repl.txt (1543B)
1 2 {{alias}}( x, μ, σ ) 3 Evaluates the probability density function (PDF) for a normal distribution 4 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 PDF. 25 26 Examples 27 -------- 28 > var y = {{alias}}( 2.0, 0.0, 1.0 ) 29 ~0.054 30 > y = {{alias}}( -1.0, 4.0, 2.0 ) 31 ~0.009 32 > y = {{alias}}( NaN, 0.0, 1.0 ) 33 NaN 34 > y = {{alias}}( 0.0, NaN, 1.0 ) 35 NaN 36 > y = {{alias}}( 0.0, 0.0, NaN ) 37 NaN 38 39 // Negative standard deviation: 40 > y = {{alias}}( 2.0, 0.0, -1.0 ) 41 NaN 42 43 // Degenerate distribution centered at `μ` when `σ = 0.0`: 44 > y = {{alias}}( 2.0, 8.0, 0.0 ) 45 0.0 46 > y = {{alias}}( 8.0, 8.0, 0.0 ) 47 infinity 48 49 50 {{alias}}.factory( μ, σ ) 51 Returns a function for evaluating the probability density function (PDF) of 52 a normal distribution with mean `μ` and standard deviation `σ`. 53 54 Parameters 55 ---------- 56 μ: number 57 Location parameter. 58 59 σ: number 60 Standard deviation. 61 62 Returns 63 ------- 64 pdf: Function 65 Probability density function (PDF). 66 67 Examples 68 -------- 69 > var myPDF = {{alias}}.factory( 10.0, 2.0 ); 70 > var y = myPDF( 10.0 ) 71 ~0.199 72 73 See Also 74 -------- 75