repl.txt (1142B)
1 2 {{alias}}( x, λ ) 3 Evaluates the moment-generating function (MGF) for a Poisson distribution 4 with mean parameter `λ` at a value `x`. 5 6 If provided `NaN` as any argument, the function returns `NaN`. 7 8 If provided a negative value for `λ`, the function returns `NaN`. 9 10 Parameters 11 ---------- 12 x: number 13 Input value. 14 15 λ: number 16 Mean parameter. 17 18 Returns 19 ------- 20 out: number 21 Evaluated MGF. 22 23 Examples 24 -------- 25 > var y = {{alias}}( 1.0, 1.5 ) 26 ~13.163 27 > y = {{alias}}( 0.5, 0.5 ) 28 ~1.383 29 > y = {{alias}}( NaN, 0.5 ) 30 NaN 31 > y = {{alias}}( 0.0, NaN ) 32 NaN 33 > y = {{alias}}( -2.0, -1.0 ) 34 NaN 35 36 37 {{alias}}.factory( λ ) 38 Returns a function for evaluating the moment-generating function (MGF) of a 39 Poisson distribution with mean parameter `λ`. 40 41 Parameters 42 ---------- 43 λ: number 44 Mean parameter. 45 46 Returns 47 ------- 48 mgf: Function 49 Moment-generating function (MGF). 50 51 Examples 52 -------- 53 > var myMGF = {{alias}}.factory( 2.0 ); 54 > var y = myMGF( 0.1 ) 55 ~1.234 56 57 See Also 58 -------- 59