repl.txt (1248B)
1 2 {{alias}}( t, sigma ) 3 Evaluates the moment-generating function (MGF) for a Rayleigh distribution 4 with scale parameter `sigma` at a value `t`. 5 6 If provided `NaN` as any argument, the function returns `NaN`. 7 8 If provided a negative value for `sigma`, the function returns `NaN`. 9 10 Parameters 11 ---------- 12 t: number 13 Input value. 14 15 sigma: number 16 Scale parameter. 17 18 Returns 19 ------- 20 out: number 21 Evaluated MGF. 22 23 Examples 24 -------- 25 > var y = {{alias}}( 1.0, 3.0 ) 26 ~678.508 27 > y = {{alias}}( 1.0, 2.0 ) 28 ~38.65 29 > y = {{alias}}( -1.0, 4.0 ) 30 ~-0.947 31 > y = {{alias}}( NaN, 1.0 ) 32 NaN 33 > y = {{alias}}( 0.0, NaN ) 34 NaN 35 > y = {{alias}}( 0.5, -1.0 ) 36 NaN 37 38 39 {{alias}}.factory( sigma ) 40 Returns a function for evaluating the moment-generating function (MGF) of a 41 Rayleigh distribution with scale parameter `sigma`. 42 43 Parameters 44 ---------- 45 sigma: number 46 Scale parameter. 47 48 Returns 49 ------- 50 mgf: Function 51 Moment-generating function (MGF). 52 53 Examples 54 -------- 55 > var myMGF = {{alias}}.factory( 0.5 ); 56 > var y = myMGF( 1.0 ) 57 ~2.715 58 > y = myMGF( 0.5 ) 59 ~1.888 60 61 See Also 62 -------- 63