repl.txt (1808B)
1 2 {{alias}}( x, a, b ) 3 Evaluates the natural logarithm of the cumulative distribution function 4 (CDF) for Kumaraswamy's double bounded distribution with first shape 5 parameter `a` and second shape parameter `b` at a value `x`. 6 7 If provided `NaN` as any argument, the function returns `NaN`. 8 9 If `a <= 0` or `b <= 0`, the function returns `NaN`. 10 11 Parameters 12 ---------- 13 x: number 14 Input value. 15 16 a: number 17 First shape parameter. 18 19 b: number 20 Second shape parameter. 21 22 Returns 23 ------- 24 out: number 25 Evaluated logCDF. 26 27 Examples 28 -------- 29 > var y = {{alias}}( 0.5, 1.0, 1.0 ) 30 ~-0.693 31 > y = {{alias}}( 0.5, 2.0, 4.0 ) 32 ~-0.38 33 > y = {{alias}}( 0.2, 2.0, 2.0 ) 34 ~-2.546 35 > y = {{alias}}( 0.8, 4.0, 4.0 ) 36 ~-0.13 37 > y = {{alias}}( -0.5, 4.0, 2.0 ) 38 -Infinity 39 > y = {{alias}}( 1.5, 4.0, 2.0 ) 40 0.0 41 42 > y = {{alias}}( 2.0, -1.0, 0.5 ) 43 NaN 44 > y = {{alias}}( 2.0, 0.5, -1.0 ) 45 NaN 46 47 > y = {{alias}}( NaN, 1.0, 1.0 ) 48 NaN 49 > y = {{alias}}( 0.0, NaN, 1.0 ) 50 NaN 51 > y = {{alias}}( 0.0, 1.0, NaN ) 52 NaN 53 54 55 {{alias}}.factory( a, b ) 56 Returns a function for evaluating the natural logarithm of the cumulative 57 distribution function (CDF) of a Kumaraswamy's double bounded distribution 58 with first shape parameter `a` and second shape parameter `b`. 59 60 Parameters 61 ---------- 62 a: number 63 First shape parameter. 64 65 b: number 66 Second shape parameter. 67 68 Returns 69 ------- 70 logcdf: Function 71 Logarithm of cumulative distribution function (CDF). 72 73 Examples 74 -------- 75 > var mylogcdf = {{alias}}.factory( 0.5, 1.0 ); 76 > var y = mylogcdf( 0.8 ) 77 ~-0.112 78 > y = mylogcdf( 0.3 ) 79 ~-0.602 80 81 See Also 82 -------- 83