repl.txt (1214B)
1 2 {{alias}}( t, λ ) 3 Evaluates the moment-generating function (MGF) for an exponential 4 distribution with rate parameter `λ` at a value `t`. 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 t: number 13 Input value. 14 15 λ: number 16 Rate parameter. 17 18 Returns 19 ------- 20 out: number 21 Evaluated MGF. 22 23 Examples 24 -------- 25 > var v = {{alias}}( 2.0, 3.0 ) 26 3.0 27 > v = {{alias}}( 0.4, 1.2 ) 28 1.5 29 > v = {{alias}}( 0.8, 1.6 ) 30 2.0 31 > v = {{alias}}( 4.0, 3.0 ) 32 NaN 33 > v = {{alias}}( NaN, 3.0 ) 34 NaN 35 > v = {{alias}}( 2.0, NaN ) 36 NaN 37 38 39 {{alias}}.factory( λ ) 40 Returns a function for evaluating the moment-generating function (MGF) for 41 an exponential distribution with rate parameter `λ`. 42 43 Parameters 44 ---------- 45 λ: number 46 Rate parameter. 47 48 Returns 49 ------- 50 mg: Function 51 Moment-generating function (MGF). 52 53 Examples 54 -------- 55 > var myMGF = {{alias}}.factory( 4.0 ); 56 > var y = myMGF( 3.0 ) 57 4.0 58 > y = myMGF( 0.5 ) 59 ~1.143 60 61 See Also 62 -------- 63