repl.txt (1643B)
1 2 {{alias}}( x, α, β ) 3 Evaluates the probability density function (PDF) for a beta prime 4 distribution with first shape parameter `α` and second shape parameter `β` 5 at a value `x`. 6 7 If provided `NaN` as any argument, the function returns `NaN`. 8 9 If `α <= 0` or `β <= 0`, the function returns `NaN`. 10 11 Parameters 12 ---------- 13 x: number 14 Input value. 15 16 α: number 17 First shape parameter. 18 19 β: number 20 Second shape parameter. 21 22 Returns 23 ------- 24 out: number 25 Evaluated PDF. 26 27 Examples 28 -------- 29 > var y = {{alias}}( 0.5, 1.0, 1.0 ) 30 ~0.444 31 > y = {{alias}}( 0.5, 2.0, 4.0 ) 32 ~0.878 33 > y = {{alias}}( 0.2, 2.0, 2.0 ) 34 ~0.579 35 > y = {{alias}}( 0.8, 4.0, 4.0 ) 36 ~0.65 37 > y = {{alias}}( -0.5, 4.0, 2.0 ) 38 0.0 39 40 > y = {{alias}}( 0.5, -1.0, 0.5 ) 41 NaN 42 > y = {{alias}}( 0.5, 0.5, -1.0 ) 43 NaN 44 45 > y = {{alias}}( NaN, 1.0, 1.0 ) 46 NaN 47 > y = {{alias}}( 0.5, NaN, 1.0 ) 48 NaN 49 > y = {{alias}}( 0.5, 1.0, NaN ) 50 NaN 51 52 53 {{alias}}.factory( α, β ) 54 Returns a function for evaluating the probability density function (PDF) of 55 a beta prime distribution with first shape parameter `α` and second shape 56 parameter `β`. 57 58 Parameters 59 ---------- 60 α: number 61 First shape parameter. 62 63 β: number 64 Second shape parameter. 65 66 Returns 67 ------- 68 pdf: Function 69 Probability density function (PDF). 70 71 Examples 72 -------- 73 > var mypdf = {{alias}}.factory( 0.5, 0.5 ); 74 > var y = mypdf( 0.8 ) 75 ~0.198 76 > y = mypdf( 0.3 ) 77 ~0.447 78 79 See Also 80 -------- 81