{{alias}}( x, α, β ) Evaluates the natural logarithm of the cumulative distribution function (CDF) for a beta distribution with first shape parameter `α` and second shape parameter `β` at a value `x`. If provided `NaN` as any argument, the function returns `NaN`. If `α <= 0` or `β <= 0`, the function returns `NaN`. Parameters ---------- x: number Input value. α: number First shape parameter. β: number Second shape parameter. Returns ------- out: number Evaluated logCDF. Examples -------- > var y = {{alias}}( 0.5, 1.0, 1.0 ) ~-0.693 > y = {{alias}}( 0.5, 2.0, 4.0 ) ~-0.208 > y = {{alias}}( 0.2, 2.0, 2.0 ) ~-2.263 > y = {{alias}}( 0.8, 4.0, 4.0 ) ~-0.034 > y = {{alias}}( -0.5, 4.0, 2.0 ) -Infinity > y = {{alias}}( 1.5, 4.0, 2.0 ) 0.0 > y = {{alias}}( 2.0, -1.0, 0.5 ) NaN > y = {{alias}}( 2.0, 0.5, -1.0 ) NaN > y = {{alias}}( NaN, 1.0, 1.0 ) NaN > y = {{alias}}( 0.0, NaN, 1.0 ) NaN > y = {{alias}}( 0.0, 1.0, NaN ) NaN {{alias}}.factory( α, β ) Returns a function for evaluating the natural logarithm of the cumulative distribution function (CDF) of a beta distribution with first shape parameter `α` and second shape parameter `β`. Parameters ---------- α: number First shape parameter. β: number Second shape parameter. Returns ------- logcdf: Function Logarithm of cumulative distribution function (CDF). Examples -------- > var mylogcdf = {{alias}}.factory( 0.5, 0.5 ); > var y = mylogcdf( 0.8 ) ~-0.35 > y = mylogcdf( 0.3 ) ~-0.997 See Also --------