 4A2 2 0 0 0 3 8v8a2 2 0 0 0 1 1.73l7 4a2 2 0 0 0 2 0l7-4A2 2 0 0 0 21 16Z"}],["$","path","g66t2b",{"d":"m3.3 7 8.7 5 8.7-5"}],["$","path","d0xqtd",{"d":"M12 22V12"}],"$undefined"]}],["$","span",null,{"className":"w-full","children":["trunmnt"," package"]}]]}],["$","a",null,{"href":"https://cran.r-project.org/web/packages/trunmnt/trunmnt.pdf","target":"_blank","rel":"noopener noreferrer","className":"w-full inline-flex items-center justify-center p-4 text-base font-medium text-gray-600 rounded-lg bg-muted hover:text-gray-900 hover:bg-gray-100 dark:text-gray-400 dark:bg-gray-800 dark:hover:bg-gray-700 dark:hover:text-white","children":[["$","svg",null,{"xmlns":"http://www.w3.org/2000/svg","width":24,"height":24,"viewBox":"0 0 24 24","fill":"none","stroke":"currentColor","strokeWidth":2,"strokeLinecap":"round","strokeLinejoin":"round","className":"lucide lucide-book mr-4 h-6 w-6","children":[["$","path","t4utmx",{"d":"M4 19.5v-15A2.5 2.5 0 0 1 6.5 2H20v20H6.5a2.5 2.5 0 0 1 0-5H20"}],"$undefined"]}],["$","span",null,{"className":"w-full","children":"Read PDF manual"}]]}]]}],["$","div",null,{"children":["$","ul",null,{"className":"space-y-4 my-12","children":[["$","li",null,{"children":["$","div",null,{"className":"inline-flex","children":[["$","svg",null,{"xmlns":"http://www.w3.org/2000/svg","width":24,"height":24,"viewBox":"0 0 24 24","fill":"none","stroke":"currentColor","strokeWidth":2,"strokeLinecap":"round","strokeLinejoin":"round","className":"lucide lucide-user mr-4 h-6 w-6","children":[["$","path","975kel",{"d":"M19 21v-2a4 4 0 0 0-4-4H9a4 4 0 0 0-4 4v2"}],["$","circle","17ys0d",{"cx":"12","cy":"7","r":"4"}],"$undefined"]}]," Maintainer: ","Seung-Chun Lee"]}]}],["$","li",null,{"children":["$","div",null,{"className":"inline-flex","children":[["$","svg",null,{"xmlns":"http://www.w3.org/2000/svg","width":24,"height":24,"viewBox":"0 0 24 24","fill":"none","stroke":"currentColor","strokeWidth":2,"strokeLinecap":"round","strokeLinejoin":"round","className":"lucide lucide-scale mr-4 h-6 w-6","children":[["$","path","7g6ntu",{"d":"m16 16 3-8 3 8c-.87.65-1.92 1-3 1s-2.13-.35-3-1Z"}],["$","path","ijws7r",{"d":"m2 16 3-8 3 8c-.87.65-1.92 1-3 1s-2.13-.35-3-1Z"}],["$","path","1b0cd5",{"d":"M7 21h10"}],["$","path","108xh3",{"d":"M12 3v18"}],["$","path","3gwbw2",{"d":"M3 7h2c2 0 5-1 7-2 2 1 5 2 7 2h2"}],"$undefined"]}]," License: ","GPL-2"]}]}],["$","li",null,{"children":["$","div",null,{"className":"inline-flex","children":[["$","svg",null,{"xmlns":"http://www.w3.org/2000/svg","width":24,"height":24,"viewBox":"0 0 24 24","fill":"none","stroke":"currentColor","strokeWidth":2,"strokeLinecap":"round","strokeLinejoin":"round","className":"lucide lucide-calendar-days mr-4 h-6 w-6","children":[["$","path","1cmpym",{"d":"M8 2v4"}],["$","path","4m81vk",{"d":"M16 2v4"}],["$","rect","1hopcy",{"width":"18","height":"18","x":"3","y":"4","rx":"2"}],["$","path","8toen8",{"d":"M3 10h18"}],["$","path","6423bh",{"d":"M8 14h.01"}],["$","path","1etili",{"d":"M12 14h.01"}],["$","path","1gbofw",{"d":"M16 14h.01"}],["$","path","lrp35t",{"d":"M8 18h.01"}],["$","path","mhygvu",{"d":"M12 18h.01"}],["$","path","kzsmim",{"d":"M16 18h.01"}],"$undefined"]}],"Last published: ","2025-12-01"]}]}],null]}]}],["$","div",null,{"className":"mb-8","children":[["$","p",null,{"className":"border-b pb-1","children":"Useful links"}],["$","ul",null,{"className":"space-y-2 my-4","children":[]}]]}],["$","$L1d",null,{"Package":"trunmnt"}]]}]]}]}]]