6:[["$","script","structured-data",{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"$18"}}],["$","section",null,{"className":"relative overflow-hidden bg-gradient-to-b from-blue-50 via-transparent to-transparent py-6 sm:pb-12 sm:pt-12 lg:pb-12 xl:pb-24 xl:pt-24 dark:from-gray-900","children":[["$","div",null,{"className":"relative z-10","children":["$","div",null,{"className":"absolute inset-x-0 top-1/2 -z-10 flex -translate-y-1/2 justify-center overflow-hidden [mask-image:radial-gradient(50%_45%_at_50%_55%,white,transparent)]","children":["$","svg",null,{"className":"h-[60rem] w-[100rem] flex-none stroke-blue-600 opacity-20","aria-hidden":"true","children":[["$","defs",null,{"children":["$","pattern",null,{"id":"e9033f3e-f665-41a6-84ef-756f6778e6fe","width":200,"height":200,"x":"50%","y":"50%","patternUnits":"userSpaceOnUse","patternTransform":"translate(-100 0)","children":["$","path",null,{"d":"M.5 200V.5H200","fill":"none"}]}]}],["$","svg",null,{"x":"50%","y":"50%","className":"overflow-visible fill-blue-50","children":["$","path",null,{"d":"M-300 0h201v201h-201Z M300 200h201v201h-201Z","strokeWidth":0}]}],["$","rect",null,{"width":"100%","height":"100%","strokeWidth":0,"fill":"url(#e9033f3e-f665-41a6-84ef-756f6778e6fe)"}]]}]}]}],["$","div",null,{"className":"relative z-20 mx-auto max-w-7xl px-6 lg:px-8","children":["$","div",null,{"className":"mx-auto max-w-2xl flex flex-col items-center text-center","children":[["$","nav",null,{"aria-label":"breadcrumb","children":["$","ol",null,{"className":"flex flex-wrap items-center gap-1.5 break-words text-sm text-muted-foreground sm:gap-2.5","children":[["$","li",null,{"className":"inline-flex items-center gap-1.5","children":["$","a",null,{"className":"transition-colors hover:text-foreground","href":"/","children":"Home"}]}],["$","li",null,{"role":"presentation","aria-hidden":"true","className":"[&>svg]:size-3.5","children":["$","svg",null,{"width":"15","height":"15","viewBox":"0 0 15 15","fill":"none","xmlns":"http://www.w3.org/2000/svg","children":["$","path",null,{"d":"M6.1584 3.13508C6.35985 2.94621 6.67627 2.95642 6.86514 3.15788L10.6151 7.15788C10.7954 7.3502 10.7954 7.64949 10.6151 7.84182L6.86514 11.8418C6.67627 12.0433 6.35985 12.0535 6.1584 11.8646C5.95694 11.6757 5.94673 11.3593 6.1356 11.1579L9.565 7.49985L6.1356 3.84182C5.94673 3.64036 5.95694 3.32394 6.1584 3.13508Z","fill":"currentColor","fillRule":"evenodd","clipRule":"evenodd"}]}]}],["$","li",null,{"className":"inline-flex items-center gap-1.5","children":["$","a",null,{"className":"transition-colors hover:text-foreground","href":"/packages","children":"Packages"}]}],["$","li",null,{"role":"presentation","aria-hidden":"true","className":"[&>svg]:size-3.5","children":["$","svg",null,{"width":"15","height":"15","viewBox":"0 0 15 15","fill":"none","xmlns":"http://www.w3.org/2000/svg","children":["$","path",null,{"d":"M6.1584 3.13508C6.35985 2.94621 6.67627 2.95642 6.86514 3.15788L10.6151 7.15788C10.7954 7.3502 10.7954 7.64949 10.6151 7.84182L6.86514 11.8418C6.67627 12.0433 6.35985 12.0535 6.1584 11.8646C5.95694 11.6757 5.94673 11.3593 6.1356 11.1579L9.565 7.49985L6.1356 3.84182C5.94673 3.64036 5.95694 3.32394 6.1584 3.13508Z","fill":"currentColor","fillRule":"evenodd","clipRule":"evenodd"}]}]}],["$","li",null,{"className":"inline-flex items-center