repl.txt (1480B)
1 2 {{alias}}( x, μ, β ) 3 Evaluates the probability density function (PDF) for a Gumbel distribution 4 with location parameter `μ` and scale parameter `β` at a value `x`. 5 6 If provided `NaN` as any argument, the function returns `NaN`. 7 8 If provided `β <= 0`, the function returns `NaN`. 9 10 Parameters 11 ---------- 12 x: number 13 Input value. 14 15 μ: number 16 Location parameter. 17 18 β: number 19 Scale parameter. 20 21 Returns 22 ------- 23 out: number 24 Evaluated PDF. 25 26 Examples 27 -------- 28 > var y = {{alias}}( 0.0, 0.0, 2.0 ) 29 ~0.184 30 > y = {{alias}}( 0.0, 0.0, 1.0 ) 31 ~0.368 32 > y = {{alias}}( 1.0, 3.0, 2.0 ) 33 ~0.09 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 // Negative scale parameter: 41 > y = {{alias}}( 2.0, 0.0, -1.0 ) 42 NaN 43 44 45 {{alias}}.factory( μ, β ) 46 Returns a function for evaluating the probability density function (PDF) 47 of a Gumbel distribution with location parameter `μ` and scale parameter 48 `β`. 49 50 Parameters 51 ---------- 52 μ: number 53 Location parameter. 54 55 β: number 56 Scale parameter. 57 58 Returns 59 ------- 60 pdf: Function 61 Probability density function (PDF). 62 63 Examples 64 -------- 65 > var myPDF = {{alias}}.factory( 10.0, 2.0 ); 66 > var y = myPDF( 10.0 ) 67 ~0.184 68 > y = myPDF( 12.0 ) 69 ~0.127 70 71 See Also 72 -------- 73