repl.txt (1640B)
1 2 {{alias}}( x, μ, σ ) 3 Evaluates the cumulative distribution function (CDF) for a normal 4 distribution with mean `μ` and standard deviation `σ` at a value `x`. 5 6 If provided `NaN` as any argument, the function returns `NaN`. 7 8 If provided `σ < 0`, the function returns `NaN`. 9 10 Parameters 11 ---------- 12 x: number 13 Input value. 14 15 μ: number 16 Location parameter. 17 18 σ: number 19 Standard deviation. 20 21 Returns 22 ------- 23 out: number 24 Evaluated CDF. 25 26 Examples 27 -------- 28 > var y = {{alias}}( 2.0, 0.0, 1.0 ) 29 ~0.977 30 > y = {{alias}}( -1.0, -1.0, 2.0 ) 31 0.5 32 > y = {{alias}}( -1.0, 4.0, 2.0 ) 33 ~0.006 34 > y = {{alias}}( NaN, 0.0, 1.0 ) 35 NaN 36 > y = {{alias}}( 0.0, NaN, 1.0 ) 37 NaN 38 > y = {{alias}}( 0.0, 0.0, NaN ) 39 NaN 40 41 // Negative standard deviation: 42 > y = {{alias}}( 2.0, 0.0, -1.0 ) 43 NaN 44 45 // Degenerate distribution centered at `μ` when `σ = 0.0`: 46 > y = {{alias}}( 2.0, 8.0, 0.0 ) 47 0.0 48 > y = {{alias}}( 8.0, 8.0, 0.0 ) 49 1.0 50 > y = {{alias}}( 10.0, 8.0, 0.0 ) 51 1.0 52 53 54 {{alias}}.factory( μ, σ ) 55 Returns a function for evaluating the cumulative distribution function (CDF) 56 of a normal distribution with mean `μ` and standard deviation `σ`. 57 58 Parameters 59 ---------- 60 μ: number 61 Location parameter. 62 63 σ: number 64 Standard deviation. 65 66 Returns 67 ------- 68 cdf: Function 69 Cumulative distribution function (CDF). 70 71 Examples 72 -------- 73 > var myCDF = {{alias}}.factory( 10.0, 2.0 ); 74 > var y = myCDF( 10.0 ) 75 0.5 76 77 See Also 78 -------- 79