gap-1.5","children":["$","a",null,{"className":"transition-colors hover:text-foreground","href":"/packages/BNPdensity","children":"BNPdensity"}]}],["$","li",null,{"role":"presentation","aria-hidden":"true","className":"[&>svg]:size-3.5","children":["$","svg",null,{"width":"15","height":"15","viewBox":"0 0 15 15","fill":"none","xmlns":"http://www.w3.org/2000/svg","children":["$","path",null,{"d":"M6.1584 3.13508C6.35985 2.94621 6.67627 2.95642 6.86514 3.15788L10.6151 7.15788C10.7954 7.3502 10.7954 7.64949 10.6151 7.84182L6.86514 11.8418C6.67627 12.0433 6.35985 12.0535 6.1584 11.8646C5.95694 11.6757 5.94673 11.3593 6.1356 11.1579L9.565 7.49985L6.1356 3.84182C5.94673 3.64036 5.95694 3.32394 6.1584 3.13508Z","fill":"currentColor","fillRule":"evenodd","clipRule":"evenodd"}]}]}],["$","li",null,{"className":"inline-flex items-center gap-1.5","children":["$","span",null,{"role":"link","aria-disabled":"true","aria-current":"page","className":"font-normal text-foreground","children":"gs3"}]}]]}]}],["$","h1",null,{"className":"text-4xl font-bold tracking-tight text-gray-900 sm:text-6xl dark:text-white mt-3","children":["$","div",null,{"className":"relative","children":"gs3 function"}]}],["$","span",null,{"children":["$","div",null,{"className":"mt-6 text-lg leading-8 text-gray-600 dark:text-white","children":["$","p","p-0",{"children":"Conditional posterior distribution of latent U"}]}]}],["$","$L19",null,{"copyText":"install.packages(\"BNPdensity\")"}]]}]}]]}],["$","div",null,{"className":"mx-auto w-full max-w-screen-xl px-2.5 pb-24","children":["$","div",null,{"className":"flex flex-col lg:flex-row gap-4 lg:gap-8","children":[["$","div",null,{"className":"lg:w-2/3","children":["$","div",null,{"className":"rounded-2xl border p1 sm:p-8","children":["$","div",null,{"className":"markdown-container","children":["$","$1a",null,{"fallback":null,"children":["$","$L1b",null,{"reason":"next/dynamic","children":["$","$L1c",null,{"content":"# Conditional posterior distribution of latent U\n\nThis function simulates from the conditional posterior distribution of the latent U.\n\n\n```r\ngs3(ut, n, r, alpha, kappa, gama, delta)\n```\n\n\n\n## Details\n\nFor internal use.\n\n## Examples\n\n```r\n## The function is currently defined as\nfunction(ut, n = 200, r = 20, alpha = 1, kappa = 1, gama = 1 / 2,\n delta = 2) {\n w <- ut\n ratio <- NaN\n while (is.nan(ratio)) {\n v <- ustar <- rgamma(1, shape = delta, rate = delta / ut)\n vw <- v / w\n vb <- v + kappa\n wb <- w + kappa\n A <- vw^(n - 2 * delta)\n B <- (vb / wb)^(r * gama - n)\n D <- vb^gama - wb^gama\n E <- 1 / vw - vw\n ratio <- A * B * exp(-alpha / gama * D - delta * E)\n }\n p <- min(1, ratio)\n u <- ifelse(runif(1) <= p, ustar, ut)\n return(u)\n}\n```"}]}]}]}]}]}],["$","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/BNPdensity","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"]}],["$","span",null,{"className":"w-full","children":["BNPdensity"," package"]}]]}],["$","a",null,{"href":"https://cran.r-project.org/web/packages/BNPdensity/BNPdensity.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: ","Guillaume Kon Kam King"]}]}],["$","li",null,{"children":["$","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"}],"$undefined"]}],"Last published: ","2023-03-24"]}]}],null]}]}],["$","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":"BNPdensity"}]]}]]}]}]]