| anchors | [{"section":"Bivariate normal distribution","snippet":"A distribution estimate for"},{"type":"math_alttext","value":"{\\displaystyle \\pi (\\rho \\mid r)={\\frac {\\ \\Gamma (N)\\ }{\\ {\\sqrt {2\\pi \\ }}\\cdot \\Gamma (N-{\\tfrac {\\ 1\\ }{2}})\\ }}\\cdot {\\bigl (}1-r^{2}{\\bigr )}^{\\frac {\\ N\\ -2\\ }{2}}\\cdot {\\bigl (}1-\\rho ^{2}{\\bigr )}^{\\frac {\\ N-3\\ }{2}}\\cdot {\\bigl (}1-r\\rho {\\bigr )}^{-N+{\\frac {\\ 3\\ }{2}}}\\cdot F_{\\mathsf {Hyp}}\\left(\\ {\\tfrac {\\ 3\\ }{2}},-{\\tfrac {\\ 1\\ }{2}};N-{\\tfrac {\\ 1\\ }{2}};{\\frac {\\ 1+r\\rho \\ }{2}}\\ \\right)\\ }"}] | [{"section":"Bivariate normal distribution","snippet":"A distribution estimate for"},{"type":"math_alttext","value":"{\\displaystyle \\pi (\\rho \\mid r)={\\frac {\\ \\Gamma (N)\\ }{\\ {\\sqrt {2\\pi \\ }}\\cdot \\Gamma (N-{\\tfrac {\\ 1\\ }{2}})\\ }}\\cdot {\\bigl (}1-r^{2}{\\bigr )}^{\\frac {\\ N\\ -2\\ }{2}}\\cdot {\\bigl (}1-\\rho ^{2}{\\bigr )}^{\\frac {\\ N-3\\ }{2}}\\cdot F_{\\mathsf {Hyp}}\\left(\\ {\\tfrac {\\ 3\\ }{2}},-{\\tfrac {\\ 1\\ }{2}};N-{\\tfrac {\\ 1\\ }{2}};{\\frac {\\ 1+r\\rho \\ }{2}}\\ \\right)\\ }"}] |